Question

A dice is tossed $5$ times. Getting an odd number is considered a success. Then the variance of distribution of success is

• A. $\frac{8}{3}$
• B. $\frac{3}{8}$
• C. $\frac{4}{5}$
• D. $\frac{5}{4}$

Answer 1

The correct option is A $\frac{8}{3}$

$n=5$

possible outcomes when a dice is tossed once$=1,2,3,4,5,6$

Getting an odd number is considered as success,$p=\frac{3}{6}$

$=\frac{1}{2}$

Getting even is considered as failure,$q=1-\frac{1}{2}$

$=\frac{1}{2}$

Variance$=npq$

$=5\times \frac{1}{2}\times \frac{1}{2}$

$=\frac{5}{4}$