Chapter 5, Problem 1PP

a)

To determine

To explain whether the five possible answers are mutually exclusive or not.

Answer to Problem 1PP

Yes, all five answers are mutually exclusive.

Explanation of Solution

Given:

Very repulsive − 30%

Somewhat repulsive − 20%

Indifferent − 43%

Somewhat Delicious − 6%

Especially delicious − 1%

Yes, all five answers are mutually exclusive because a person can choose only one option at a time, no two option can be selected simultaneously. Therefore, yes, all five answers are mutually exclusive.

b)

To determine

To calculate the probability that women say that sprouts are either very repulsive or somewhat repulsive.

Answer to Problem 1PP

0.50

Explanation of Solution

  $\begin{array}{c}\text{P}\left(\text{Very repulsive or Somewhat repulsive}\right)\\ =P\left(\text{Very repulsive}\right)+P\left(\text{Somewhat repulsive}\right)-P\left(\text{Very repulsive or Somewhat repulsive}\right)\\ =0.30+0.20-0\\ =0.50\end{array}$

C)

To determine

To calculate the probability that women say that sprouts are not especially delicious.

Answer to Problem 1PP

0.99

Explanation of Solution

  $\begin{array}{c}\text{P}\left(\text{Not Especially delicious}\right)\text{ = 1 - P}\left(\text{Especially Delicious}\right)\\ =1-0.01\\ =0.99\end{array}$