SixSix peas are generated from parents having the green/yellow pair of genes, so

Question

SixSix

peas are generated from parents having the green/yellow pair of genes, so there is a

0.750.75

probability that an individual pea will have a green pod. Find the probability that among the

66

offspring peas,

at leastat least

55

havehave

green

pods.pods.

Is it unusual to get

at leastat least

55

peaspeas

with

greengreen

podspods

when

66

offspring peas are generated? Why or why not?

The probability that

at leastat least

55

of the

66

offspring peas

havehave

green

podspods

is

.

(Round to three decimal places as needed.)

and simplify

Explanation / Answer

There is 0.75 is the probability that pea will have a green pod.

p = 0.75, n = 66

This is binomial distribution problem,
As per binomial distribution,
P(X=r) = nCr * p^r * (1-p)^(n-r)

P(X >= 55) = P(X = 55) + .... + P(X = 66)
= 0.0389

It is unusual to have atleast 55 peas with green pods.
Because the probability is 0.0389

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