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  3. suppose that finishing times of runners in a local

Suppose that finishing times of runners in a local 10K race follow an approximate normal distribution...

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Basic Math

Suppose that finishing times of runners in a local 10K racefollow an approximate normal distribution with mean 61 minutes andstandard deviation 9 minutes.

(a) Melissa finished the race in 52 minutes. How many standarddeviations below average is Melissa's time?

(b) What is the probability that a randomly selected runnercompleted the race in between 43 and 52 minutes?

(c) Jennifer's finishing time was 79 minutes. What percentage ofrunners had faster times than Jennifer?

(d) The fastest 16% of runners finished the race in less thanhow many minutes?

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