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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. For part (a): Enter TRUE or FALSE For parts (b) through (d), enter answer in decimal form rounded to nearest thousandth (3 places after decimal). Examples of correctly entered answers: 0.000 0.004 0.080 1.200 0.594 13.000 A/