Question

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.

(c) What is the probability of obtaining at least 66 red-blossomed plants when 88 plants are grown from seeds? Use the Normal approximation. (Round your answer to four decimal places.)

If your software allows, find the exact binomial probability. (Round your answer to four decimal places.)

Answer 1

c) We can find the exact binomial probability by using excel. Hence,

P(At least 66)

= 1 - P(Less than 66)

= 1 - binom.dist(65, 88, 0.75, True)

= 0.5570