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The average lifetime of a certain new cell phone is four years. The manufacturer will replace any cell phone failing within 3 years of the date of purchase. The lifetime of these cellphones is known to follow an exponential distribution. What is the decay rate (m)?

User YetiCGN
by
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1 Answer

5 votes

Answer:

The decay rate 'm' is 0.25

Explanation:

As given,

Average Life time of New cell phone = 4 years

Lifetime of phone = L = ?

L is a random variable defining lifetime of a cell phone.

L∼ Exponential (m)

Mean of Exponential Distribution =
(1)/(m)

As, they follow exponential distribution, so to find decay rate , we simply can write it as :


(1)/(m) = 4

or


m = (1)/(4)

m=0.25

L∼ Exponential (0.25)

The decay rate is 0.25

User Kumar Mangalam
by
8.2k points
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