Two types of light bulbs are manufactured by firm A and firm B. The life of bulb type A is normally distributed with mean 100 hours and variance 15. The life of bulb type B is normally distributed with mean 105 hours and variance 30. (i) What is the probability that a type A bulb will last more than 110 hours? (ii) If 20 bulbs each of type A and type B bulbs are turned on at the same time, what is the probability that type A bulbs will last longer than type B bulbs ?

Two types of light bulbs are manufactured by firm A and firm B. The life of bulb type A is normally distributed with mean 100 hours and variance 15. The life of bulb type B is normally distributed with mean 105 hours and variance 30. (i) What is the probability that a type A bulb will last more than 110 hours? (ii) If 20 bulbs each of type A and type B bulbs are turned on at the same time, what is the probability that type A bulbs will last longer than type B bulbs ?

Managerial Economics: A Problem Solving Approach

5th Edition

ISBN:9781337106665

Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Chapter17: Making Decisions With Uncertainty

Section: Chapter Questions

Problem 7MC

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Question

Two types of light bulbs are manufactured by
firm A and firm B. The life of bulb type
A is normally distributed with mean 100 hours
and variance 15. The life of bulb type B is
normally distributed with mean 105 hours and
variance 30.
(i) What is the probability that a type A bulb will
last more than 110 hours?
(ii) If 20 bulbs each of type A and type B bulbs
are turned on at the same time, what is the
probability that type A bulbs will last longer than
type B bulbs ?

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