4.5-5. Let X denote the height in centimeters and Y the weight in kilograms of male college students. Assume that X and Y have a bivariate normal distribution with param- eters x = 185, 0 = 100, y = 84, o = 64, and p=3/5. (a) Determine the conditional distribution of Y, given that X = 190. (b) Find P(86.4 < Y < 95.36 | X = 190).

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4.5-5. Let X denote the height in centimeters and Y the
weight in kilograms of male college students. Assume that
X and Y have a bivariate normal distribution with param-
eters x = 185, 0 = 100, y = 84, o = 64, and
p=3/5.
(a) Determine the conditional distribution of Y, given
that X = 190.
(b) Find P(86.4 < Y < 95.36 | X = 190).
Transcribed Image Text:4.5-5. Let X denote the height in centimeters and Y the weight in kilograms of male college students. Assume that X and Y have a bivariate normal distribution with param- eters x = 185, 0 = 100, y = 84, o = 64, and p=3/5. (a) Determine the conditional distribution of Y, given that X = 190. (b) Find P(86.4 < Y < 95.36 | X = 190).
4.5-5 (a) N(86.4. 40.96); (b) 0.4192.
Transcribed Image Text:4.5-5 (a) N(86.4. 40.96); (b) 0.4192.
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