The following table displays a frequency distribution for the number of crew members on each shuttle mission from April 12, 1981 to July 8, 2011. Crew Size 2 4 5 6 7 8 Frequency 4 3 36 28 63 1 Let C = Crew Size a) How many shuttle missions were there from April 12th, 1981 to July 8, 2011? b) Create a probability distribution for the random variable C C = c P(C = c) 2 4 5 6 7 8 1.0000 Use your probability distribution to find: c) P(C = 6) = d) P(C is at least 4) = e) P(C is no more than 7) = f) P (4 C 7) = g) P (2 < C 5) = h) What is the expected crew size? E(C) = (Round answers to four decimal places e.g. 0.2345 or .2345) Flag question: Question 2 Question 2 10 pts The random variable Y is the number of persons living in a randomly selected occupied housing unit. Its probability distribution is as follows. y 1 2 3 4 5 6 7 P(Y = y) 0.265 0.327 0.161 0.147 0.065 0.022 0.013 (Round your answers to three decimal places) a) Calculate the mean (expected value) of the random variable Y . E(Y)= = b) Calculate the standard deviation of the random variable Y. (Y)=