The amount of gasoline in gallons sold by three different gas stations during one day is given by the independent random variables X1,X2 and X3, each with a normal distribution. X1 has mean μ1 = 600 and standard deviation σ1 = 55; X2 has mean μ2 = 800 and standard deviation σ2 = 75; X3 has mean μ3 = 850 and standard deviation σ3 = 100. Suppose the prices per gallon are $3.10, $3.20, and $2.90 for X1, X2, and X3 respectively a) Find the expected combined revenue of the gas stations for a given day. b) Find the standard deviation of this combined revenue.

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The amount of gasoline in gallons sold by three different gas stations during one day is given by the independent random variables X1,X2 and X3, each with a normal distribution. X1 has mean μ1 = 600 and standard deviation σ1 = 55; X2 has mean μ2 = 800 and standard deviation σ2 = 75; X3 has mean μ3 = 850 and standard deviation σ3 = 100. Suppose the prices per gallon are $3.10, $3.20, and $2.90 for X1, X2, and X3 respectively a) Find the expected combined revenue of the gas stations for a given day. b) Find the standard deviation of this combined revenue.
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