SOLUTION: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 9.3 years, and standard deviation of 1.7 years. If you randomly purchase one item, wha

Algebra ->  Probability-and-statistics -> SOLUTION: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 9.3 years, and standard deviation of 1.7 years. If you randomly purchase one item, wha      Log On


   



Question 1197892: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 9.3 years, and standard deviation of 1.7 years.
If you randomly purchase one item, what is the probability it will last longer than 11 years?
Round answer to four decimal places

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Normal Distribution: µ = 9.3 and σ = 1.7
Using a hand-held TI or similarly an inexpensive calculator like an Casio fx-115 ES plus
P(x > 11) = normcdf(11, 9999, 9.3, 1.7) = .1587 (Rounded to four decimal places)