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Math 2 51-100
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Questions in this quiz (48)
151. A problem in mathematics is given to three students whose chances of solving it are 2/3, 3/4, 2/5. What is the probability that the problem will not be solved?
- Ao 19/20
- Bo 17/20
- Co 15/20
- Do 1/20
- Eo 1
252. An urn contains 10 balls: 3 red and 7 blue. A second urn contains 6 red balls and an unknown number of blue balls. A single ball is drawn from each urn. The probability that both balls are the same color is 0.54. Calculate the number of blue balls in the second urn.
- Ao 9
- Bo 2
- Co 4
- Do 5
- Eo 6
353. The probability that a boy will not pass M.B.A. examination is 1/5 and that a girl will not pass is 3/5. Calculate the probability that at least one of them passes the examination.
- Ao 11/25
- Bo 13/25
- Co 1/2
- Do 22/25
- Eo 16/25
454. The probability that a boy will not pass M.B.A. examination is 1/5 and that a girl will not pass is 3/5. Calculate the probability that exactly one of them passes the examination.
- Ao 11/25
- Bo 22/25
- Co 1/2
- Do 14/25
- Eo 16/25
555. A bag contains 6 red discs and 4 blue discs. If 3 discs are drawn from the bag without replacement, find the conditional probability that all three will be blue given that one of them is blue.
- A• 1/33
- Bo 5/33
- Co 11/16
- Do 4/165
- Eo 1/3
656. A 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?
- A1-(1/4)^4
- B1-(1/5)^4
- C(1/5)^4
- D0.7182
- E(1/4)^4
757. Find the formula of Binomial distribution
- AP_n(k)=(1/sqrt(npq))*FI(x)
- BP_n(k)=C_n^k*p^k*(1-p)^(n-k)
- CP_n(k)=(alfa^k*e^(-alfa))/k!
- DP_n(B|A)=(P(B)*P(A|B))/P(A)
- EP_n(k)=(1/sqrt(npq))*e^(-2p*(1-p))
860. A die is tossed. What is the probability that the die lands on 2?
- Ao 1/3
- Bo 1/6
- Co 1/5
- Do 1/36
- Eo 1/2
961. An integral function of distribution F(x) is:
- Ao decreasing
- Bo periodic
- Co non-decreasing
- Do odd
1062. Let A and B be events connected with the same trial. Show the event that means occurrence of at least one of the events A and B.
- AAB+AB+AB
- BA+B
- CAB
- DA+B+AB
- E=>AB
1163. The events A and B are independent, P(A)=0,3, P(B)=0,1. Find
- Ao 0,27
- Bo 0,4
- Co 0,63
- Do 0,07
- Eo 0,03
1264. There are 10 white, 15 black, 10 yellow, 25 red balls in a box. Find the probability that a random taken ball will be white.
- Ao 2/3
- Bo 1/6
- Co 3/14
- Do 1/14
- Eo 1/5
1365. Three coins are tossed. What is the probability that at least one of coins lands on “heads”?
- Ao 1/4
- Bo 7/8
- Co 1/6
- Do 1/5
- Eo 1/9
1466. A coin is tossed. What is the probability that the coin lands on “Tail”?
- Ao 1/2
- Bo 1/4
- Co 1/3
- Do 1/7
- Eo 1/9
1567. A coin is tossed. What is the probability that the coin lands on “Head”?
- Ao 1/5
- Bo 1/3
- Co 1/2
- Do 1
- Eo does not exist
1668. An integral function of distribution F(x) is:
- Ao decreasing
- Bo non-decreasing
- Co odd
- Do even
- Eo periodic
1769. If 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:
- Ao 0
- Bo 1
- Co 1/2
- Do 1/3
- Eo 1/5
1870. An urn contains 5 red, 3 white, 4 black balls. What is the probability of extracting a black ball from? Answer:OR 4/12
- Ao 2,01
- Bo 1,67
- Co 4,71
- Do 0,7
- Eo 4,7
1971. An urn contains 3 red, 4 white, 5 black balls. What is the probability of extracting a black ball from?
- Ao 5/12
- Bo 5/11
- Co 1/12
- Do 2/23
- Eo 5/16
2072. The lifetime of a machine part has a continuous distribution on the interval (0, 20) with probability density function f(x)=c(10+x)^(-2) . Calculate the probability that the lifetime of the machine part is less than 6.
- Ao 0.04
- Bo 0.15
- Co 0.56
- Do 0.53
- Eo 0.94
2173. The lifetime of a machine part has a continuous distribution on the interval (0, 20) with probability density function f(x)=c(10+x)^(-2) . Calculate the probability that the lifetime of the machine part is less than 5.
- Ao 0.03
- Bo 0.13
- Co 0.5
- Do 0.8
- Eo 0.97
2274. The probabilities of hit in a target at shooting by three guns are the following: p1=0,8; p2=0,7; p3=0,9. Find the probability of at least one hit at one shot by all three guns.
- Ao 0,555
- Bo 0,187
- Co 0,176
- Do 0,994
- Eo 0,165
2375. A student looks for one formula necessary to him in three directories. The probability that the formula is contained in the first, second and third directories is equal to 0,6; 0,7; 0,8 respectively. Find the probability that the formula is contained only in one directory?
- Ao 0,657
- Bo 0,546
- Co 0,765
- Do 0,188
- Eo 0,024
2476. A student looks for one formula necessary to him in three directories. The probability that the formula is contained in the first, second and third directories is equal to 0,6; 0,7; 0,8 respectively. Find the probability that the formula is contained only in two directory?
- Ao 0,765
- Bo 0,857
- Co 0,452
- Do 0,867
- Eo 0,863
2577. What kind of distribution is given by the density function ( )?
- Ao Poisson distribution
- Bo Normal distribution
- Co Uniform distribution
- Do Bernoulli distribution
- Eo Exponential distribution
2678. If a fair die is tossed twice, the probability that the first toss will be a number less than 3 and the second toss will be greater than 5 is
- Ao 1/3
- Bo 5/18
- Co 1/18
- Do 3/18
- Eo 0
2779. A class consists of 460 female and 540 male students. The students are divided according to their marks,
If one person is selected randomly, the probability that it did not pass given that it is female is:
Passed Did not pass
Female 400 60
Male 440 100- Ao 0.06
- Bo 0.13
- Co 0.15
- Do 0.101
- Eo none of the shown answers
2880. Marks on a Chemistry test follow a normal distribution with an expectation of 65 and a mean square deviation of 12. Approximately what percentages of the students have scores below 50?
- Ao 11%
- Bo 89%
- Co 15%
- Do 18%
- Eo 39%
2981. Suppose the test scores of 10000 students are normally distributed with an expectation of 76 and mean square deviation of 8. The number of students scoring between 60 and 82 is:
- Ao 2728
- Bo 1646
- Co 2605
- Do 1360
- Eo 7506
3082. If the probability density function of a continuous random variable X is f(x)= x/8 0<=x<=4 then p(0<x<1.5) is
- Ao 0.56
- Bo 0.312
- Co 0.1875
- Do 0.4
- Eo 0.1245
3183. Let X be a continuous random variable with density function
f(x)= |x|/10 for -2<x<4 Calculate the expected value of X.- Ao 1/5
- Bo 3/5
- Co 1
- Do 28/15
- Eo 12/15
3284. If the probability density function of a continuous random variable X is f(x)= kx^2 0<x<3 then the value of k is
- Ao 1/2
- Bo 0,25
- Co 1/9
- Do 0,3
- Eo Any positive value greater than 2
3385. A continuous random variable X is uniformly distributed over the interval [15, 21]. The expected value of X is (M(X))
- Ao 16
- Bo 18
- Co 10
- Do 3
- Eo 6
3486. How many different 3-letter arrangements can be formed using the letters in the word ABSENT, if each letter is used only once?
- Ao 6
- Bo 36
- Co 120
- Do 46.656
- Eo 72
3587. If P(E) is the probability that an event will occur, which of the following must be FALSE?
- Ao P(E)=1
- Bo P(E)=1/2
- Co P(E)=1/3
- Do P(E)= - 1/3
- Eo P(E)=0
3688. A student looks for one formula necessary to him in three directories. The probability that the formula is contained in the first, second and third directories is equal to 0,6; 0,7; 0,8 respectively. Find the probability that the formula is contained in all the directories?
- Ao 0,654
- Bo 0,765
- Co 0,336
- Do 0,768
- Eo 0,752
3789. A student looks for one formula necessary to him in three directories. The probability that the formula is contained in the first, second and third directories is equal to 0,6; 0,7; 0,8 respectively. Find the probability that the formula is contained only in two directory?.
- Ao 0,567
- Bo 0,680
- Co 0,452
- Do 0,780
- Eo 0,709
3890. The probability that the expense of electric power during one day will not exceed the established norm is equal to p=0,75. Find probability that at the closest 6 days the expense of electric power will not exceed the norm for 4 days.
- Ao 0,76
- Bo 0,54
- Co 0,30
- Do 0,70
- Eo 0,51
3991. How many different 6-letter arrangements can be formed using the letters in the word ABSENT, if each letter is used only once?
- Ao 6
- Bo 36
- Co 720
- Do 46
- Eo 1440
4092. Your state issues license plates consisting of letters and numbers. There are 26 letters and the letters may be repeated. There are 10 digits and the digits may be repeated. How many possible license plates can be issued with two letters followed by two numbers?
- Ao 2500
- Bo 6760
- Co 25000
- Do 67600
4193. A movie theatre sells 3 sizes of popcorn (small, medium, and large) with 3 choices of toppings (no butter, butter, extra butter). How many possible ways can a bag of popcorn be purchased?
- Ao 1
- Bo 3
- Co 9
- Do 27
- Eo 62
4294. A random variable Y has the following distribution:
Y -1 0 1 2
P(Y) C 4C 0.4 0.1
The value of the constant C is:- Ao 0.10
- Bo 0.15
- Co 0.20
- Do 0.25
- Eo 0.75
4395. Find the probability that an event A will happen exactly 80 times for 400 trials if the probability if the probability of appearance of the event for each trial equals 0,2. ( )
- Ao 0.9769
- Bo 0.04986
- Co 0.6
- Do 0.2
- Eo 1
4496. Which one of these variables is a continuous random variable?
- A• The time it takes a randomly selected student to complete an exam.
- Bo The number of tattoos a randomly selected person has.
- Co The number of women taller than 68 inches in a random sample of 5 women.
- Do The number of correct guesses on a multiple-choice test.
- Eo The number of 1’s in N rolls of a fair die
4597. Heights of college women have a distribution that can be approximated by a normal curve with an expectation of 65 inches and a mean square deviation equal to 3 inches. About what proportion of college women are between 65 and 68 inches tall?
- Ao 0.75
- Bo 0.5
- Co 0.34
- Do 0.17
- Eo 0.25
4698. The probability of hit in a target by a shooter at one shoot is p=0,75. Find the probability that the shooter will hit in the target 8 times at 10 shots.
- Ao 0,987
- Bo 0,765
- Co 0,657
- Do 0,273
- Eo 0,124
4799. Given a normal distribution with µ=90 and σ=10, what is the probability that X>75?
- Ao 0.93
- Bo 0.25
- Co 0.49
- Do 0.45
- Eo 0.01
48100. For a continuous random variable X, the probability density function f(x) represents
- Ao the probability at a fixed value of X
- Bo the area under the curve at X
- Co the area under the curve to the right of X
- Do the height of the function at X
- Eo the integral of the cumulative distribution function
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- Quiz on Math 2 51-100, created by No Name on 26/12/2019.
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