Question

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

Answer 1

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

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)=
`\frac{{1}{4}}^12`

= 5.96

Therefore, for at most 8 green pod

`{12}*\frac{{1}{4}}^11(3)/(4)^8`=

2.864