A dishwasher has a mean life of 12 years with an estimated standard deviation of 1.25 years ("Appliance life expectancy," 2013).Assume the life of a dishwasher is normally distributed.

a.)True or False: The random variablexdefines the life expectancy of a dishwasher

b.)Find the probability that a dishwasher will last more than 15 years.

c.)Find the probability that a dishwasher will last less than 8 years.

d.)Find the probability that a dishwasher will last between 8 and 10 years.

e.)A manufacturer of dishwashers only wants to replace free of charge 5% of all dishwashers.How long should the manufacturer make the warranty period?