Genetics When Mendel conducted his famous genetics experiments with peas, one sample of offspring consisted of 580 peas, with 428 of them having green pods. If we assume, as Mendel did, that under these circumstances, there is a 3>4 probability that a pea will have a green pod, we would expect that 435 of the peas would have green pods, so the result of 428 peas with green pods is fewer than expected. For the following, assume that the probability of a pea having a green pod is 3>4.
a. Find the probability that among the 580 offspring peas, exactly 428 of them have green pods.
b. The result of 428 peas with green pods is fewer than 3>4 of 580. Find the probability that among the 580 offspring peas, 428 or fewer have green pods. Is the result of 428 peas with green pods unusually low?
c. Which result is useful for determining whether Mendel’s claimed rate of 75% is incorrect: part (a) or part (b)? Explain.
d. Is there strong evidence to suggest that Mendel’s probability of 3>4 is wrong?