A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Suppose a movie theater has 12 neon lights on their marquis sign on the front of their building. Assume the neon lights are independent exponential random variables with all with the same lifetimes of lambda = 1/2000 per hour. Assume at the starting condition, all neon lights on the sign are working.


a) Calculate the probability that after 200 hrs, all the neon lights on the sign are still working.

b) Compute the expected number of neon lights still working after 200 hrs.

c) What is the expected time when a total of 3 of the neon lights have gone out?

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