Question

A walker, traveling at 4 miles per hour, burns an average of 300 calories per hour. The standard deviation is 8 calories. Find the following for a walker that travels 4 miles in one hour.

What is the probability that the walker will burn LESS than 293 calories?

Answer 1

Solution:

Let X be the Walker traveling at 4 miles per hour.

Assume that X is normally distributed with mean = 300 calories and Standard deviations 8 calories per hour.

To find P( X < 293)

= P( Z < - 0.875)

= 0.1894 from Z table

P ( X < 293) = 0.1894

0.1894 is the probability that the Walker will burn less than 293 calories.