Question

Black hair in rabbits is determined by a dominant allele, B, and white hair by homozygosity...

Black hair in rabbits is determined by a dominant allele, B, and white hair by homozygosity for a recessive allele, b. Two heterozygous rabbits mate and produce a little of five offspring. With what frequency would we expect to find: a) two whites and three black offspring? b) four white and one black offspring?

Math   Statistics-And-Probability   
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Answer #1

Here as we know from mendel experiment that when two  heterozygous mates then the dominant allele will be shown 3 out of4 times and reccessive allele 1 out of 4 times.

Now here they produces 5 offspring.

and Pr(Black hair) = 3/4 and Pr(White hair) = 1/4

the distribution can be termed as binomial where x is the number of black hair offspring out of 5

f(x black hair offspring) = 5Cx (3/4)x(1/4)5-x = 0.2637

(a) Now we have to find the probability of

Pr(Two whites and three black offspring) = 5C3 (3/4)3(1/4)2 = 0.2637

(b Pr(Four white and one black offspring) = 5C4 (3/4)4(1/4)1 = 0.3955

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