Chapter 7.2, Problem 7.43E

(a)

To determine

To construct: the Venn diagram to represent this setting.

Answer to Problem 7.43E

42%

Explanation of Solution

Given:

College students have posted a profile on Facebook =85%

Using MySpace regularly = 54%

Using both = 42%

Graph:

Drawing the two overlapping ellipses which name one is Facebook and another is MySpace. In the intersection area write the percent that use both. In the left side write the percent that use only Facebook and in the right side writes the percent that use only MySpace. Outside the ellipses write the percent that use neither.

(b)

To determine

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

Answer to Problem 7.43E

  $P\left(F^c\cup M\right)$

Explanation of Solution

Suppose that F represent the Facebook user and $F^c$ is the event not using the Facebook and suppose M represent MySpace OR is representing by $\cup$ .

  $P\left(F^c\cup M\right)$

(c)

To determine

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

Answer to Problem 7.43E

  $P\left(F^c\cup M\right)=12\%$

Explanation of Solution

Given:

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

  $P\left(F^c\cup M\right)=12\%$

(d)

To determine

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

Answer to Problem 7.43E

Yes, Possible

Explanation of Solution

	F	Not F	Total
M	0.42	0.12	0.54
Not M	0.43	0.03	0.46
Total	0.85	0.15	1