n a certain city of several million people, 7.8% of the adults are unemployed. If a random sample of 250 adults in this city is selected, approximate the probability that fewer than 16 in the sample are unemployed. Use the normal approximation to the binomial with a correction for continuity.
In a certain city of several million people, 7.8% of the adults are unemployed. If a random sample of 250 adults in this city is selected, approximate the probability that fewer than 16 in the sample are unemployed. Use the normal approximation to the binomial with a correction for continuity.
Round your answer to at least three decimal places. Do not round any intermediate steps.
Given Information:
7.8% of the adults are unemployed. i.e..,
Sample size
To find the probability that fewer than 16 in the sample are unemployed.
Let X denote the number of adults who are unemployed and X follows Binomial distribution with parameters and .
Mean
Standard deviation is calculated using the formula:
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