### What is the mean number of red-blossomed plants

Assignment Help Basic Statistics
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Find the probability for Normal approximation of Binomial distribution.

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?

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

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