Chapter 12, Problem 14PT

a)

To determine

To find :P (Michael improved given he attended the session).

Answer to Problem 14PT

  $0.75$

Explanation of Solution

Given Information :

A table is given showing number of students who attend or not attended the review session and detail about improvement.

Formula Used:

  $P(A|B)=\frac{P(A\cap B)}{P(B)}$

Calculation :

Let A : Attended the session and I : Shows improvement.

Total number of students are $\text{25}$.

  $P(I/A)=\frac{P(I\cap A)}{P(A)}=\frac{12}{16}=0.75$

b)

To determine

To find :P (Melissa did not attend given the did not improve).

Answer to Problem 14PT

  $\frac{2}{3}$

Explanation of Solution

Given Information :

A table is given showing number of students who attend or not attended the review session and detail about improvement.

Formula Used:

  $P(A)(B)=\frac{P(A\cap B)}{P(B)}$

Calculation :

Let A : Attended the session and I : Shows improvement.

Total number of students are $\text{25}$.

  $P(\overline{A}/\overline{I})=\frac{P(\overline{A}\cap \overline{I})}{P(\overline{I})}=\frac{6}{9}=\frac{2}{3}$