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

Six 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 6 offspring​ peas, no more than no more than 1 has ahas a green pod. Is it unusual to get no more than no more than 1 pea with a green pod when 6 offspring peas are​ generated? Why or why​ not?

Math   Statistics-And-Probability   
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Answer #1

Let X be number of peas has a green pod. Then X ~ Binomial (n = 6, p = 0.75)

Probability that among the 6 offspring​ peas, no more than no more than 1 has ahas a green pod = P(X 1)

= P(X = 0) + P(X = 1)

= 6C0 * 0.750 * (1 - 0.75)6-0 +  6C1 * 0.751 * (1 - 0.75)6-1

= 0.0002441406 + 0.004394531

= 0.004638672

Since the probability that among the 6 offspring​ peas, no more than no more than 1 has ahas a green pod is very low (less than 0.01), it is unusual to get no more than no more than 1 pea with a green pod when 6 offspring peas are​ generated.

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