Chapter 13.5, Problem 19PPS

To determine

To determine probability for the given data.

Answer to Problem 19PPS

The probability that a student own a MP3 player if he or she also owns CD player is 0.65.

Explanation of Solution

Given information:

43% own a CD player

28% own a CD player and MP3 player.

Let P(CD) = 43% = 0.43

We have to find P(MP3|CD)

  $\text{P(CD and MP3)=28\%=0}\text{.28}$

We know that,

P(MP3|CD) $=\frac{\text{P(CD and MP3)}}{\text{P(CD)}}$

Now we put values we get,

  $\text{P(}\text{MP3}|\text{CD)=}\frac{0.28}{0.43}\approx 0.65$

Therefore the probability that a student own a MP3 player if he or she also owns CD player is 0.65.