The Exponential Distribution · Exercise 33
The average lifetime of a certain new smartphone is three years. The manufacturer will replace any smartphone failing within two years of the date of purchase. The lifetime of these smartphones is known to follow an exponential distribution.
What is the probability that a smartphone will fail within two years of the date of purchase?
(a) 0.8647
(b) 0.4866
(c) 0.2212
(d) 0.9997
Its source prints no answer for this problem, so there's nothing to check against.
OpenStax, Introductory Statistics 2e · §5.3 The Exponential Distribution · Exercise 33
No hints for this one.
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