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Preguntas del test (107)
1How many chords can be drawn through 8 points on a circle?
- A32
- B28
- C64
- D42
- E12
2How many three digit numbers can be formed from the digits: 1, 2, 3, 4, 5 ?
- A265
- B125
- C10
- D100
- E625
3How many three digit numbers can be formed from the digits: 1, 2, 3, 4, 5 and 6, if each digit can be
used once?- A265
- B125
- C10
- D100
- E120
4How many three digit numbers can be formed with the digits: 0, 1, 2, 3, 4, 5 ?
- A260
- B45
- C180
- D100
- E125
5In how many ways is it possible to choose a white square and a black square on a chess board (8×8)
so that the squares must not lie in the same row or column?- A688
- B1024
- C512
- D768
- E800
6A coin is tossed twice. Find the probability that the coin lands on “tails” in both times.
- A1/8
- B¼
- C1
- D¾
- E½
7A coin is tossed twice. Find the probability that the coin lands on “tails” at least once.
- A1/8
- B¼
- C1
- D¾
- E½
8Two dice are tossed. Find the probability that the sum of aces does not exceed 5.
- A5/18
- B1/3
- C1/6
- D5/6
- E0,5
9There are 5 white, 10 black, 15 blue and 20 red balls in an urn. One ball is randomly extracted. Find
the probability that the extracted ball is blue or red.- A3/5
- B0,3
- C1/7
- D0,7
- E0,5
10There are 5 white and 5 black balls in an urn. What is the probability of extracting a red ball from the
urn?- A1/3
- B1/5
- C½
- D0
- E1
11An urn contains 5 red, 3 white and 4 blue balls. What is the probability of extracting a black ball from
the urn?- A1/3
- B5/12
- C1
- D0
- E3/12
12Four coins are tossed. What is the probability that at least one of the coins lands on “heads”?
- A3/4
- B15/16
- C¼
- D7/8
- E1/16
13Three shooters shoot in a target. The probability of hit in the target at one shot for the 1st shooter is
0,5; for the 2nd – 0,8 and for the 3rd – 0,9. Find the probability that at least one of the shooters will not
hit in the target.- A0,5
- B0,18
- C0,72
- D0,36
- E0,64
14Two dice are tossed. Find the probability that the sum of aces is divided on 7.
- A0,5
- B1/6
- C7/36
- D¼
- E1/7
15Two dice are tossed. Find the probability that the sum of aces is divided on 11.
- A0
- B1/6
- C5/36
- D¼
- E1/18
16Two dice are tossed. Find the probability that the sum of aces is divided on 13.
- A0
- B1/6
- C5/36
- D¼
- E1/18
17The events A and B are independent, P(A) 0,2; P(B) 0,6. Find P(A B) .
- A0,16
- B0,48
- C0,32
- D0,24
- E0,12
18Two shots are made in a target by two guns. The probability of hit from the first gun is 0,9, from the
second gun – 0,7. Find the probability of only one hit in the target.- A0,68
- B0,72
- C0,63
- D0,18
- E0,34
19An urn contains 4 white and 6 black balls. Two balls are randomly extracted from the urn. What is
the probability that both balls are black?- A1/12
- B3/5
- C1/3
- D7/12
- E2/5
20An urn contains 5 red, 3 white and 4 black balls. What is the probability of extracting a black ball
from the urn?- A5/12
- B0,5
- C0,25
- D0
- E1/3
21In a batch of 5 products 2 of them have the first grade and 3 – the second grade. Two products are
randomly taken. Find the probability that they have different grades.- A0,4
- B0,5
- C0,1
- D0,3
- E0,6
22Two shooters simultaneously shoot in a target. The probability of hit in the target by first shooter is
0,7, and by the second – 0,8. Find the probability that none of shooters will hit in the target.- A0,96
- B0,56
- C0,06
- D0,04
- E0,38
23A coin is tossed 4 times. Find the probability that the coin lands on heads only once.
- A0,35
- B0,15
- C0,75
- D0,5
- E0,25
24A coin is tossed 5 times. Find the probability that the coin lands on heads 5 times.
- A1/32
- B5/32
- C0,5
- D0,65
- E7/32
25A coming up seeds of wheat makes 60 %. Find the probability that two of five sown seeds will come
up.- A0,312
- B0,7208
- C0,2304
- D0,2568
- E0,563
26A coming up seeds of wheat makes 60 %. Find the probability that none of four sown seeds will
come up.- A0,124
- B0,0256
- C0,463
- D0,1248
- E0,0426
27During the year two firms have an opportunity independently from each other to go bankrupt with
probabilities 0,05 and 0,1. Find the probability that at the end of the year both firms will function.- A0,256
- B0,38
- C0,45
- D0,855
- E0,64
28A card is drawn at random from an ordinary deck of 52 playing cards. What is the probability that the
card is a queen?- A0,725
- B1/13
- C0,4
- D1/52
- E4/13
29A card is drawn at random from an ordinary deck of 52 playing cards. What is the probability that the
card is a king or a spade?- A0,725
- B1/13
- C0,4
- D1/52
- E4/13
30A card is drawn at random from an ordinary deck of 52 playing cards. What is the probability that the
card is a queen or a king?- A0,725
- B1/13
- C0,4
- D1/52
- E2/13
31One bag contains 5 white and 4 black balls. Another bag contains 7 white and 9 black balls. A ball is
transferred from the first bag to the second and then a ball is drawn from second. What will be the
probability that the ball is white?
- A0.23
- B5/12
- C0.35
- D8/71
- E4/9
32One bag contains 5 white and 4 black balls. Another bag contains 7 white and 9 black balls. A ball is
transferred from the first bag to the second and then a ball is drawn from second. What will be the
probability that the ball is black?
- A0.23
- B85/153
- C0.35
- D8/71
- E5/9
33A factory production line is manufacturing bolts using three machines, A, B and C. Of the total
output, machine A is responsible for 25%, machine B for 35% and machine C for the rest. If it is
known from previous experience with the machines that 5% of the output from machine A is
defective, 4% from machine B and 2% from machine C. A bolt is chosen at random from the
production line and found to be defective. What is the probability that it came from machine A?
- A16/69
- B25/57
- C28/69
- D49/57
- E25/69
34A factory production line is manufacturing bolts using three machines, A, B and C. Of the total
output, machine A is responsible for 25%, machine B for 35% and machine C for the rest. If it is
known from previous experience with the machines that 5% of the output from machine A is
defective, 4% from machine B and 2% from machine C. A bolt is chosen at random from the
production line and found to be defective. What is the probability that it came from machine C?- A16/69
- B25/57
- C28/69
- D49/57
- E25/69
35Machines A and B produce 10% and 90% respectively of the production of a component intended for
the motor industry. From experience, it is known that the probability that machine A produces a
defective component is 0.01 while the probability that machine B produces a defective component is
0.05. If a component is selected at random from a day’s production and is found to be defective, find
the probability that it was made by machine B.- A0.98
- B0.35
- C0.12
- D0.02
- E0.65
36The mathematical expectation M(C) of a constant C is equal to
- A
- B2 С
- C0
- D1
- EC
37The dispersion D(C) of a constant C is equal to
- A
- B2 С
- C0
- D1
- EC
38The mean square deviation (С) of a constant C is equal to
- A
- B2 С
- C0
- D1
- EC
39The mathematical expectation of a random variable Х is 4. Find М(3Х-7)
- A5
- B0
- C17
- D7
- E12
40The dispersion of a random variable X is 2. Find D(3Х-7)
- A0
- B14
- C13
- D18
- E-1
41The random variables X and Y are independent. Find the dispersion of the random variable Z = 2X –
3Y+ 5 if it is known that D(X) = 2, D(Y) = 4.- A-4
- B56
- C44
- D-3
- E49
42The random variables X and Y are independent. Find the dispersion of the random variable Z = 5X –
Y+ 6 if it is known that D(X) = 2, D(Y) = 0,9.- A50,9
- B49,1
- C3,45
- D27,7
- E56,9
43The random variables X and Y are independent. Find the mathematical expectation of the random
variable Z = 5X – Y+ 6 if it is known that M(X) = - 1, M(Y) =6.- A-4
- B6
- C-6
- D-5
- E13
44The law of distribution of a discrete random variable X is given by the following table:
0,7 0,3
2
i
i
p
x a
- A5
- B4
- C3
- D2
- E1
45Find the mean square deviation σ(X) of a random variable X, knowing its law of distribution:
0,2 0,4 0,4
0 1 3
i
i- A0,5
- B0,2
- C2
- D0,1
- E1,2
46A random variable X has the following law of distribution:
1/30 3/10 1/ 2 1/ 6
0 1 2 3
i
i
p
x
Find
the mathematical expectation of X.- A2,3
- B1,8
- C2
- D1,5
- E1
47Let a random variable X be given by the following law of distribution:
0,1
3
0,1 0,2 0,4 0,2
3 2 0 2
i
i
p
x
Find the mathematical expectation M(X).- A1
- B0
- C0,2
- D0,1
- E2
48Let a random variable X be given by the following law of distribution:
0,1
3
0,1 0,2 0,4 0,2
3 2 0 2
i
i
p
x
Find the dispersion D(X).- A0,1
- B0,34
- C1
- D3,4
- E0
49If all possible values of a random variable X belong to an interval (a, b) then the integral function of
distribution F(x) for x b is equal to:- A2
- B-1
- C0,5
- D0
- E1
50If all possible values of a random variable X belong to an interval (a, b) then the integral function of
distribution F(x) for x a is equal to:- A2
- B-1
- C0,5
- D0
- E1
51An integral function of distribution F(x) is
- Aodd
- Bnon-decreasing
- Ceven
- Dperiodic
- Edecreasing
52A random variable X is given by the integral function of distribution:
1 3.
1 3,
4
1
4
1
0 1,
( )
if x
x if x
if x
F x Calculate the probability of hit of the random variable X in the
interval (0,2).- A2/3
- B1
- C¼
- D0
- E0,5
53A random variable X is given by the integral function of distribution:
1 4.
1 2 4,
2
1
0 2,
( )
if x
x if x
if x
F x Find the probability of hit of the random variable X into the
interval (2,3).- A1
- B2/3
- C1/3
- D0,5
- E0,25
54A random variable X is given by the integral function of distribution:
1 1.
0 1,
0 0,
( )
if x
x if x
if x
F x
Find the mathematical expectation M(X).
- A0
- B0,5
- C2/3
- D1
- E1/3
55A random variable X is given by the integral function of distribution:
1 1.
0 1,
0 0,
( )
if x
x if x
if x
F x
Find the dispersion D(X).- A1/12
- B0,5
- C2/3
- D1
- E1/3
56The graph of the density of distribution f(x) of a continuous random variable X cannot be:
o
o
o
o
o- AThere is no right answer
- Bto the right of the axis Oy
- Cto the left of the axis Oy
- Dupper the axis Ox
- Ebelow the axis Ox
57A random variable X is given by the probability density:
0 4
0 4
4
1
0 0
( )
if x
if x
if x
f x Find the
mathematical expectation M(X).- A1
- B2
- C0
- D-2
- E-1
58A random variable X is given by the probability density:
0 4
0 4
4
1
0 0
( )
if x
if x
if x
f x Find the
dispersion D(X).- A1/3
- B2/7
- C0
- D4/3
- E0,25
59A random variable is given by the integral function of distribution
1 3
1 3
8
1
8
0 1
( )
2
if x
if x
х
if x
F x . Find the dispersion D(X).
- A11\36
- B7\36
- C0,25
- D0
- E0,5
60A random variable X has the following density of distribution: 2
2
2
1
( )
х
f x e
. Find the
dispersion D(X).- A-2
- B-1
- C0
- D2
- E1
61A discrete variation series of a sample is given:
4 16 5
2 1 4
i
i
n
x
Find the volume of the variation
series.- A1
- B4
- C16
- D25
- E3
62The sum of frequencies of all variants of a sample is equal to:
- A1
- BThe sample mean
- C0
- DThe sample dispersion
- EThe volume of a sample
63The sum of relative frequencies of all variants of a sample is equal to:
- AThe sample mean
- BThe volume of a sample
- C0
- DThe sample dispersion
- E1
64A discrete variation series of a sample is given:
4 16 5
2 1 4
i
i
n
x
Find the median of the variation
series.- A1
- B-2
- C4
- D16
- E5
65A discrete variation series of a sample is given:
4 16 5
2 1 4
i
i
n
x
Find the mode of the variation
series.- A1
- B4
- C16
- D25
- E3
66A discrete variation series of a sample is given:
4 16 5
2 1 4
i
i
n
x
Find the sample mean x .- A0
- B28
- C16
- D2,08
- E1,12
67A discrete variation series of a sample is given:
4 16 5
2 1 4
i
i
n
x
Find the sample dispersion
s2 .- A0
- B0,82
- C4
- D3,2256
- E1,2234
68A discrete variation series of a sample is given:
20 50 18 12
2 0 1 5
i
i
n
x
Find the sample
dispersion
s2 .- A0
- B0,8002
- C4
- D3,8356
- E1,2234
69Find the mode of the following sample: {6, 6, 7, 10, 12, 12, 12}.
- A12
- B5
- C6
- D10
- E11
70Find the mode of the following sample: {1,1,1,2,3,3,3,7,8,8,8,8}.
- A8
- B7
- C3
- D2
- E1
71Find the median of the following sample: {1,1,1,2,3,3,3,7,8,8,8,8}.
- A3
- B2
- C7
- D1
- E8
72Given the sample: {1,1,1,2,3,3,3,7,8,8,8,8}. Find the sample mean.
- A53/12
- B4/13
- C3
- D45/11
- E8
73How will the sample mean change if all variants are increased in 5 times?
- Awill not change
- Bwill decrease in 25 times
- Cwill increase in 25 times
- Dwill decrease in 5 times
- Ewill increase in 5 times
74How will the sample dispersion change if all variants are increased in 5 times?
- Awill not change
- Bwill decrease in 25 times
- Cwill increase in 25 times
- Dwill decrease in 5 times
- Ewill increase in 5 times
75How will the sample dispersion change if all variants are increased on 6?
- Awill not change
- Bwill decrease in 6 times
- Cwill increase in 6 times
- Dwill increase on 6
- Ewill decrease on 36
76How will the sample mean change if all variants are increased on 6?
- Awill not change
- Bwill decrease in 6 times
- Cwill increase in 6 times
- Dwill increase on 6
- Ewill decrease on 36
77A survey of magazine subscribers showed that during the past 12 months 45.8% rented a car for
business reasons, 54% rented a car for personal reasons, and 30% rented a car for both business and
personal reasons. What is the probability that a subscriber rented a car for business or personal
reasons?- A1
- B0.698
- C0.332
- D0.998
- E0.722
78Let the random variable X represent the profit made on a randomly selected day by a certain store.
Assume that X is approximately normal with mean $360 and standard deviation $50. What is P(X
>$400)?- A0.2119
- B0.8450
- C0.5319
- D0.2881
- E0.7881
79Let the random variable X represent the profit made on a randomly selected day by a certain store.
Assume that X is approximately normal with mean $360 and standard deviation $50. What is P(X≤
$400)?- A0.2119
- B0.8450
- C0.5319
- D0.2881
- E0.7881
80Let the random variable X represent the profit made on a randomly selected day by a certain store.
Assume that X is approximately normal with mean $360 and standard deviation $50. What is P(X <
$300)?- A0.8450
- B0.5319
- C0.1151
- D0.2881
- E0.0012
81Let the random variable X represent the profit made on a randomly selected day by a certain store.
Assume that X is approximately normal with mean $360 and standard deviation $50. What is P(X ≥
$300)?- A0.9912
- B0.2119
- C0.1151
- D0.2881
- E0.8849
82Delta Airlines quotes a flight time of 125 minutes for its flights from Cincinnati to Tampa.
Suppose we believe that actual flight times are uniformly distributed between 120 minutes and 140
minutes. What is the probability that the flight will be more than 10 minutes late?- A0.99
- B0.25
- C0.06
- D0.14
- E0.78
83Delta Airlines quotes a flight time of 125 minutes for its flights from Cincinnati to Tampa.
Suppose we believe that actual flight times are uniformly distributed between 120 minutes and 140
minutes. What is the expected flight time?- A130 minutes
- B125 minutes
- C140 minutes
- D120 minutes
- E135 minutes
84The random variable x is known to be uniformly distributed between 1.0 and 1.5. Compute P(x =
1.25)- A0.25
- B0.5
- C0.9
- D0
- E0.7
85The random variable x is known to be uniformly distributed between 1.0 and 1.5. Compute P(1.0
≤ x ≤ 1.25)
o
o
o
o
o- A0.25
- B0.5
- C1
- D0
- E0.75
86The random variable x is known to be uniformly distributed between 1.0 and 1.5. Compute P(1.2
≤ x ≤ 1.5)- A0.25
- B0.5
- C1
- D0.9
- E0.6
87The driving distance for the top 100 golfers on a tour is between 284.7 and 310.6 yards. Assume
that the driving distance for these golfers is uniformly distributed over this interval. What is the
probability the driving distance for one of these golfers is less than 290 yards?- A0.9931
- B0.2778
- C0.3345
- D0.8854
- E0.2046
88Suppose that the probability of an event A is 0.2 and the probability of an event B is 0.4. Also,
suppose that the two events are independent. Then the conditional probability P (A) B is- A0.6
- B1
- C0.08
- D0.5
- E0.2
89Which one of these examples is a continuous random variable?
- AThe time it takes a randomly selected student to complete an exam
- BThe number of children a randomly selected person has
- CThe number of women taller than 68 inches in a random sample of 5 women
- DThe number of correct guesses on a multiple choice test
- EThe number of new accounts established by a salesperson in a year
90The probability is p = 0.80 that a patient with a certain disease will be successfully treated with a
new medical treatment. Suppose that the treatment is used on 40 patients. What is the expected value
of the number of patients who are successfully treated?- A40
- B32
- C20
- D8
- E36
91During the period of time that a local university takes phone-in registrations, calls come in at the
rate of one every two minutes. What is the expected number of calls in one hour?- A12
- B25
- C30
- D60
- E45
92A simple random sample of 49 items from a population with σ = 6 resulted in a sample mean of
32. Provide a 95% confidence interval for the population mean- A(30.05, 32.77)
- B(27.36, 37.92)
- C(31.1, 34.3)
- D(28.12, 35.69)
- E(30.32, 33.68)
93simple random sample of 49 items from a population with σ = 6 resulted in a sample mean of
32. Provide a 99% confidence interval for the population mean- A(29.79, 34.21)
- B(27.36, 37.92)
- C(31.1, 34.3)
- D(28.12, 35.69)
- E(30.05, 32.77
94In an effort to estimate the mean amount spent per customer for dinner at a major Atlanta
restaurant, data were collected for a sample of 100 customers. Assume a population standard
deviation of $5. If the sample mean is $24.80, what is the 95% confidence interval for the population
mean?- A(20.01, 26.58)
- B(23.82, 25.78)
- C(31.02, 33.56)
- D(42.56, 45.96)
- E(21.4, 25.66)
95A simple random sample of 64 items resulted in a sample mean of 80. The population standard
deviation is σ = 15. Compute the 95% confidence interval for the population mean.- A(75.01, 88.95)
- B(66.12, 67.55)
- C(21.9, 30.55
- D(76.33, 83.67)
- E(67.23, 99.87)
96Which of the following numerical measures for a sample determines the value in the middle when
the data are arranged in ascending order- Arange
- Bstandard deviation
- Csample mean
- Dmode
- Emedian
97Which of the following numerical measures for a sample determines the value that occurs with
greatest frequency- Arange
- Bstandard deviation
- Csample mean
- Dmode
- Emedian
98Consider a sample with data values of 10, 20, 12, 17, and 16. Compute the sample mean
- A13
- B10
- C15
- D12
- E14
99Consider a sample with data values of 10, 20, 12, 17, and 16. Compute the sample median
- A13
- B16
- C15
- D12
- E14
100Consider a sample with data values of 10, 20, 21, 12, 17, and 16. Compute the sample median
- A18
- B16.5
- C15.5
- D16
- E17
101Consider a sample with data values of 10, 20, 21, 12, 17, and 16. Compute the sample mean
- A18
- B16.5
- C15.5
- D16
- E17
102Consider a sample with data values of 53, 55, 70, 58, 64, 57, 53, 69, 57, 68, and 53. Compute the
sample mean- A50
- B55.21
- C63.36
- D59.73
- E58
103Consider a sample with data values of 53, 55, 70, 58, 64, 57, 53, 69, 57, 68, and 53. Compute the
sample median- A61.3
- B59.5
- C64
- D61
- E58
104Consider a sample with data values of 53, 55, 70, 58, 64, 57, 53, 69, 57, 68, and 53. Compute the
sample mode- A55
- B68
- C58
- D57
- E53
105Which of the following numerical measures for a sample determines the difference between the
largest and smallest values
- Amode
- Bstandard deviation
- Csample variance
- Dmedian
- Erange
106Consider a sample with data values of 10, 20, 12, 17, and 16. Compute the range
- A8
- B7
- C6
- D12
- E10
107A bowler’s scores for six games were 182, 168, 184, 190, 170, and 174. Compute the sample
range- A16
- B24
- C18
- D22
- E10
Información
- Descripción
- Test sobre Бауыржан пересдача, creado por Very İnteresting el 12/06/2017.
- Autor
- Very İnteresting
- Idioma
- English
- Visitas
- 4
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