Let (X, Y) follow a bivariate normal distribution with parameters µx, ly , ox,oý, p and that X|Y = y is normally distributed with parameters µx+ p(y – µx) 5 and p > 0, find p if P[8

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Let (X, Y) follow a bivariate normal distribution with parameters ux, Hy, o3, oỷ, p and
that X|Y
= y is normally distributed with parameters µx +
-p(y – Hx)
(a) Given that µx = 5, µy = 10, ox = 1, oy = 5 and p > 0, find p if P[8 < Y <
12|X = 5] = 0.383.
1, ОY
Transcribed Image Text:Let (X, Y) follow a bivariate normal distribution with parameters ux, Hy, o3, oỷ, p and that X|Y = y is normally distributed with parameters µx + -p(y – Hx) (a) Given that µx = 5, µy = 10, ox = 1, oy = 5 and p > 0, find p if P[8 < Y < 12|X = 5] = 0.383. 1, ОY
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