Arecent study of the lifetimes of cell phones found the average is 24.3 months. the standard deviation is 2.6 months. if a company provides its 37 employees with a cell phone, find the probability that the mean lifetime of these phones will be less than 23.1 months. assume cell phone life is a normally distributed variable, the sample is taken from a large population and the correction factor can be ignored. round the final answer to four decimal places and intermediate z-value calculations to two decimal places. p(x < 23.1)- at a large publishing company, the mean age of proofreaders is 36.2 years and the standard deviation is 3.7 years. assume the variable is normally distributed. round intermediater-value calculations to two decimal places and the final answers to four decimal places. part 1 if a proofreader from the company is randomly selected, find the probability that his or her age will be between 35.5 and 37 years. p (35.5< x< 37) =1606 part 2 out of 2 if a random sample of 38 proofreaders is selected, find the probability that the mean age of the proofreaders in the sample will be between 35.5 and 37 years. assume that the sample is taken from a large population and the correction factor can be ignored. p (35.5