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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.

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?
c) what is the probability of obtaining at least 80 red-blossomed plants when 120 plants are grown from seeds?

This question was asked on May 06, 2010.

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