Problem
HW - 6.2 Question 9, 6.2.5 HW Score: $66.67 \%, 8$ of 12 points Polnts: 0 of 1 What is the formula for the expected number of successes in a binomial experiment with $n$ trials and probability of success $p$ ? Choose the correct forumia below. A. $E(X)=n p$ B. $E(X)=\sqrt{n p(1-p)}$ C. $E(X)=p^{n}$ D. $E(X)=(1-p)^{n}(1-p)^{n}$
Solution
Step 1 ：The problem is asking for the formula for the expected number of successes in a binomial experiment with \(n\) trials and probability of success \(p\).
Step 2 ：From the given options, the correct formula for the expected number of successes in a binomial experiment is \(E(X)=n p\).
Step 3 ：So, the final answer is \(\boxed{E(X)=n p}\).
