200+ Probability-and-statistics Questions

Probability-and-statistics Questions Set 1:

Quiz Mode

If a fair coin is tossed 6 times, what is the probability of getting exactly 3 tails?

7/16

1/8

1/2

5/16

Solution:

If X and Y are random variables and V is the variance, what is the formula for V(X - Y)?

V(X) - V(Y)

V(X) + V(Y)

V(Y) - V(X)

-V(X).V(Y)

Solution:

The coefficient of correlation between two variables X and Y is 0.63. Their covariance is 14. The variance of X is 28. Find the standard deviation of Y.

2.1

4.2

8.4

16.8

Solution:

In a binomial distribution, if p is the probability of success, q is the probability of failure, and n is the number of trials, what is the value of the variance?

npq

np/q

√(npq)

Solution:

Out of a pack of 52 cards, one is lost. From the remaining pack, two cards are drawn and found to be spades. What is the chance that the missing card is a spade?

10/50

10/49

11/49

11/50

Solution:

Which of the following is a Continuous Probability Distribution?

Binomial Probability Distribution

Poisson's Probability Distribution

Exponential Probability Distribution

None of the above

Solution:

Find the mean values of X and Y from the following regression equations:

10X - 25Y + 200 = 0

8X + 5Y = 48

0.8 and 8.32 respectively

8.32 and 0.8 respectively

8.8 and 4.48 respectively

4.48 and 8.8 respectively

Solution:

The normal rate of flu in animals is known to be 40%. Biologists invented a vaccine and injected 15 animals with it to check if the vaccine is working. Calculate the probability that all animals which took the vaccine are safe from the flu.

0.006

0.021

0.00047

0.0008

Solution:

A problem in mathematics is given to three students A, B and C. If the probability of A solving the problem is 1/2 and the probability of B not solving it is 1/4, and the overall probability of the problem being solved is 63/64, what is the probability of student C solving the problem?

7/8

1/5

3/8

1/2

Solution:

The probability that there is at least one question blocked (when a question is incorrect) on 'Abekus' created by an intern A is 0.2, and for B and C they are 0.25 and 0.4 respectively. A, B and C prepared 10, 16 and 20 questions respectively. Find the expected number of Active (correct) questions.

Probability-and-statistics Questions Set 1:

If a fair coin is tossed 6 times, what is the probability of getting exactly 3 tails?

Solution:

If X and Y are random variables and V is the variance, what is the formula for V(X - Y)?

Solution:

The coefficient of correlation between two variables X and Y is 0.63. Their covariance is 14. The variance of X is 28. Find the standard deviation of Y.

Solution:

In a binomial distribution, if p is the probability of success, q is the probability of failure, and n is the number of trials, what is the value of the variance?

Solution:

Out of a pack of 52 cards, one is lost. From the remaining pack, two cards are drawn and found to be spades. What is the chance that the missing card is a spade?

Solution:

Which of the following is a Continuous Probability Distribution?

Solution:

Find the mean values of X and Y from the following regression equations:

10X - 25Y + 200 = 0

8X + 5Y = 48

Solution:

The normal rate of flu in animals is known to be 40%. Biologists invented a vaccine and injected 15 animals with it to check if the vaccine is working. Calculate the probability that all animals which took the vaccine are safe from the flu.

Solution:

A problem in mathematics is given to three students A, B and C. If the probability of A solving the problem is 1/2 and the probability of B not solving it is 1/4, and the overall probability of the problem being solved is 63/64, what is the probability of student C solving the problem?

Solution:

The probability that there is at least one question blocked (when a question is incorrect) on 'Abekus' created by an intern A is 0.2, and for B and C they are 0.25 and 0.4 respectively. A, B and C prepared 10, 16 and 20 questions respectively. Find the expected number of Active (correct) questions.

Solution:

Related Question Sets:

Related Topics:

Probability-and-statistics Questions Set 1:

If a fair coin is tossed 6 times, what is the probability of getting exactly 3 tails?

Solution:

If X and Y are random variables and V is the variance, what is the formula for V(X - Y)?

Solution:

The coefficient of correlation between two variables X and Y is 0.63. Their covariance is 14. The variance of X is 28. Find the standard deviation of Y.

Solution:

In a binomial distribution, if p is the probability of success, q is the probability of failure, and n is the number of trials, what is the value of the variance?

Solution:

Out of a pack of 52 cards, one is lost. From the remaining pack, two cards are drawn and found to be spades. What is the chance that the missing card is a spade?

Solution:

Which of the following is a Continuous Probability Distribution?

Solution:

Find the mean values of X and Y from the following regression equations: 10X - 25Y + 200 = 0 8X + 5Y = 48

Solution:

The normal rate of flu in animals is known to be 40%. Biologists invented a vaccine and injected 15 animals with it to check if the vaccine is working. Calculate the probability that all animals which took the vaccine are safe from the flu.

Solution:

A problem in mathematics is given to three students A, B and C. If the probability of A solving the problem is 1/2 and the probability of B not solving it is 1/4, and the overall probability of the problem being solved is 63/64, what is the probability of student C solving the problem?

Solution:

The probability that there is at least one question blocked (when a question is incorrect) on 'Abekus' created by an intern A is 0.2, and for B and C they are 0.25 and 0.4 respectively. A, B and C prepared 10, 16 and 20 questions respectively. Find the expected number of Active (correct) questions.

Solution:

Related Question Sets:

Related Topics:

Find the mean values of X and Y from the following regression equations:

10X - 25Y + 200 = 0

8X + 5Y = 48