Assuming the life times of different bulbs are independent, approximate the probability that the stock of lightbulbs will last the next 350weeks.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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A coastguard station has a stock of 40 extra luminescent bulbs to maintain the light in a lighthouse. The lifetime of such a bulb is a random variable with a mean of 8 weeks and a standard deviation of 5 weeks. Assuming the life times of different bulbs are independent, approximate the probability that the stock of lightbulbs will last the next 350weeks.

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