Question

Let X be a random variable having binomial distribution with parameters n(> 1) and p(0 < p < 1). Then $E(\frac{1}{1+X})$ equals

• A. $\frac{1-(1-p)^{n+1}}{(n+1)p}$
• B. $\frac{1-p^{n+1}}{(n+1)(1-p)}$
• C. $\frac{(1-p)^{n+1}}{n(1-p)}$
• D. $\frac{1-p^{n}}{(n+1)p}$

Answer 1

Answer: (A)

$\frac{1-(1-p)^{n+1}}{(n+1)p}$

Answer 2

The correct option is (A) : $\frac{1-(1-p)^{n+1}}{(n+1)p}$.