When Mendel conducted his famous hybridization experiments, he used peas with green pods and yellow pods. One experiment involved crossing peas in such a way that 25% (or 145) of the 580 offspring peas were expected to have yellow pods. Instead of getting 145 peas with yellow pods, he obtained 152. Assume that Mendel’s 25% rate is correct.

a. Find the probability that among the 580 offspring peas, exactly 152 have yellow pods.

b. Find the probability that among the 580 offspring peas, at least 152 have yellow pods.

c. Which result is useful for determining whether Mendel’s claimed rate of 25% is incorrect? (Part (a) or part (b)?)

d. Is there strong evidence to suggest that Mendel’s rate of 25% is incorrect?