SOLUTION: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 8.9 years, and standard deviation of 1.5 years. If you randomly purchase one item, wha

Question 1179345: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 8.9 years, and standard deviation of 1.5 years.
If you randomly purchase one item, what is the probability it will last longer than 13 years?
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!


Hi
Distribution: normal with µ = 8.9yr and σ = 1.5yr
randomly purchase one item:
Continuous Curve:
Using TI or similarly an inexpensive calculator like an Casio fx-115 ES plus

P( x >  13) = normalcdf(13, 9999,8.9,1.5) = .0031 
Or
P( x >  13) = 1 - P( x ≤ 13) = 1 - 0.9969 = .0031
Wish You the Best in your Studies.

RELATED QUESTIONS
A manufacturer knows that their items have a normally distributed lifespan, with a mean... (answered by VFBundy)

A manufacturer knows that their items have a normally distributed lifespan, with a mean... (answered by VFBundy)

A manufacturer knows that their items have a normally distributed lifespan, with a mean... (answered by rothauserc)

A manufacturer knows that their items have a normally distributed lifespan, with a mean... (answered by VFBundy)

A manufacturer knows that their items have a normally distributed lifespan, with a mean... (answered by Boreal)

A manufacturer knows that their items have a normally distributed lifespan, with a mean... (answered by ewatrrr)

A manufacturer knows that their items have a normally distributed lifespan, with a mean... (answered by Edwin McCravy)

A manufacturer knows that their items have a normally distributed lifespan, with a mean... (answered by rothauserc)