It is known that the shelf life of refills for a certain brand of purifier of water is exponentially distributed with an average of 3 years. Joe has already used his refill from said brand for 2 years in a row. What is the probability that Joe does not need change your water purifier refill in the next 2 years?
It is known that the shelf life of refills for a certain brand of purifier of water is exponentially distributed with an average of 3 years. Joe has already used his refill from said brand for 2 years in a row. What is the probability that Joe does not need change your water purifier refill in the next 2 years?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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Question
It is known that the shelf life of refills for a certain brand of purifier
of water is exponentially distributed with an average of 3 years. Joe has already used his refill from said brand for 2 years in a row. What is the
Expert Solution
Step 1
Exponential Distribution: A continuous random variable X is said to follow Exponential distribution with parameter if its probability density function is given by,
It is denoted by,
The cumulative distribution function of X is given by,
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