According to genetic theory, the blossom color in the second generation of a cer

Question

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 mean number of red-blossomed plants when 55 plants of this type are grown from seeds? equation editor Equation Editor (b) What is the standard deviation of white-blossomed plants when 55 plants of this type are grown from seeds?

Explanation / Answer

a) as probabilty of rd blossomed plant =3/4=0.75

hence from binomial distribution mean =np=55*3/4=41.25

b)standard deviation of white-blossomed plants =(np(1-p))1/2  where p=1/4 =0.25

=3.2113

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