Question

Participants in a company’s work-at-home program make sausage in their kitchen and then park at busy intersections to sell the sausage out of their car trunk. The amount of sausage that a participant sells in a month is normally distributed with mean 140 pounds and standard deviation 17.5. The company considers anyone who sells less than 150 pounds a “failure” for that month, while anyone who sells more than 180 is a “star”. Anyone whose sales are between these amounts is rated “adequate”.

(a) What is the probability of an “adequate” rating?

(b) If a participant is at the 80th percentile of sausage sales, how much sausage did they sell?

show work.

Answer 1