Probability  MCQs

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) = _____ .
(a) 116
(b) 18
(c) 14
(d) 132
Answer:

Option (d)

52.
It is given that the events A and B are such that P (A) =14, P (AB) =12, P (B A) =23, then P (B) = _____ .
(a) 12
(b) 16
(c) 13
(d) 23
Answer:

Option (c)

53.
If two events A and B are such that P (A') = 0.3, P (B) = 0.5 and P (A  B) =0.3 then P (BA B') = _____ .
(a) 0.375
(b) 0.32
(c) 0.31
(d) 0.28
Answer:

Option (a)

54.
If parameters of a binomial distribution are n = 5 and p = 0.30, then the mean is _____ and variance is _____ .
(a) 1.5, 1.5
(b) 1.5, 1.05
(c) 1.5, 1.40
(d) 1.5, 1.15
Answer:

Option (b)

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 = _____ .
(a) 12
(b) 310
(c) 3100
(d) 120
Answer:

Option (b)

56.
Three balanced coins are tossed together once. If head appears on the first coin, the probability of getting heads on remaining coin is _____ .
(a) 14
(b) 12
(c) 18
(d) 1
Answer:

Option (a)

57.
A die is tossed 6 times. Getting a composite number is a success. The variance of binomial random variable distribution is _____ .
(a) 2
(b) 43
(c) 23
(d) 54
Answer:

Option (b)

58.
If A and B are events such that P (A) > 0 and P (B) 1, then P (A'B') =_____ .
(a) 1-P (AB')
(b) 1-P (A'B)
(c) P (A')P (B')
(d) 1 - P (A  B)P (B')
Answer:

Option (a)

59.
The probability that a student is not a swimmer is 23. The probability that out of 4 students exactly 3 are swimmers is _____ .
(a) 881
(b) 4 (23)3  (13)
(c) C3 4(13)4
(d) (23)4
Answer:

Option (a)

60.
If events A and B are such that PA=16, PA|B=19, PB|A=25, then PB = _____ .
(a) 15
(b) 16
(c) 415
(d) 35
Answer:

Option (d)

Showing 51 to 60 out of 73 Questions