the values of E(Y|X= 300) and Var(Y|X

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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4.3-4. The gene for eye color in a certain male fruit fly has
alleles (R. W). The gene for eye color in the mating female
fruit fly also has alleles (R, W). Their offspring receive one
allele for eye color from each parent. If an offspring ends
up with either (R, R), (R. W), or (W, R), its eyes will look
red. Let X equal the number of offspring having red eyes.
Let Y equal the number of red-eyed offspring having (R.
W) or (W, R) genes.
(a) If the total number of offspring is n = 400, how is X
distributed?
(b) Give the values of E(X) and Var(X).
Transcribed Image Text:4.3-4. The gene for eye color in a certain male fruit fly has alleles (R. W). The gene for eye color in the mating female fruit fly also has alleles (R, W). Their offspring receive one allele for eye color from each parent. If an offspring ends up with either (R, R), (R. W), or (W, R), its eyes will look red. Let X equal the number of offspring having red eyes. Let Y equal the number of red-eyed offspring having (R. W) or (W, R) genes. (a) If the total number of offspring is n = 400, how is X distributed? (b) Give the values of E(X) and Var(X).
(c) Given that X = 300, how is Y distributed?
(d) Give the values of E(Y|X = 300) and Var(Y|X =
300).
Transcribed Image Text:(c) Given that X = 300, how is Y distributed? (d) Give the values of E(Y|X = 300) and Var(Y|X = 300).
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