A car is designed to last an average of 12 years with a standard deviation of 0.8 years. What is the probability that a car will last less than 10 years?

I don't want the answer, I want an explanation on how to do it.

Question

A car is designed to last an average of 12 years with a standard deviation of 0.8 years. What is the probability that a car will last less than 10 years?

I don't want the answer, I want an explanation on how to do it.

mathmale · Answer

1.  Find the z-score for the value 10 years, given that the average / mean is 12 years and the std. dev. is 0.8 years.
2.  Using a table of z-scores, find the area to the left of the z-score you found in Step 1.
Pls show y our work.