200+ Probability-and-statistics Questions

Probability-and-statistics Questions Set 9:

Quiz Mode

If A and B are mutually exclusive, then P(A ∪ B) is:

P(A) + P(B)

P(A) + P(B) - P(A ∩ B)

P(A ∩ B)

P(A) = P(B)

Solution:

Given P(A) = 1/2 and P(B) = 1, the values of P(A|B) and P(B|A) respectively are:

1/2, 1/4

1/4, 1/2

1, 1/2

1/2, 1

Solution:

The area under the normal curve from z = 0 to z = 1, i.e., from x = Mean to Mean+S.D., is

Infinite

0.6827

0.3413

Solution:

A fair coin is tossed until the first head appears. The probability that the number of required tosses is odd is:

1/3

1/2

2/3

3/4

Solution:

Let A and B be two events such that P(A) = 1/5, while P(A or B) = 1/2. Let P(B) = P. For what value of P are A and B independent?

7/8

9/8

3/8

5/8

Solution:

What are the mean and variance of the Standard Normal Distribution?

Mean = 0, Variance = 0

Mean = 0, Variance = 1

Mean = 1, Variance = 0

Mean = 1, Variance = 1

Solution:

The coefficient of correlation between two variables X and Y is 0.8. Their covariance is 16. The variance of X is 25. Find the standard deviation of Y.

1.56

1.25

Solution:

The probability of any ship of a company being destroyed on a certain voyage is 0.02. The company owns 6 ships for the voyage. What is the probability of losing 1 ship?

0.10847

0.99983

0.56232

0.76542

Solution:

If the coefficient of correlation is 0, what does it imply?

The variables are inversely proportional

The variables are perfectly correlated

There is no linear relation between the variables

The variables are directly proportional to each other

Solution:

An intern is selected for an interview for 3 posts. For the first post, there are 4 candidates, for the second, there are 5 candidates, and for the third, there are only 3 candidates. What are the chances of the intern getting at least one post?

2/5

2/3

3/4

3/5

Probability-and-statistics Questions Set 9:

If A and B are mutually exclusive, then P(A ∪ B) is:

Solution:

Given P(A) = 1/2 and P(B) = 1, the values of P(A|B) and P(B|A) respectively are:

Solution:

The area under the normal curve from z = 0 to z = 1, i.e., from x = Mean to Mean+S.D., is

Solution:

A fair coin is tossed until the first head appears. The probability that the number of required tosses is odd is:

Solution:

Let A and B be two events such that P(A) = 1/5, while P(A or B) = 1/2. Let P(B) = P. For what value of P are A and B independent?

Solution:

What are the mean and variance of the Standard Normal Distribution?

Solution:

The coefficient of correlation between two variables X and Y is 0.8. Their covariance is 16. The variance of X is 25. Find the standard deviation of Y.

Solution:

The probability of any ship of a company being destroyed on a certain voyage is 0.02. The company owns 6 ships for the voyage. What is the probability of losing 1 ship?

Solution:

If the coefficient of correlation is 0, what does it imply?

Solution:

An intern is selected for an interview for 3 posts. For the first post, there are 4 candidates, for the second, there are 5 candidates, and for the third, there are only 3 candidates. What are the chances of the intern getting at least one post?

Solution:

Related Question Sets:

Related Topics: