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. $E(X)=(1-p)^{n}(1-p)^{n}$

Answer

Expert–verified

Hide Steps

Answer

So, the final answer is $\boxed{E(X)=n p}$.

Steps

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 $\boxed{E(X)=n p}$.

Answer

Popular Problems