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Concept explainers
a.
To compute: The probability that the proportion of travelers who get a red light less than 20.
a.
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Answer to Problem 5CRE
The probability is 0.0145.
Explanation of Solution
Given:
Probability of success ( p ) = 0.30
Number of
Number of trials ( n ) = 100
Calculation:
If X is a random variable defined as the number of people get red light.
Since, np (mean) and np (1- p ) (variance) are greater than 5. Therefore, X will follow Normal approximation.
The probability that the proportion of travelers who get a red light less than 20, can be calculated as:
Thus, the required probability is 0.0145.
b.
To explain: If the researcher should believe on the agent’s claim or not.
b.
![Check Mark](/static/check-mark.png)
Explanation of Solution
From the above part, the probability is 0.0146. Since, the probability is low thus it appears to be that the claim is false, Thus, the researcher does not believe that the customs agent claim.
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The Practice of Statistics for AP - 4th Edition
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