Question

Problem 98c

Answer 1

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.

During the years , a total of  earthquakes of magnitude greater than  have occurred in Papua New Guinea. Assume that the time spent waiting between earthquakes is exponential.

Step-by-step explanation

Step 1.

It is known that will have months in it. So the probability of having an earthquake in months will be , therefore

 

Therefore, the required value is

.