The roentgen equivalent man (or rem) is a is a measure of radiation dosage. For a member of the general public, the Nuclear Regulatory Agency sets a maximum limit of 100 rem per year, Jane Jay walks past the JJJ Nuclear power plant on the way to work 200 days per year and on each of those days she is exposed to a random amount of radiation, X, with a mean of .49 rem and a standard deviation of ,11 rem. The amount of radiation she receives on any day is independent of the amount of radiation receives on any other day. Let M be the random variable representing the mean amount of radiation per day(in rems) received by Jane Jay in the 200 days. Let T = the random variable representing the total amount radiation(in rems) received in the 200 days. a) What theorem will let us treat T and M as approximately normal random variables? Monte Carlo Theorem Central Limit Theorem Convolution Theorem 301 Theorem Chebychev's Theorem Law of Large Numbers b) What is the expected value of T? c) What is the standard deviation of T? d) What is the approximate probability that T is greater than 1007