#### Question

Assume a binomial probability distribution with n = 50 and π = .25. Compute the following: a. The mean and standard deviation of the random variable. b. The probability that X is 15 or more. c. The probability that X is 10 or less.

#### Solution

Verified#### Step 1

1 of 4The binomial distribution has $n=50$ and $\pi=0.25$.

$\textbf{a. Mean of the distribution $\mu$}$

$\begin{align*} \mu&=n\pi\\ &=50 \times 0.25\\ &=12.5\\ \end{align*}$

$\textbf{ \ Standard deviation of the distribution $\sigma$}$

$\begin{align*} \sigma&=\sqrt{n\pi(1-\pi)}\\ &=\sqrt{50\times 0.25 \times (1-0.25)}\\ &=\sqrt{9.375}\\ &=3.062\\ \end{align*}$

## Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

#### Recommended textbook solutions

#### Statistical Techniques in Business and Economics

15th EditionDouglas A. Lind, Samuel A. Wathen, William G. Marchal1,236 solutions

#### Statistical Techniques in Business and Economics

16th EditionDouglas A. Lind, Samuel A. Wathen, William G. Marchal1,209 solutions

#### Statistical Techniques in Business and Economics

17th EditionDouglas A. Lind, Samuel A. Wathen, William G. Marchal1,142 solutions

#### Statistical Techniques in Business and Economics

18th EditionDouglas Lind, Samuel Wathen, William Marchal995 solutions