Concept explainers
(a)
To draw: A tree diagram for the given data
(a)
Explanation of Solution
Given:
Percentage of athletes taking steroids
Percentage of test to be accurate when the steroids have been taken
Percentage of test to be accurate when the steroids have not been taken
Formula used:
Calculation:
Let S denote the
NS denote the event of a steroid not taken
P denote the event of a positive result
N denote the event of a negative result.
From the data given:
Graph:
(b)
To find:
(b)
Answer to Problem 7CRE
The probability is 0.122.
Explanation of Solution
Calculation:
Here,
Finding the probabilities
Adding up the probabilities to get the require the probability
Thus, the required probability is 0.122.
(c)
To find: The probability that an athlete actually used steroids given a test is positive.
(c)
Answer to Problem 7CRE
The probability is 0.7787.
Explanation of Solution
Calculation:
From the sub part b
In this case,
Using the above probabilities
Thus, the required probability is 0.7787.
Chapter 5 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
Introductory Statistics
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