Statistics And Probability Question 92

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}. $