200+ Probability-and-statistics Questions

Probability-and-statistics Questions Set 5:

Quiz Mode

What is the probability of an impossible event?

Infinite

Data Insufficient

Solution:

If X and Y are random variables, then E(X+Y) is:

E(X) + E(Y)

E(X) - E(Y)

E(X) * E(Y)

E(Y) - E(X)

Solution:

Two unbiased coins are tossed. What is the probability of getting at most one head?

3/4

1/4

1/2

5/7

Solution:

If A is a subset of B, then what is the relationship between the probabilities of A and B?

P(A) ≥ P(B)

P(a) > P(b)

P(B) = P(A)

P(B) = P(B)

Solution:

If A and B are not mutually exclusive, then the probability of A union B, P(A∪B), is:

P(A) + P(B)

P(A)·P(B)

P(A) + P(B) + P(A∩B)

P(A) + P(B) - P(A∩B)

Solution:

The relationship between the mean, median, and mode is given by:

Mode = 3 Median - 2 Mean

Median = 3 Mode - 2 Mean

Mean = 3 Mode + 2 Mean

Median = 3 Mean + 2 Mode

Solution:

The probability that a bomb dropped from a plane will strike the target is 1/5. If 6 bombs are dropped, what is the probability that exactly 2 will strike the target?

0.245

0.356

0.589

0.024

Solution:

If the lifetime of a certain type of electrical bulb is exponentially distributed with a mean of 1000 hours, what is the probability that a bulb will last for 2000 hours given that it has already lasted for 1000 hours?

0.23254

0.32454

0.4789

0.14526

Solution:

If calls arrive at a telephone exchange such that the time of arrival of any call is independent of the time of arrival of earlier or future calls, the probability distribution function of the total number of calls in a fixed time interval will be

Poisson

Gaussian

Exponential

Gamma

Solution:

Which of the following statements about the relationship between two random events P and Q is true?

Independence of P and Q implies that probability (P∩Q) = 0

Probability (P ∪ Q ) ≥ Probability(P) + Probability(Q)

If P and Q are mutually exclusive, then they must be independent.

Probability (P ∩ Q) ≤ Probability (P)

Probability-and-statistics Questions Set 5:

What is the probability of an impossible event?

Solution:

If X and Y are random variables, then E(X+Y) is:

Solution:

Two unbiased coins are tossed. What is the probability of getting at most one head?

Solution:

If A is a subset of B, then what is the relationship between the probabilities of A and B?

Solution:

If A and B are not mutually exclusive, then the probability of A union B, P(A∪B), is:

Solution:

The relationship between the mean, median, and mode is given by:

Solution:

The probability that a bomb dropped from a plane will strike the target is 1/5. If 6 bombs are dropped, what is the probability that exactly 2 will strike the target?

Solution:

If the lifetime of a certain type of electrical bulb is exponentially distributed with a mean of 1000 hours, what is the probability that a bulb will last for 2000 hours given that it has already lasted for 1000 hours?

Solution:

If calls arrive at a telephone exchange such that the time of arrival of any call is independent of the time of arrival of earlier or future calls, the probability distribution function of the total number of calls in a fixed time interval will be

Solution:

Which of the following statements about the relationship between two random events P and Q is true?

Solution:

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