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.
For the probability, the random variable will follow poison distribution with mean and the required probability can be written as .
The required probability can be written as follows:
Need to calculate using the calculator for this click on then DISTR, and then scroll down Poissoncdf option and enter the given details. After this click on the enter option, the screenshot is given below:
Substitute the value in the equation we get,
Therefore, the probability that more than eight patients arrive during the half-hour period is
.
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