Chapter 5.2, Problem 53E

a)

To determine

To construct a Venn diagram.

Explanation of Solution

Given:

The model is the chance process using event B:Eats breakfast regularly and M: is male.

Venn diagram becomes,

  

b)

To determine

To find $P(B\cup M)$

Answer to Problem 53E

  $P(B\cup M)$ =0.7227

Explanation of Solution

Given:

	Male	Female	Total
Eats breakfast regularly	190	110	300
Doesn't Eats breakfast regularly	130	165	295
Total	320	275	595

Formula:

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

Total possible outcomes = 595

Therefore,

  $P(B\cup M)=\frac{110+190+130}{595}=0.7227$

c)

To determine

To find $P(B^c\cap M^c)$

Answer to Problem 53E

  $P(B^c\cap M^c)$ = 0.2773

Explanation of Solution

Given:

	Male	Female	Total
Eats breakfast regularly	190	110	300
Doesn't Eats breakfast regularly	130	165	295
Total	320	275	595

And $P(B\cup M)$ =0.7227

Formula:

P(A^c)=1-P(A)

Total possible outcomes = 595

Therefore,

  $\begin{array}{l}P(B^c\cap M^c)=1-P(B\cup M)\\ P(B^c\cap M^c)=1-0.7227=0.2773\end{array}$