Question 1134698: ) Ten peas are generated from parents having the green/yellow pair of genes so there is a 75% probability that an individual pea will have a green pod. Find the probability that
among the 10 offspring peas, no more than 5 have green pods.
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! Use the binomial probability formula
:
Probability (P) (k successes in n trials) = nCk * p^k * (1-p)^(n-k), p is individual probability, nCk = n!/(k! * (n-k)!)
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For this problem, k = 0, 1, 2, 3, 4, 5 and p = 0.75
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P (no more than 5 have green pods out of 10 offspring) = P(k=0, n=10) + P(k=1, n=10) + P(k=2, n=10) + P(k=3, n=10) + P(k=4, n=10) + P(k=5, n=10) = 0.0781
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