5 15 points Assume that fans will arrive to the Villanova U

5. (15 points) Assume that fans will arrive to the Villanova - UNC final four game according to the random variable W = 3X + 2Y + Z. X represents the arrival of fans from Villanova University according to an exponential distribution with arrival rate of 50 fans per minute. Y represents the arrival of fans from University of North Carolina follows is normally distributed N (55, 10) fans per minutes. Z represents independent fans that arrive according to continuous uniform distribution with parameters (40, 60) fans per minute. (a) Find E (W) (b) Find E(W)

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