Question

A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment. N=10​, p=0.75​, x=8

P(8)=

Answer 1

For binomial distribution

P(X) = ⁿC_x p^x (1-p)^n-x

So,

P(8) = ¹⁰C₈ 0.75⁸ 0.25²

= 0.2816