A toll road charges $4 for passenger cars and $7 for other vehicles. Let X1 be the number of passenger cars and X2 be the number of other vehicles entering the toll road in one hour. Assume that X1 and X2 are independent normal random variables with means u1 = 45, µ2 = 20, and standard deviations o1 = 5, 02 = 6. (a) Express the toll road revenue per hour Y as a function of X1 and X2. (b) Find the mean ly and the standard deviation oy of Y. (c) Find the probability that the toll road revenue during a particular hour is between $ 300 and $ 400, inclusive.

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A toll road charges $4 for passenger cars and $7 for other
vehicles. Let X1 be the number of passenger cars and X2 be the number of
other vehicles entering the toll road in one hour. Assume that X1 and X2
are independent normal random variables with means 41 = 45, µ2 = 20, and
standard deviations o1 = 5, 02 = 6.
(a) Express the toll road revenue per hour Y as a function of X1 and X2.
(b) Find the mean ly and the standard deviation oy of Y.
(c) Find the probability that the toll road revenue during a particular hour
is between $ 300 and $ 400, inclusive.
Transcribed Image Text:A toll road charges $4 for passenger cars and $7 for other vehicles. Let X1 be the number of passenger cars and X2 be the number of other vehicles entering the toll road in one hour. Assume that X1 and X2 are independent normal random variables with means 41 = 45, µ2 = 20, and standard deviations o1 = 5, 02 = 6. (a) Express the toll road revenue per hour Y as a function of X1 and X2. (b) Find the mean ly and the standard deviation oy of Y. (c) Find the probability that the toll road revenue during a particular hour is between $ 300 and $ 400, inclusive.
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