5) Suppose that light bulbs are installed sequentially into a socket. If we assume that each light bulb has a mean life of 2 months with a standard deviation of 0.25 months. Let X₁, for i=1,2,3.... denote the independent and identically distributed life time of a bulb installed, then a) What is the probability that each bulb will last for at least 7 months? b) What is the probability that each bulb will last at least 1.5 but at most 2.5 months? c) Find the probability that an average life time of 30 bulbs will be at least 2 months. d) Find the probability that 30 bulbs will last at least 4 years.

5) Suppose that light bulbs are installed sequentially into a socket. If we assume that each light bulb has a mean life of 2 months with a standard deviation of 0.25 months. Let X₁, for i=1,2,3.... denote the independent and identically distributed life time of a bulb installed, then a) What is the probability that each bulb will last for at least 7 months? b) What is the probability that each bulb will last at least 1.5 but at most 2.5 months? c) Find the probability that an average life time of 30 bulbs will be at least 2 months. d) Find the probability that 30 bulbs will last at least 4 years.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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