MCQs of Probability

Showing 51 to 60 out of 73 Questions

51.

The mean and variance of a random variable X having a binomial distribution are 4 and 2 respectively, then P (X = 1) = _____ .

52.

It is given that the events A and B are such that

P (A) = \frac{1}{4}

P (A B) = \frac{1}{2}

P (B A) = \frac{2}{3}

, then P (B) = _____ .

53.

If two events A and B are such that P (A') = 0.3, P (B) = 0.5 and

P (A \cap B) = 0.3

then

P (B A \cup B') =

_____ .

54.

If parameters of a binomial distribution are n = 5 and p = 0.30, then the mean is _____ and variance is _____ .

55.

Let A and B, be events such that P (A) = 0.5, P ( A U B) = 0.65 and P (B) = p. If A and B are independent events, then value of p = _____ .

56.

Three balanced coins are tossed together once. If head appears on the first coin, the probability of getting heads on remaining coin is _____ .

57.

A die is tossed 6 times. Getting a composite number is a success. The variance of binomial random variable distribution is _____ .

58.

If A and B are events such that P (A) > 0 and

P (B) \neq 1

, then

P (A' B') =

_____ .

59.

The probability that a student is not a swimmer is

\frac{2}{3}

. The probability that out of 4 students exactly 3 are swimmers is _____ .

60.

If events A and B are such that

P (A) = \frac{1}{6}, P (A | B) = \frac{1}{9}, P (B | A) = \frac{2}{5}, then P (B)

= _____ .

Showing 51 to 60 out of 73 Questions