Question

Let $P\left(x\right)=^{10}C_{x} \left(\frac{1}{2}\right)^{10} , x=0, 1, 2, \ldots,10$ be the probability mass function of a binomial distribution $X$ . Then the mean of $X$ is

• A. $\frac{3}{2}$
• B. $5$
• C. $4$
• D. $3$

Answer 1

Answer: (B)

$5$

Answer 2

In the given binomial distribution, $n = 10$,
$p = \frac{1}{2}$
$\therefore$ Mean $= np = 10 \times \frac{1}{2} =5$