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A traffic study was conducted at an outdoor drive-in. If we Let Y represent the number of passengers in the cars entering the drive-in, the

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A traffic study was conducted at an outdoor drive-in. If we Let Y represent the number of passengers in the cars entering the drive-in, the probability distribution of Y is given below: y 0 1 2 3 4 5 6 P(Y = y) 0.02 0.25 0.15 0.35 0.18 0.04 0.01 Note: The driver of the vehicle is not considered to be a passenger. a. Determine E(Y) and Var(Y). Suppose the drive-in charges admission for each car as follows: $9.50 for the driver and $4.50 for each passenger. b. Let Y1, Y2, Ya, ..., You be 90 independent and identically distributed (i.i.d) random variables representing a random sample of 90 cars entering the drive-in. Let R = Total revenue (in dollars) from the 90 cars. Approximate P(1400

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