12 peas are generated from parents having the green/yellow pair of genes, so there is a 0.75 probability that an individual pea will have a green pod. Find the probility that the number of peas that has a green pod is at most 8

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Answer:

The probability that the number of peas is at most 8 is 2.864

Step-by-step explanation:

The probability of any child having a green pod is 1\4=0.25

To have 12 peas with no pods it will have to occur 12 times.

So, we will raise it ti the 12th power,

Pno(green)= [tex]\frac{{1}{4}}^12[/tex]

                  = 5.96

Therefore, for at most 8 green pod

[tex]{12}\times\frac{{1}{4}}^11\frac{3}{4}^8[/tex]=

2.864