Question

Seven 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 probability that among the 7 offspring​ peas, no more than 1 has a green pod. Is it unusual to get no more than 1 pea with a green pod when 7 offspring peas are​ generated? Why or why​ not?

The probability that no more than 1 of the 7 offspring peas has a green pod is ____________

Is it unusual to randomly select 7 peas and find that atleast 6 of them have a green pod? Note that a small probability is one that is less than 0.5.

Answer 1

Binomial Distribution

n = 7

p = 0.75

q =1 - p = 0.25

(a)

To find P(X1) = P(X=0) + P(X=1)

So,

P(X1) = 0.001343

So,

Answer is:

0.001343

(b)

To find P(X6):

P(X6) = P(X=6) + P(X=7)

So,

P(X6) = 0.4450

Since probability value = 0.4450, which is less than 0.5, we conclude:

It is unusual to randomly select 7 peas and find that at least 6 of them have a green pod.