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Find the expected value and standard deviation of the total amount of profit made on two randomly selected days. Show your work. 1. Get on the boat! Refer to Exercise 37. The ferry company's expenses are $20 per trip. Define the ran- dom variable Y to be the amount of profit (money col- lected minus expenses) made by the ferry company on a randomly selected trip. That is, Y = M - 20. a) Find and interpret the mean of Y. b) Find and interpret the standard deviation of Y. 37. Get on the boat! A small ferry runs every half hour from one side of a large river to the other. The num- ber of cars X on a randomly chosen ferry trip has the probability distribution shown below. You can check that ux = 3.87 and ox = 1.29. Cars: Probability: 0 0.02 1 0.05 2 3 0.08 0.16 4 0.27 5 0.42 (a) The cost for the ferry trip is $5. Make a graph of the probability distribution for the random variable M money collected on a randomly selected ferry trip. Describe its shape. (b) Find and interpret im. (c) Find and interpret om. 1. R.Anaie dedicated Slee Ball plaver (see 20

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