The average lifetime of a certain new cell phone is 6 years. The manufacturer will replace any cell phone failing within 2 years of the date of purchase. The lifetime of these cell phones is known to follow an exponential distribution. What is the decay rate?

Question

Mathematics

Regan Hendricks

15 February, 10:30

The average lifetime of a certain new cell phone is 6 years. The manufacturer will replace any cell phone failing within 2 years of the date of purchase. The lifetime of these cell phones is known to follow an exponential distribution. What is the decay rate?

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Answers (1)

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Agustin Holloway · Answer 1

1/6

Step-by-step explanation:

Let X = amount of time (in minutes) a postal clerk spends with his or her customer. The time is known to have an exponential distribution with the average amount of time

X is a continuous random variable since time is measured. It is given that μ = 6 years. To do any calculations, you must know m, the decay parameter.

m = 1/μ = 1/6

So the decay rate is 1/6