Chapter 7.2, Problem 7.44E

(a)

To determine

To construct: the Venn diagram to represent this setting.

Explanation of Solution

Given:

Students primarily used Macintosh computers = 40%

Students were undergraduates = 67%

Graduates students = 23%

Using both = 42%

Graph:

Drawing the two overlapping ellipses which name one is PC and another is Graduate. In the intersection area write the percent of Graduates that primarily use PC. In the left side write the percent of non-Graduates that primarily use the PC and in the right side writes the percent of Graduates that primarily use the Macintosh. Outside the ellipses write the percent of non-Graduates that primarily use Macintosh.

(b)

To determine

To Explain: the event in symbolic form using the two events of interest that chosen in (a).

Answer to Problem 7.44E

  $P\left(P^c\cap G\right)$

Explanation of Solution

Suppose that P represent the PC user and $P^c$ is the Macintosh and suppose G represent Graduate AND is representing by $\cap$ .

  $P\left(P^c\cap G\right)$

(c)

To determine

To Calculate: the probability of the event described in (b).

Answer to Problem 7.44E

  $P\left(P^c\cap G\right)=44\%$

Explanation of Solution

Given:

The probability is given in the right half of the Venn diagram

  $P\left(P^c\cap G\right)=44\%$

(d)

To determine

To construct: the two-way table for this setting if it possible and explain if not possible.

Answer to Problem 7.44E

Yes, Possible

Explanation of Solution

	PC	Macintosh	Total
Graduates	0.23	0.44	0.67
Not Graduates	0.17	0.16	0.33
Total	0.4	0.6	1