Chapter 5.2, Problem 56E

a)

To determine

To make a two-way table for this chance process.

Explanation of Solution

Given:

Proportion of MAC = 42%

Proportion of Undergraduate = 67%

Proportion of Graduates and PC= 23%

There are 10,000 students in the census. Therefore, two-way table becomes,

	MAC	PC	Total
Undergraduate	3000	3700	6700
Graduate	1000	2300	3300
Total	4000	6000	10,000

b)

To determine

To construct a Venn diagram.

Explanation of Solution

Given:

	MAC	PC	Total
Undergraduate	3000	3700	6700
Graduate	1000	2300	3300
Total	4000	6000	10,000

The Venn diagram,

  

c)

To determine

To write event in symbolic form.

Answer to Problem 56E

Event is $P(MAC\cup Graduate)$

Explanation of Solution

Given:

  

Probability represents that college students using MACs and being a graduate. This can be written in symbolic form as,

  $P(MAC\cup Graduate)$

d)

To determine

To find $P(MAC\cup Graduate)$

Answer to Problem 56E

  $P(MAC\cup Graduate)$ =0.1

Explanation of Solution

Given:

  

Formula:

  $Probability=\frac{Numberoffavorableoutcomes}{Totalpossibleoutcomes}$

Total possible outcomes = 20,000,000

Therefore,

  $P(MAC\cup Graduate)=\frac{1000}{10000}=0.1$