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TBMS 2
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Questions in this quiz (60)
1Find the correctly calculated probabilities of the events.
- A
- B
- C
- D
- E
- A
2Find the correctly calculated probabilities of the events
- A
- B
- C
- D
- E
- A
3Find the probability of hit of the random variable X into the interval
- A
- B
- C
- D
- E
- A
4Find the correctly calculated probabilities of the events.
- A
- B
- C
- D
- E
- A
5Find the probability of hit of the random variable X into the interval
- A
- B
- C
- D
- E
- A
6The number of all possible allocations
- A
- B
- C
- D
- E
- A
7The number of all possible combinations
- A
- B
- C
- D
- E
- A
8How many ways are there to choose 2 details from a box containing 9 details?
- A12
- B4
- C22
- D11
- E36
9The numbers of allocations, permutations and combinations are connected by the equality
- A
- B
- C
- D
- E
- A
10If some object A can be chosen from the set of objects by m ways, and another object B can be chosen by n ways, then we can choose either A or B by … ways.
- Am+n
- Bm-n
- Cn-m
- Dn!
- E
11Events are equally possible if …
- Anone of them will necessarily happen as a result of a trial
- Bthere is reason to consider that none of them is more possible (probable) than other
- Cthere is reason to consider that one of them is more possible (probable) than other
- Dat least one of them will necessarily happen as a result of a trial
- Eone of them will necessarily happen as a result of a trial
12The probability of the event A is determined by the formula
- A
- B
- C
- D
- E
- A
13The probability of a reliable event is equal to …
- A1
- B0
- C1/2
- D1/3
- E1/5
14The probability of an impossible event is equal to …
- A0
- B1
- C1/3
- D1/2
- E1/5
15The probability of a random event is …
- Athe positive number between 0 and 1
- Bthe positive number between 0 and ½
- Cthe positive number between 0 and 10
- Dthe positive number between 0 and 1/3
- Ethe positive number between 0 and 1/5
16The relative frequency of the event A is defined by the formula:
- A
- B
- C
- D
- E
- A
17At shooting by a rifle the relative frequency of hit in a target has appeared equal to 0,4. Find the number of hits if 20 shots were made.
- A8
- B3
- C20
- D1
- E6
18Two dice are tossed. Find the probability that different number of aces will appear on dices
- A1/6
- B5/6
- C1/2
- D1/3
- E1
19Two dice are tossed. Find the probability that the sum of aces will exceed 10.
- A1/12
- B5/12
- C5/18
- D1/18
- E0
20Three students pass an exam. The probability that the exam will be passed on "excellent" by the first student is equal to 0,5; by the second – 0,2; and by the third – 0,8. What is the probability that the exam will be passed on "excellent" by only one student?
- A0,42
- B0,48
- C0,92
- D0,28
- E0,99
21Three students pass an exam. The probability that the exam will be passed on "excellent" by the first student is equal to 0,5; by the second – 0,3; and by the third – 0,7. What is the probability that the exam will be passed on "excellent" by exactly two students?
- A0,464
- B0,395
- C0,12
- D0,192
- E0,48
22Three students pass an exam. The probability that the exam will be passed on "excellent" by the first student is equal to 0,3; by the second – 0,7; and by the third – 0,8. What is the probability that the exam will be passed on "excellent" by at least one student?
- A0,958
- B0,93
- C0,465
- D0,15
- E0,848
23Three students pass an exam. The probability that the exam will be passed on "excellent" by the first student is equal to 0,3; by the second – 0,7; and by the third – 0,8. What is the probability that the exam will be passed on "excellent" by neither of the students?
- A0,042
- B0,95
- C0,46
- D0,07
- E0,84
24A bag contains 4 white, 6 red and 10 black balls. Four balls are drawn one by one with replacement, what is the probability that at least one is white?
- A
- B
- C
- D0.7182
- E
- A
25How would it change the expected value of a random variable X if we multiply the X by a number k.
- A
- B
- C
- D
- E
- A
26Which of the following expressions indicates the occurrence of exactly one of the events A, B, C?
- A
- B
- C
- D
- E
- A
27There are 100 identical details (and 20 of them are painted) in a box. Find the probability that the first randomly taken detail will be painted.
- A1/20
- B1/5
- C1/2
- D1/10
- E1/9
28A die is tossed. Find the probability that an even number of aces will appear.
- A1/2
- B1
- C0
- D1/5
- E1/9
29Participants of a toss-up pull a ticket with numbers from 1 up to 30 from a box. Find the probability that the number of the first randomly taken ticket contains the digit 2.
- A1/30
- B1/3
- C1/2
- D2/5
- E1/5
30In a batch of 8 details the quality department has found out 3 non-standard details. What is the relative frequency of appearance of non-standard details equal to?
- A1/2
- B1
- C3/11
- D3/8
- E3/5
31Given a normal distribution with µ=90 and σ=10, what is the probability that X>75?
- A0,93
- B0,25
- C0,49
- D0,45
- E0,01
32For a continuous random variable X, the probability density function f(x) represents
- Athe probability at a fixed value of X
- Bthe area under the curve at X
- Cthe area under the curve to the right of X
- Dthe height of the function at X
- Ethe integral of the cumulative distribution function
33Two events each have probability 0.3 of occurring and are independent. The probability that neither occur is
- A0,49
- B0,51
- C0,3
- D0,6
- Enone of the given answers
34then the value of k is
- A1/2
- B0,25
- C1/9
- D0,3
- EAny positive value greater than 2
35A continuous random variable X is uniformly distributed over the interval [15, 21]. The expected value of X is
- A16
- B18
- C10
- D3
- E6
36Four buyers went in a shop. The probability that each buyer makes purchases is equal to 0,5. Find the probability that three of them will make purchases.
- A0,25
- B0,096
- C0,95
- D0,125
- E0,712
37Three buyers went in a shop. The probability that each buyer makes purchases is equal to 0,8. Find the probability that two of them will make purchases.
- A0,384
- B0,7
- C0,189
- D0,96
- E0,904
38If D(X)=3, find D(-3X+4).
- A12
- B-5
- C19
- D27
- E-9
39If D(X)=3, find D(2X-3).
- A10
- B9
- C3
- D12
- E-9
40The table below shows the distribution of a random variable X. Find M[x] and D(X).
- AM[X]= 0,2; D(X) =0.8
- BM[X]= 0,3; D(X) =0.27
- CM[X]= 0,2; D(X) =0.76
- DM[X]= 0,2; D(X) =0.21
- EM[X]= 0,8; D(X) =0.24
41The table below shows the distribution of a random variable X. What is the D(X)?
- A2,01
- B1,67
- C4,71
- D0,7
- E4,7
42The table below shows the distribution of a random variable X. What is the M(X)?
- A0,7
- B0,5
- C4
- D0,34
- E4,7
43The table below shows the distribution of a random variable X. What is the D(X)?
- A0,7
- B0,5
- C4
- D0,34
- E4,7
44The table below shows the distribution of a random variable X. What is the M(X)?
- A0,7
- B0,5
- C4
- D0,34
- E4,7
45The table below shows the distribution of a random variable X. What is the M(X)?
- A0,7
- B0,5
- C4
- D0,34
- E4,7
46The cumulative distribution function of a discrete random variable X is given by
- A0,4
- B0,3
- C0,6
- D0,9
- E0,5
47The cumulative distribution function of a discrete random variable X is given by
- A0,4
- B0,3
- C0,6
- D0,9
- E0,5
48The cumulative distribution function of a discrete random variable X is given by
- A0,4
- B0,3
- C0,6
- D0,9
- E0,5
49The cumulative distribution function of a discrete random variable X is given by
- A0,3
- B0,4
- C0,6
- D0,9
- E0,5
50The cumulative distribution function of a discrete random variable X is given by
- A0,4
- B0,3
- C0,6
- D1
- E0,5
51You are interested in knowing what percent of all households in a large city have a single woman as the head of the household. To estimate this percentage, you conduct a survey with 200 households and determine how many of these 200 are headed by a single woman. In this example, what is the population?
- Aall households in the city
- Bthe 200 households selected
- Cthe percent of households headed by single women in the city
- Dthe percent of households headed by single women among the 200 selected households
52You are interested in knowing what percent of all households in a large city have a single woman as the head of the household. To estimate this percentage, you conduct a survey with 200 households and determine how many of these 200 are headed by a single woman.In this example, what is the sample?
- Athe 200 households selected
- Bthe percent ofhouseholds headed by single women in the city
- Cthe percent of households headed by single women among the 200 selected households
- Dall households in the city
53You are interested in knowing what percent of all households in a large city have a single woman as the head of the household. To estimate this percentage, you conduct a survey with 200 households and determine how many of these 200 are headed by a single woman.In this example, what is the parameter?
- Athe 200 households selected
- Bthe percent ofhouseholds headed by single women in the city
- Cthe percent of households headed by single women among the 200 selected households
- Dall households in the city
54You are interested in knowing what percent of all households in a large city have a single woman as the head of the household. To estimate this percentage, you conduct a survey with 200 households and determine how many of these 200 are headed by a single woman.In this example, what is the statistic?
- Athe 200 households selected
- Bthe percent ofhouseholds headed by single women in the city
- Cthe percent of households headed by single women among the 200 selected households
- Dall households in the city
55Which of the following is an example of a quantitative variable (also known as a numerical variable)?
- Athe color of an automobile
- Ba person’s state of residence
- Ca person’s zip code
- Da person’s height, recorded in inches
56The Lakers scored the following numbers of goals in their last twenty matches: 3, 0, 1, 5, 4, 3, 2, 6, 4, 2, 3, 3, 0, 7, 1, 1, 2, 3, 4, 3. Which number had the highest frequency?
- A3
- B4
- C6
- D7
57Which letter occurs the most frequently in the following sentence? THE SUN ALWAYS SETS IN THE WEST.
- AE
- BS
- CT
- DW
58Pi is a special number that is used to find the area of a circle. The following number gives the first 100 digits of the number pi: 3.141 592 653 589 793 238 462 643 383 279 502 884 197 169 399 375 105 820 974 944 592 307 816 406 286 208 998 628 034 825 342 117 067. Which of the digits 0 to 9 occurs most frequently in this number?
- A2
- B3
- C8
- D9
59A fair die was thrown 100 times. The frequency distribution is shown in the following table:
How many throws scored less than 3?
- A11
- B34
- C45
- D56
6060 students sat a test. The frequency distribution is shown in the following table:
How many students scored 5 or more?
- A11
- B22
- C33
- D38
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- Description
- Quiz on TBMS 2, created by Julia Melody on 20/12/2019.
- Author
- Julia Melody
- Language
- English
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