
Concept explainers
The probability that at least 60 of the polled students did not want to go to a theme park.

Answer to Problem 42SGR
The probability is1.7%.
Explanation of Solution
Given:
The poll of the Ryan’s school determined that 76% of the students wanted to go to theme park.
Ryan surveyed 180 random students from the school.
Considering x as the random variable shows the number of the students did not want to go to a theme park.
Here x has binomial distribution with the parameters:
Using the
Now, evaluating the mean of the normal approximation:
Evaluating the standard deviation of the normal approximation as shown below:
The z- score for x=60:
Therefore, the probability that at least 60 of the students did want to go to theme park:
Hence, the probability that at least 60 of student did not want to go to theme park is 1.7%.
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