A brisk walk at 4 miles per hour burns an average of 300 cal

A brisk walk at 4 miles per hour burns an average of 300 calories per hour. If the standard deviation of the distribution is 5 calories, find the probability that a person who walks 1 hour at the rate of 4 miles per hour will burn the given number of calories. Assume the random variable is normally distributed.

Refer to the table of values (Area Under the Standard Normal Distribution) as needed. If necessary, round intermediate calculations to the nearest hundredth.

More than 282 calories

the probability that a randomly selected person burns more than 282 calories is ______%

Can you show how you got your answer?

Solution

Mean = 300 and sigma =5

P(x=300) = 0 (as in a continuous distribution at any particular point prob =0)

P(X>282) = P(Z>-18/5) =P(z>-3.6)

=1