Chapter 6.1, Problem 11E

(a)

To determine

To Calculate: the median of Y

Answer to Problem 11E

Median = $20

Explanation of Solution

Given:

  ${\mu }_y=19.35$

Calculation:

Money collected	0	5	10	15	20	25
Probability	0.02	0.05	0.08	0.16	0.27	0.42
Cumulative Probability	0.02	0.07	0.15	0.31	0.58	1

If Cumulative Probability $\ge$ 0.50 for that distribution the money collected will be median

Median = $20

(b)

To determine

To Compare: the mean and median and explain it

Answer to Problem 11E

Distribution is skewed to the left.

Explanation of Solution

Mean ( ${\mu }_y$ ) < Median

Probability distribution is negatively skewed or left skewed because mean is 19.35 and median is 20 that means median is greater than the mean.