Question: Given X 1 , X2 , X3 , X 4 are independent random Variables , each with density function f (a ) = S -

 Given X 1 , X2 , X3 , X 4 areindependent random Variables , each with density function f (a ) =

Given X 1 , X2 , X3 , X 4 are independent random Variables , each with density function f (a ) = S - ( x - 6 ) if x 7 6 0 else CDF Of f (2) is F (x ) = px Let u = 6- 2 6 du = -1 => da = -du dx = - Sendu = - e + 6- x [undo substitution 6-x X = . 6-2 e = 1 - e ; 276 6 a ) CDF of y , Fy ( y ) = p [ y zy ] = 1-P(4 74] = 1 - E P ( x , > y] } = 1- 1 -Fy (4)Given X 1 , X2 , X3 , X 4 are independent random Variables , each with density function f (a ) = S - ( x - 6 ) if x 7 6 0 else CDF Of f (2) is F (x ) = px Let u = 6- 2 6 du = -1 => da = -du dx = - Sendu = - e + 6- x [undo substitution 6-x X = . 6-2 e = 1 - e ; 276 6 a ) CDF of y , Fy ( y ) = p [ y zy ] = 1-P(4 74] = 1 - E P ( x , > y] } = 1- 1 -Fy (4)b) From part (a), find the expected value for the price per share that you will have to pay. Enter the exact value. Hint: You could use integration by substitution with t = y 6 and then use the properties of the exponential density such as its density integration to one and its expected value Submit

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