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Snapdragon plants have a gene that determines the presence of chlorophyll. The dominant allele (C) causes the plant to make chlorophyll, while the recessive allele (c) makes none. Snapdragons that are homozygous dominiant (CC) are green, whereas those that are heterozygous (Cc or cC) are yellow. The homozygous recessive plants die almost immediately due to lack of chlorophyll. If a healthy adult snapdragon is chosen at random from a large population of o?spring of a heterozygous cross, about 1/3 will have zero copies of the recessive, and 2/3 will have one copy. Let X be a RV that represents the number of copies of the recessive allele. Eight healthy Snapdragon plants were chosen at random from a large population of o?spring of a heterozygous cross.
(a) Express the pmf for this situation. Note: Write the values of X and P(X) inside the parentheses separated by comma. That is, X=(,); P(x)=(,), where the ?rst value in P(X) correspond to the probability of the ?rst value in X and so on.
(b) De?ne n,π to this situation
(c) Find the probability that exactly three Snapdragon are yellow. Hint: heterozygous plants are yellow, they have one copy of the recessive allele.
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