The amount of time necessary for assembly line workers to complete a product is a normal random variable with a mean of fifteen ( 15 ) minutes and a standard deviation of two ( 2 ) minutes.
1) What is the probability that a product is assembled in less than 12 minutes?
2) Within how many minutes would 70% of the products be assembled?
3) What is the probability that a product is assembled between 10 and 12 minutes?