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Genetics of peas. According to genetic theory, the blossom colour in the second generation of the 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 colours of separate plants are independent.

(a) What is the probability that precisely 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?

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