200+ Probability-and-statistics Questions

Probability-and-statistics Questions Set 10:

Quiz Mode

In a binomial distribution, the kurtosis is given by:

(1-2p)/√(npq)

1 - 6pq

3 + ((1 - 6pq)/npq)

(1 - 6pq)/npq

Solution:

If X is a random variable and a is a constant, then the variance of a.X, (V(a.X)), is:

a.V(X)

(a^2)V(X)

V(X)

Solution:

In a negatively skewed distribution:

mode > median > mean

mean > median > mode

mean > mode > median

mean = mode = median

Solution:

Find the mean (μ) of the given probability distribution:

Xi | 0 1 2 3 4 5

P(Xi) | 5k 2k k 3k k k

0.59

1.69

1.85

0.75

Solution:

An experiment that can give different outcomes, even when repeated under the same conditions, is called a:

Negative Experiment

Mixed Experiment

Fixed Experiment

Random Experiment

Solution:

The probability that a supermarket sells stale vegetables is 3/25. If they sell 50 vegetables to customers, what is the probability that exactly 12 of the sold vegetables are stale?

0.0070

0.0084

0.0025

0.0045

Solution:

An examination consists of 2 papers. The probability of failing in paper 1 is 0.2 and that in paper 2 is 0.3. Given that a student has failed in paper 2, what is the probability of the student failing in paper 1?

0.12

0.18

0.06

0.03

Solution:

If A, B, C are mutually exclusive events, then the value of P(A ∪ B ∪ C) is

P(A) + P(B) + P(C)

P(A) + P(B) + P(C) - P(A ∩ B) - P(B ∩ C) - P(C ∩ A)

P(A) + P(B) + P(C) - P(A ∩ B) - P(B ∩ C) - P(C ∩ A) + P(A ∩ B ∩ C)

P(A) × P(B) × P(C)

Solution:

The length of telephone conversations in a booth has an exponential distribution and is found, on average, to be 5 minutes. What is the probability that a random call made from this booth lasts between 5 and 10 minutes?

0.325

0.6321

0.2325

0.1456

Solution:

If A, B, C are not mutually exclusive, then P(A ∪ B ∪ C) is

P(A) + P(B) + P(C)

P(A) + P(B) + P(C) - P(A ∩ B ∩ C)

P(A) + P(B) + P(C) + P(A ∩ B) + P(B ∩ C) + P(C ∩ A) - P(A ∩ B ∩ C)

P(A) + P(B) + P(C) - P(A ∩ B) - P(B ∩ C) - P(C ∩ A) + P(A ∩ B ∩ C)

Probability-and-statistics Questions Set 10:

In a binomial distribution, the kurtosis is given by:

Solution:

If X is a random variable and a is a constant, then the variance of a.X, (V(a.X)), is:

Solution:

In a negatively skewed distribution:

Solution:

Find the mean (μ) of the given probability distribution:

Xi | 0 1 2 3 4 5

P(Xi) | 5k 2k k 3k k k

Solution:

An experiment that can give different outcomes, even when repeated under the same conditions, is called a:

Solution:

The probability that a supermarket sells stale vegetables is 3/25. If they sell 50 vegetables to customers, what is the probability that exactly 12 of the sold vegetables are stale?

Solution:

An examination consists of 2 papers. The probability of failing in paper 1 is 0.2 and that in paper 2 is 0.3. Given that a student has failed in paper 2, what is the probability of the student failing in paper 1?

Solution:

If A, B, C are mutually exclusive events, then the value of P(A ∪ B ∪ C) is

Solution:

The length of telephone conversations in a booth has an exponential distribution and is found, on average, to be 5 minutes. What is the probability that a random call made from this booth lasts between 5 and 10 minutes?

Solution:

If A, B, C are not mutually exclusive, then P(A ∪ B ∪ C) is

Solution:

Related Question Sets:

Related Topics:

Probability-and-statistics Questions Set 10:

In a binomial distribution, the kurtosis is given by:

Solution:

If X is a random variable and a is a constant, then the variance of a.X, (V(a.X)), is:

Solution:

In a negatively skewed distribution:

Solution:

Find the mean (μ) of the given probability distribution: Xi | 0 1 2 3 4 5 P(Xi) | 5k 2k k 3k k k

Solution:

An experiment that can give different outcomes, even when repeated under the same conditions, is called a:

Solution:

The probability that a supermarket sells stale vegetables is 3/25. If they sell 50 vegetables to customers, what is the probability that exactly 12 of the sold vegetables are stale?

Solution:

An examination consists of 2 papers. The probability of failing in paper 1 is 0.2 and that in paper 2 is 0.3. Given that a student has failed in paper 2, what is the probability of the student failing in paper 1?

Solution:

If A, B, C are mutually exclusive events, then the value of P(A ∪ B ∪ C) is

Solution:

The length of telephone conversations in a booth has an exponential distribution and is found, on average, to be 5 minutes. What is the probability that a random call made from this booth lasts between 5 and 10 minutes?

Solution:

If A, B, C are not mutually exclusive, then P(A ∪ B ∪ C) is

Solution:

Related Question Sets:

Related Topics:

Find the mean (μ) of the given probability distribution:

Xi | 0 1 2 3 4 5

P(Xi) | 5k 2k k 3k k k