Textbook ExpertVerified Tutor
18 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 an urgent care facility, patients arrive at an average rate of one patient every seven minutes. Assume that the duration between arrivals is exponentially distributed.
Step-by-step explanation
Step 1.
The required probability can be written as using the memoryless exponential distribution is given by,
Therefore, the probability that the next person will arrive within the next five minutes is .
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