According to a recent study, the distance that a healthy adult bull-frog can jump is normally distributed with a mean of 6.8 feet and a standard deviation of 1.9 feet.

Question 1

(a) What is the z-score that corresponds to a bull frog that can jump 9.6 feet? Round your answer to 2 decimal places.

(b) What is the probability that a bull frog selected at random could jump more than 9.6 feet?

Question 3

The heights of ten-year-old males are normally distributed with a mean of 55.9 inches and a standard deviation of 5.7 inches. What is the probability that a ten-year-old male selected at random is taller than 58 inches?

Question 4

The amount of time needed for a mail carrier to complete his route is normally distributed with a mean of 400 minutes and a standard deviation of 18 minutes. Find the probability that the time needed to cover his route on a randomly selected day is less than 440 minutes.

Question 5

Scores on a college entrance exam are normally distributed with a mean of 550 and a standard deviation of 100. If one exam is selected at random, find the probability that it is above 542.

Question 6

In a recent study it was found that the amount of TV a typical ten-year-old watches per week is normally distributed with a mean of 15 hours and a standard deviation of 1.5 hours. Find the probability that one randomly chosen ten-year-old watches between 13 and 16 hours of TV each week.