(1 point) The length, X, of a fish from a particular mountain lake in Idaho is normally distributed with / = 9.7 inches and o = 1.9 inches. (a) Find the probability that the length of a chosen fish was greater than 10.7 inches: (b) Find the probability that the length of a chosen fish was between 8.7 and 10.7 inches: Remark: Round your answers to 4 decimal places.(1 point) Joe is new to cooking. The probability that Joe burns dinner is 65%. What is the probability that in the next 6 dinners Joe prepares, less than 3 of them will burn? Express your answer as a decimal rounded to 3 decimal places after the decimal point. Answer:(1 point) Let the random variable X be the number of rooms in a randomly chosen owner-occupied housing unit in a certain city. The distribution for the units is given below. X 3 4 5 6 7 8 9 10 P(X) 0.06 0.21 0.45 0.18 0.03 0.03 0.02 ? (a) What must be the probability of choosing a unit with 10 rooms? P(X = 10) = 0.02 (b) What is the probability that a unit chosen at random has four rooms or seven room? P(X = 4 or X = 7) = Note: Enter your answers with 2 decimal places. Note: You can earn partial credit on this