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Sagot :
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
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
[tex]\sqrt{npq}[/tex]so,
[tex]\begin{gathered} S.D=\sqrt{20\times0.75\times0.25} \\ S.D=\sqrt{3.75} \\ S.D=1.93649167\approx1.94 \end{gathered}[/tex]Final Answer
Hence , the standard deviation for the number of peas with green pods in the group of 20 is 1.94
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