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In this video, we will look at Sample Question 83 from the Society of Actuaries' Exam P (Probability) list of sample questions.
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A company manufactures a brand of light bulb with a lifetime in months that is normally
distributed with mean 3 and variance 1. A consumer buys a number of these bulbs with
the intention of replacing them successively as they burn out. The light bulbs have
mutually independent lifetimes.
Calculate the smallest number of bulbs to be purchased so that the succession of light
bulbs produces light for at least 40 months with probability at least 0.9772.
(A) 14
(B) 16
(C) 20
(D) 40
(E) 55
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