The average lifespan of a CleanFreek dishwasher is normally distributed with a mean of 8 years and a standard deviation of 1.6 years.

a.What is the probability that a CleanFreek dishwasher will last longer than 12 years?

P (X > 12)=

b.What is the probability that a CleanFreek dishwasher will last fewer than 6 years?

P (X < 6)=

c.What length warranty should be established on the dishwashers so that no more than 1.5% of the units will need to be replaced under warranty?

x= years