Question

Continuous Distributions – Uniform & Normal

1.            The completion times for the government exam used for entrance into Officer Candidate School is uniformly distributed between 85 minutes and 145 minutes.

                A.            What is the probability someone finishes the exam between 95 and 120 minutes?

                B.            What is the probability it takes a candidate at least 110 minutes to finish the exam?

Make sure you round to 4 decimal places where appropriate.

2.            The average daily commuting distance for a San Diegan is 31 miles with a standard deviation of 5.8 miles. If commuting distances are normally distributed:

                A.            What is the probability that a person commutes at most 35 miles?

                B.            What is the probability that a person commute is between 25 and 38 miles?

C.            What would someone have to commute to be in the top 6% of longest commutes (Where does the Top 6% start)?

Answer 1