Chapter 10.3, Problem 8E

To determine

To calculate:

The values ofthe joint and marginal relative frequencies.

Answer to Problem 8E

The corresponding frequency table for values of the joint and marginal relative frequenciescan be shown as:

	Male	Female	Total
Expert	$0.151$	$0.015$	$0.166$
Average	$0.0671$	$0.059$	$0.73$
Novice	$0.098$	$0.006$	$0.104$
Total	$0.02$	$0.08$	$1$

Explanation of Solution

Given information:

Analysis of a two-way table with the experiment values given for females $377$ and $33$ males.

Calculation:

The random experiment considers the study of $377$ females and $33$ males respectively. Theexperience was taken into consideration for a particular event and then found out the frequencies of each of the parts shown in the following table.

The data given is used to get the relative frequencies and is interpreted in two-way table the relative frequency table shall be as shown as below:

	Male	Female	Total
Expert	$62$	$6$	$68$
Average	$275$	$24$	$299$
Novice	$40$	$3$	$43$
Total	$377$	$33$	$410$

Now, the relative frequency table can be shown as:

	Male	Female	Total
Expert	$0.151$	$0.015$	$0.166$
Average	$0.0671$	$0.059$	$0.73$
Novice	$0.098$	$0.006$	$0.104$
Total	$0.02$	$0.08$	$1$

Thus, the above relative frequency shows the maximum level of experience is average for males and the same is in the case of females.