1) Suppose that for a certain brand of battery, the life in months is exponentially distributed with a decay parameter of m=152. In symbols, we say that the random variable XE(m), where in this case m=152. a. What is the expected battery life? Enter a whole number. b. What is the standard deviation in ages? Enter a whole number. c. Find the probability that a battery lasts less than 62 months. For grading accuracy, keep m as a fraction, then round the probability to three decimals. d. What is the 75th percentile for battery life? Round the percent to one decimal. e. Out of a random sample of 78 batteries, how many would you expect to last more than 47 months? Round to one decimal.