goldotter686Lv1
17 Nov 2021
Problem 96a
Page 331
Section: Homework
Chapter 5: CONTINUOUS RANDOM VARIABLES
Textbook ExpertVerified Tutor
17 Nov 2021
Given information
Use the following information to answer the next three exercises. The average lifetime of a certain new cell phone is three years. The manufacturer will replace any cell phone failing within two years of the date of purchase. The lifetime of these cell phones is known to follow an exponential distribution.
At a call center, calls come in at an average rate of one call every two minutes. Assume that the time that elapses from one call to the next has an exponential distribution.
Step-by-step explanation
Step 1.
As given in the problem that the average lifetime of a certain new cell phone is three years. And the manufacturer will replace any cell phone failing within two years of the date of purchase. The lifetime of these cell phones is known to follow an exponential distribution.
Therefore,
where
The decay rate is given by
On average one call is received in two minutes, therefore five calls will be received in
.
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