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7.A scientist conducted a hybridization experiment using peas with green pods and yellow pods. He crossed...

7.A scientist conducted a hybridization experiment using peas with green pods and yellow pods. He crossed peas in such a way that​ 25% (or 139​) of the 556 offspring peas were expected to have yellow pods. Instead of getting 139 peas with yellow​ pods, he obtained 144. Assume that the rate of​ 25% is correct.

a. Find the probability that among the 556 offspring​ peas, exactly 144

have yellow pods.

b. Find the probability that among the 556 offspring​ peas, at least 144 have yellow pods.

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

d. Is there strong evidence to suggest that the rate of​ 25% is​ incorrect?

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