Question
Ten 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 10 offspring peas, at least 9 have green pods. Is it unusual to get at least 9 peas with green pods when 10 offspring peas are generated? Why or why not? The probability that at least 9 of the 10 offspring peas have green pods is (Round to three decimal places as needed ) Is it unusual to randomly select 10 peas and find that at least 9 of them have a green pod? Note that a small probability is one that is less than 0 05
Explanation / Answer
This is a case of binomial distribution where n=10 and p is 0.75.
a) We need P(x>=9)=1-(P(x=10)) =1-10C10*(0.75)^10=1-0.9437=0.0563
b) The probability is more than 0.05 thus B