Probability Test

Result

Probability Test - 19

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Weekly Quiz Competition

Question 1
4 / -1

If X denotes the sum of the numbers obtained when two fair dice are rolled, then the variance and standard deviation of X are

A

B

C

D

Solution
Question 2
4 / -1

If the mean and variance of a Binomial variate X are 8 and 4 respectively, then P(X < 3) equals

A
265/2¹⁵

B
137/2¹⁴

C
137/¹⁶

D
265/2¹⁶
Question 3
4 / -1

A
16/3

B
4/3

C
5/3

D
10/3

Solution
Question 4
4 / -1

If the mean and variance of a random variable X having a Binomial distribution are 4 and 2 respectively, then find the value of P(X =1).

A
1/4

B
1/16

C
1/8

D
1/32
Question 5
4 / -1

A multiple choice examination has 5 questions. Each question has three alternative answers of which exactly one is correct. The probability that a student will get 4 or more correct answers just by guessing is

A
17/3⁵

B
13/3⁵

C
11/3⁵

D
10/3⁵
Question 6
4 / -1

Consider 5 independent Bernoulli's trials each with probability of success p. If the probability of atleast one failure is greater than or equal to 31/2, the p lies in the interval

A

B

C

D
Question 7
4 / -1

A
0.77

B
0.87

C
0.35

D
0.50
Question 8
4 / -1

Two dice are thrown n times in succession. The probability of obtaining a double six atleast once is

A

B

C

D
None of these
Question 9
4 / -1

If X is a Binomial variate with the range {0, 1, 2, 3, 4, 5, 6} and P(X = 2) = 4P(X = 4), then the parameter p of X is

A
1/3

B
1/2

C
2/3

D
3/4
Question 10
4 / -1

If a fair coin is tossed 20 times and we get head n times, then probability that n is odd, is

A
1/2

B
1/6

C
5/8

D
7/8