Find the probability of exactly 3 successes and six trials of a binomial experiment in which the probability of success is 50%. Round to the nearest 10th of a percent

Question

Key word ( exactly) ....... I need help I am stuck please !

Answer 1

You can use the binomial distribution's probability mass function.

Let X be the number of successes. For k successes in n trials with a fixed probability of success p per trial, we have:

Pr(X=k) = C(n,k) * p^k * (1-p)^{n-k}, where C(n,k) is the binomial coefficient n!/(k!(n-k)!).