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8.3 Exit Ticket - Normal Distributions

Last updated 20 days ago

3 Nsɛmmisa

Applicants for a job had to complete a mathematics test. The time they took to complete the test is normally distributed with a mean of 53 minutes and a standard deviation of 16.3. One of the applicants is chosen at random.

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1.

Find the probability that this applicant took at least 40 minutes to complete the test.

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2

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2.

For 11% of the applicants it took longer than k minutes to complete the test. Find the value of k.

2

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3.

There were 400 applicants for the job. Estimate the number of applicants who completed the test in less than 25 minutes.