Concept explainers
Tocalculate:The probability that at least 15 in the sample are among the group.
Answer to Problem 34E
The required probability is 0.9251.
Explanation of Solution
Given information:
Total number of athletes = 316
Number of SRS = 550
Formula used:
The mean of the sampling distribution of
The standard deviation of the sampling distribution of
Consider that number of athletes which have been told by coaches to neglect their studies on at least one occasion and the corresponding proportion be
So, we can write
Now, find the product of n and p as per the requirement.
Also, find the product of nand
Here, the sampling distribution of
This means, the sampling distribution of
Substitute 0.40 for p in the formula of sampling distribution
Substitute 0.40 for
Write the probability at least
Hence, the required probability is 0.9251.
Chapter 7 Solutions
The Practice of Statistics for AP - 4th Edition
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