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.
Step-by-step explanation
Step 1.
The shaded area is as in the following graph:
The cumulative distribution function of the exponential distribution is given by,
Putting the value of decay rate , it gives
Therefore, the required probability is,
.
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