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 6 out of 9 of these plants have red blossoms? (Use the binomial distribution. Round your answer to four decimal places.) (b) What is the mean number of red-blossomed plants when 160 plants of this type are grown from seeds? red-blossomed plants (c) What is the probability of obtaining at least 110 red-blossomed plants when 160 plants are grown from seeds? (Use the normal approximation. Round your answer to four decimal places.)
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