Question

Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.75 probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of 20.a. Find the standard deviation for the numbers of peas with green pods in the groups of 20

Answer 1

Given

Probability that a pea has green pods = 0.75

Sample of the offspring peas , n = 20

Find

Standard deviation for the numbers of peas with green pods in the groups of 20

Step-by-step explanation

as we have given ,

Probability that a pea has green pods , p = 0.75

Probability that a pea do not have green pods , q = 1 - 0.75 = 0.25

n = 20

in binomial distribution ,

standard deviation is given by

`√(npq)`

so,

`\begin{gathered} S.D=√(20*0.75*0.25) \\ S.D=√(3.75) \\ S.D=1.93649167\approx1.94 \end{gathered}`

Final Answer

Hence , the standard deviation for the number of peas with green pods in the group of 20 is 1.94