The accompanying probability density function is a uniform distribution

showing that a certain delicate new medical device will fail between 0 and

10 years after it is implanted in the human body. The mean time to failure is

μ = 5 years, and the standard deviation is σ = 2.88 years.

(a) Verify that the total area beneath this density function is 1.0.
(b) Find the probability that an individual device will fail more than 8 years
after implantation.
(c) Find the probability that in a sample of n = 36 of these devices, the sample
mean time of failure X̅ will be 8 years or less.

Transcribed Image Text:

f(x) 1 0 1 X