Chapter 14, Problem 28E

a)

To determine

To find probability that both think fathers are better today.

Answer to Problem 28E

The probability that both think fathers are better today = 0.041

Explanation of Solution

Given:

  

Calculation:

The probability that both think fathers are better today

  $=\left(\frac{424}{2020}\right)\times \left(\frac{424}{2020}\right)=0.041$

b)

To determine

To find probability that neither thinks fathers are better today.

Answer to Problem 28E

The probability that neither thinks fathers are better today = 0.7901

Explanation of Solution

Given:

  

Calculation:

The probability that neither thinks fathers are better today

  $\begin{array}{l}=\left(\frac{1-424}{2020}\right)\times \left(\frac{1-424}{2020}\right)\\ =\left(\frac{1596}{2020}\right)\times \left(\frac{1596}{2020}\right)\\ =0.7901\end{array}$

c)

To determine

To find probability that one person thinks fathers are better today and the other does not.

Answer to Problem 28E

The probability that one person thinks fathers are better today and the other does not=0.33

Explanation of Solution

Given:

  

Calculation:

The probability that one person thinks fathers are better today and the other does not.

  $\begin{array}{l}=\left(\frac{424}{2020}\right)\times \left(\frac{1596}{2020}\right)+\left(\frac{1596}{2020}\right)\left(\frac{424}{2020}\right)\\ =0.33\end{array}$

d)

To determine

To explain the assumptions which need to compute probabilities.

Answer to Problem 28E

Independent responses.

Explanation of Solution

Given:

  

Calculation:

There should be independent responses to calculate the probabilities.

e)

To determine

To explain whether the assumption is reasonable.

Answer to Problem 28E

Yes.

Explanation of Solution

Given:

  

Calculation:

Yes, it is reasonable to assume that responses are independent because what one father thinks does not affect what the next father thinks.