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/2020 Assignment Previewer 1/3 Points DevoreStat9 3. 03. 14049011] Airlines Sometimes Overbook Fight

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/2020 Assignment Previewer 1/3 points DevoreStat9 3. 03. 14049011] Airlines sometimes overbook fights. Suppose that for a plane with 50 seats, 55 passengers have tickets. Define the random variable Y as the number of ticketed passengers who actually show up for the flight. The probability mass function of Y appears in the accompanying table. Y ( ) and 45 46 47 48 49 50 51 52 53 54 55 0.02 0.10 0.12 0.14 0.25 0.17 0.03 0.06 0.01 0.05 0.05 (Round your variance to four decimal places and your standard deviation to two decimal places.) Calculate VIN- y = Determine the probability that is within 1 standard deviation of its mean value. 0/2 points DevoreStat9 3..030. 13210573) An individual who has automobile insurance from a certain company is randomly selected. Let y be the number of moving violations for which the individual was cited during the last 3 years. The pmf of Y is the following y 0 1 2 3 Ply) 0.50 0.20 0.25 0.05 (a) Compute En. E(Y) (b) Suppose an individual with Y violations incurs a surcharge of $80V? Calculate the expected amount of the surcharge. $ . 0/4 points DevoreStar 3..0383895731] Possible values of X, the number of components in a system submitted for repair that must be replaced, are 1, 2, 3, and 4 with corresponding probabilities 0.35, 0.15, 0.15, and 0.35, respectively. (a) Calculate E(X) and then E(5 - 9 EXT-D E[5-X= 1 (b) Would the repair facility be better off charging a flat fee of $85 or else the amount else the amount o 13:50] (Note: It is not generally true that ) - | be better off charging a fiat fe of ses because e ( 6150) - O The repair facility ---Select- be better off charging a flat fee of $85 because

Y 45 46 47 48 49 50 51 52 53 54 55 Total p(y) 0.02 0.1 0.12 0.14 0.25 0.17 0.03 0.06 0.01 0.05 0.05 Y*p(y) 0.9 4.6 5.64 6.72 12.25 8.5 1.53 3.12 0.53 2.7 2.75 49.24 Y2*p(y) 40.5 211.6 265.08