(c) Var(Y|x). (d) P(309.2

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I ONLY need help with parts (c) and (d) on this Intro to probability and statistics homework problem. Below the homework problem is the answers from the textbook. Make sure your handwriting is neat and readable.

 

4.5-7. For a pair of gallinules, let X equal the weight in
grams of the male and Y the weight in grams of the female.
Assume that X and Y have a bivariate normal distribu-
tion with x = 415, o=611, y = 347, o = 689, and
p=-0.25. Find
(a) P(309.2<Y <380.6).
(b) E(Y|x).
(c) Var(Y|x).
(d) P(309.2< Y <380.61 X = 385.1).
Transcribed Image Text:4.5-7. For a pair of gallinules, let X equal the weight in grams of the male and Y the weight in grams of the female. Assume that X and Y have a bivariate normal distribu- tion with x = 415, o=611, y = 347, o = 689, and p=-0.25. Find (a) P(309.2<Y <380.6). (b) E(Y|x). (c) Var(Y|x). (d) P(309.2< Y <380.61 X = 385.1).
4.5-7 (a) 0.8248;
(b) E(Y|x) =
457.1735-0.2655x;
(c) Var(Y|x) = 645.9375;
(d) 0.8079.
Transcribed Image Text:4.5-7 (a) 0.8248; (b) E(Y|x) = 457.1735-0.2655x; (c) Var(Y|x) = 645.9375; (d) 0.8079.
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