How to find the probability for normal approximation


How to find the probability for Normal approximation of Binomial distribution.

Genetics of peas and according to genetic theory so the blossom colour in the second generation of a certain cross of sweet peas should be red or white in a 3:1 ratio. I.e. each plant has possibility 3/4 of having red blossoms and the blossom colours of separate plants are independent.

(a) Explain what is the probability that exactly 9 out of 12 of these plants have red blossoms?

(b) Explain what is the mean number of red-blossomed plants when 120 plants of this type' are grown from seeds?

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

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Basic Statistics: How to find the probability for normal approximation
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