Mark the correct alternative in the following:
Suppose a random variable X follows the binomial distribution with parameters n and p, where 0 < p < 1. If is independent of n and r, then p equals.

Question

Mark the correct alternative in the following: Suppose a random variable X follows the binomial distribution with parameters n and p, where 0 < p < 1. If is independent of n and r, then p equals.

Philoid · Accepted Answer

Given:

P=?

P(x=r)= ⁿC_r p^r q^n-r

=

P(x=n-r)= ⁿC_n-r p^n-r q^n-(n-r)

= ⁿC_r p^n-r q^r

=

Put values in equation, we have:

1-p=p

1=2p

P=1/2

Mark the correct alternative in the following:Suppose a random variable X follows the binomial distribution with parameters n and p, where 0 < p < 1. If is independent of n and r, then p equals.

Mark the correct alternative in the following:
Suppose a random variable X follows the binomial distribution with parameters n and p, where 0 < p < 1. If is independent of n and r, then p equals.