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:
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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}. $