III on a particular lamp post, the bulb is replaced as soon as it gets buuted. Let the total number of replacements Ht up to time t have a Poisson distribution w/ intenuity q=.02 replacement per day. Consider the bulb working on the 60th day. 1. Find the probability that it gets buuted in 15 days or less. 2. Find the probability that it is functioning for more than 10 days already.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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III on a particular lamp post, the bulb is
replaced as soon as it gets busted. Let the
total number of replacements Nt up to time
t have a Poisson distribution w/ intensity
a=.02 replacement per day. Consider the
bulb working on the 60th day.
1. Find the probability that it gets buuted
in 15 days or less.
2. Find the probability that it is functioning
for more than 10 days already.
Transcribed Image Text:III on a particular lamp post, the bulb is replaced as soon as it gets busted. Let the total number of replacements Nt up to time t have a Poisson distribution w/ intensity a=.02 replacement per day. Consider the bulb working on the 60th day. 1. Find the probability that it gets buuted in 15 days or less. 2. Find the probability that it is functioning for more than 10 days already.
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