Chapter 6.1, Problem 10E

(a)

To determine

To Explain: the shape of the histogram

Answer to Problem 10E

Skewed to the right

Explanation of Solution

The distribution is skewed to the right, because the tail of smaller bar is to the right in the histogram and highest bar in the histogram is to the left. There is only one peak so unimodal. Most of working out is 0.

(b)

To determine

To Calculate: the expected value of Y.

Answer to Problem 10E

  $E\left(Y\right)=1.03$

Explanation of Solution

Given:

Days (y)	0	1	2	3	4	5	6	7
Probability	0.68	0.05	0.07	0.08	0.05	0.04	0.01	0.02

Formula used:

  $E\left(Y\right)={\displaystyle \sum yP(y)}$

Calculation:

y	$\text{P}\left(y\right)$	$\text{yP}\left(y\right)$
0	0.68	0
1	0.05	0.05
2	0.07	0.14
3	0.08	0.24
4	0.05	0.2
5	0.04	0.2
6	0.01	0.06
7	0.02	0.14
		1.03

  $\begin{array}{c}E\left(Y\right)={\displaystyle \sum yP(y)}\\ =1.03\end{array}$