5.90 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.

1. (a) What is the probability that exactly 8 out of 10 of these plants have red blossoms?

2. (b) What is the mean number of red-blossomed plants when 130 plants of this type are grown from seeds?

3. (c) What is the probability of obtaining at least 90 red-blossomed plants when 130 plants are grown from seeds?