Genetics of peas
According to genetic theory, the blossom color in the second generation of a certain cross of sweet peas should be red or white in a 3:1 ratio. That is, each plant has probability 3/4 of having red blossoms, and the blossom colors of separate plants are independent.
(a) What is the probability that exactly 9 out of 12 of these plants have red blossoms?
(b) What is the mean number of red-blossomed plants when 120 plants of this type are grown from seeds?