Probability Question 132

Question: A die is tossed 5 times. Getting an odd number is considered a success. Then the variance of distribution of success is

[AIEEE 2002]

Options:

A) $ \frac{8}{3} $

B) $ \frac{3}{8} $

C) $ \frac{4}{5} $

D) $ \frac{5}{4} $

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Answer:

Correct Answer: D

Solution:

Probability of getting odd $ p=\frac{3}{6}=\frac{1}{2}. $

Probability of getting others $ q=\frac{3}{6}=\frac{1}{2} $

Variance $ =npq $

$ =5.\frac{1}{2}.\frac{1}{2}=\frac{5}{4}. $