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Problem

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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.

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 given that earthquakes occurred in months so in a month number of earthquakes will be,

.

The decay rate is given by as follows:

 

Therefore, the probability of having at least two earthquakes in will be,

 

Therefore, the probability that at least two earthquakes will occur in months is almost zero.

 

 

      

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