Chapter 6.1, Problem 12E

(a)

To determine

To Calculate: the median of X

Answer to Problem 12E

Median = 20

Explanation of Solution

Given:

  ${\mu }_X=23.8$

Calculation:

Score	10	20	30	40	50
Probability	0.32	0.27	0.19	0.15	0.07
Cumulative Probability	0.32	0.59	0.78	0.93	1

If Cumulative Probability $\ge$ 0.50 for that distribution the Score will be median so from the table getting from the cumulative probability

Median = 20

(b)

To determine

To Compare: the mean and median and explain it

Answer to Problem 12E

Positively skewed or right skewed

Explanation of Solution

Mean ( ${\mu }_X$ ) > Median

Probability distribution is positively skewed or right skewed because mean is 23.8 and median are 20 that means mean is greater than the median