Chapter 6.3, Problem 116E

To determine

To find: The mean and standard deviation

Answer to Problem 116E

The mean and standard deviation are 4 and 1.9.

Explanation of Solution

Given:

Probability of success (p) = 0.1

Number of trials (n) = 4

Calculation:

The mean and standard deviation can be calculated as:

  $\begin{array}{c}\mu =n\times p\\ =40\left(0.1\right)\\ =4\end{array}$

  $\begin{array}{c}\sigma =\sqrt{n\times p\times \left(1-p\right)}\\ =\sqrt{40\left(0.1\right)\left(1-0.1\right)}\\ =1.9\end{array}$

The mean and standard deviation are 4 and 1.9 respectively.

Hence, the correct option is (d).