4.5-6 a b and c only with ux = 70, ofFind%3D(a) E(Y|X = 76).(b) Var(Y | X = 76).%3D(c) P(Y < 86| X = 76).4.5-5. Let X denote the height in centimeters and Y theweight in kilograms of male college students. Assume thatX and Y have a bivariate normal distribution with param-100, µy = 84, o%3Deters ux =185, o64, and%3D%3D%3Dp%3D3/5.(a) Determine the conditional distribution of Y, giventhat X = 190.%3D(b) Find P(86.4 < Y < 95.36|X = 190).4.5-6. For a freshman taking introductory statistics andmajoring in psychology, let X equal the student's ACTmathematics score and Y the student's ACT verbal score.Assume that X and Y have a bivariate normal distributionwith ux = 22.7, o =17.64, µy = 22.7, o = 12.25, and%3D%3Dp%3D0.78.(a) Find P(19.9 < Y < 26.9).(b) Find E(Y |x).(c) Find Var(Y |x).(d) Find P(19.9 < Y < 26.9| X = 23).(e) Find P(19.9 < Y < 26.9|X 25).(O For x = 21, 23, and 25, draw a graph of z = h(ylx)similar to Figure 4.5-1.%3D

Name: 4.5-6 a b and c only with ux = 70, ofFind%3D(a) E(Y|X = 76).(b) Var(Y
Uploaded: 2024-03-20T07:06:41.000Z
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Description: 4.5-6 a b and c only with ux = 70, ofFind%3D(a) E(Y|X = 76).(b) Var(Y | X = 76).%3D(c) P(Y < 86| X = 76).4.5-5. Let X denote the height in centimeters and Y theweight in kilograms of male college students. Assume thatX and Y have a bivariate normal d