
Concept explainers
To calculate:
The probability of new member that he will take class.

Answer to Problem 2CYU
The probability that a gym member signs up for the tae kwon do class is 0.40% , yoga class is 35% , swim class is 10% , kick boxing class is 15% .
Explanation of Solution
Given information:
Class | Frequency |
Tae kwon do | 45% |
Yoga | 30% |
swimming | 15% |
Kick-boxing | 10% |
Calculation:
The following table describes the four classes at a gym and the percentage of gym members that sign up for each class.
Class | Frequency |
Tae kwon do | 45% |
Yoga | 30% |
swimming | 15% |
Kick-boxing | 10% |
To simulate the gym classes and estimate the probability that a new gym member will signup for each class, that make a spinner with four segments that represent each percentage of gym members for each corresponding class.
Spin the spinner 20 times and record the frequency of observed outcomes. The frequency of outcomes will vary between sets of 20 spins. One such set of the spines can be recorded in a frequency table as the follows:
Outcome | Frequency |
Tae kwon do | 8 |
Yoga | 7 |
swimming | 2 |
Kick-boxing | 3 |
Total | 20 |
Now, divide each frequency in the frequency table to get the probabilities for each outcome.
Outcome | Frequency | Probability |
Tae kwon do | 8 | 820=0.40 |
Yoga | 7 | 720=0.35 |
swimming | 2 | 220=0.10 |
Kick-boxing | 3 | 320=0.15 |
Total | 20 | 2020=1 |
Make a probability histogram by charting probability on the vertical axis and outcomes on the horizontal axis.
Hence, therefore the probability that a gym member signs up for the tae kwon do class is 0.40% , yoga class is 35% , swim class is 10% , kick boxing class is 15% .
Chapter 13 Solutions
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