#1

The average life of a light bulb is 500 hours. Find

a) The probabilitythat a bulb will last more than 1,000 hours

b) The probability that a bulb will last less than 100 hours

c) The medianlife

d) The probability that a bulb will last exactly 500 hours

e) The 95 Percentile

(Note e^ (-3.0) is almost 0.05, so the 95 percentilelife would be -3.0/0.002 = 1,500 hours)

#2

An elevator has a design capacity of 2,560 pounds and a posted limit of 16 passengers. The weight of adults is approximately normal with a meanof 150 pounds and standard deviationof 20 pounds.

Find the probability that the elevator will be overloaded if 16 people are in the elevator. How many passengers would you recommend if you wanted to be sure that the overloading probability is less than 0.001?

This solution contains over 300 words and calculations to aid you in understanding the probabilities for product performance.