statistics help

Question

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.1 years, and standard deviation of 2.5 years.

If you randomly purchase one item, what is the probability it will last longer than 14 years?

Round answer to three decimal places

Answer 1

z= (14-10.1)/2.5= 3.9/2.5= 1.56

use a z score calclator or z tables

Pr(x>14)=.05938= 5.938%