a dishwasher has a mean life of 12 yrs with an estimated SD of 1.25 years. The life of a dishwaher is normally distributed. Suppose you are a manufacturer and you take a sample of 10 dishwashers that you made.

a. T or F The random variable is defined as the sum of dishwassher life expectancies in the sample.

b. For a sample of size 10, state the mean of the sample.

c. For a sample of size 10, state the SD of the ssample mean (the "Standard error of the mean"

d. Suppose a sample of size 10 is taken. Find the probability that the ample mean dishwaher life epectancy is less than 11yr