A manufacturer knows that their items have a normally distributed lifespan, with a mean of 8.4 years, and standard deviation of 2.5 years. If you randomly purchase one item, what is the probability it will last longer than 15 years?
µ = 8.4
sd = 2.5
= P(Z > 2.64)
= 1 - P(Z < 2.64)
= 1 - 0.9959
= 0.0041
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