A dishwasher has a mean lifetime of 12 years with an estimated standard deviation of 1.25 years. The lifetime of a dishwasher is normally distributed. Suppose you are a manufacturer and you take a sample of 10 dishwashers that you made. It is possible with rounding for a probability to be 0.0000. a) Identify the individual, variable, type of variable and the random variable X in the context of this problem. The individual is Select an answer The variable information collected from each individual is Select an answer This variable is a Select an answer The random variable X is as follows: Select an answer b) List the givens with the correct symbols. ?v = 12 y 2 years ?= 1.25 years = 10 variable. c) Identify the random variable X in the context of this problem. Select an answer d) Find the mean of the sampling distribution of the sample mean. Put the numeric value in the first box and the correct units in the second box. e) Find the standard deviation of the sampling distribution of the sample mean. Put the numeric value rounded to two decimal places in the first box and the correct units in the second box. f) What is the shape of the sampling distribution of the sample mean?