Assume the random variable X has a binomial distribution wit

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability. given the sample size. Round your answer to 3 decimal places. P(X=7),n= 16,p= 0.3 PROBABILITY ) Answer: T3.12

Solution

n=16 , p=0.3

P(X=k) = ⁿC_k (p)^k(1-p)^{n - k}

P(X=7) = ¹⁶C₇ (0.3)⁷(1-0.3)^16-7

= (11440)(8.82533*10^-6)

= 0.10096

= 0.100