A dishwasher has a mean life of 12 years with an estimated standard deviation of 1.25 years (\"Appliance life expectancy." 2013}. The life of a dishwasher is normally distributed. Suppose you are a manufacturer and you take a sample of 10 dishwashers that you made. a.) TRUE or FALSE: The random variable is defined as the sum of dishwasher life expectancies in the sample. b.) For a sample of size 10, state the mean of the sample mean. c.} For a sample of size 10. state the standard deviation of the sample mean [the "standard error of the mean"). d.) Suppose a sample of size 10 is taken. Find the probability that the sample mean dishwasher life expectancy is less than 11 years