Please solve this.

6.- A recent report indicates that about 1 in every 200 Americans are in prison. Use this information and the Poisson distribution to determine the approximate probability that at most three people in a random sample of n = 500 Americans are currently in prison. (circleyour answer} (A) 0.7578448 (8) 0.00000002 (C) 0.7575761 (0) 0.7127025 (E) 0.54381312 (F) 0 7.- A variable is normally distributed with mean 10 and standard deviation 3. Find the percentage of all possible values of the variable that: a) lie between 7 and 13 Answer: b) are at least 16. Answer: 8.- A paint manufacturer in Camden claims that his paint will last an average of 5 years. Assuming that paint life X is normally distributed and has a standard deviation of 0.5 yea r, answer the following: a). Suppose that you paint one house with the paint and that the paint lasts 4.5 years. Would you consider that there is evidence against the manufactu rer's claim? ( (Hint: Assuming that the house painted with the paint Is 4.5 years orlses.) I I I _Answer: P(X