Q1. (4 points) The weight of luggage is normally distributed with a mean of 4.6 lbs and a standard deviation of 0.2 lb.

(a) What is the probability that the luggage weighs less than 5 lbs.? 2 Points

(b) The company wants to make a claim that 99% of its luggage weighs less than 5 lbs. Given the mean is known to be 4.6 lbs, what will the standard deviation of weight be? 2 Points