A scientist conducted hybridization experiment using peas with green pods and ye

Question

A scientist conducted hybridization experiment using peas with green pods and yellow pods. He crossed pods in such a way that 25% (or 138) of the 552 offspring peas were expected to have yellow pods. Instead of 138 peas with yellow pods, he obtained 142.Assumethat the rate of 25% is correct. Find the probability that among the 552 offspring peas, exactly 142 have yellow pods. Find the probability that among the 552 offspring peas, at least 142 have yellow pods. Which result is useful for determining whether the claimed rate of incorrect? (Pat (a) or part (b)?) Is there strong evidence to suggest that the rate of 25% is incorrect? The probability that exactly 142 have yellow pods is ___. (Round to four decimal places as needed.) b. The probability that at least 142 have yellow pods is ___. (Round to four decimal places as needed.) ____ is useful for determining whether the claimed rate is incorrect. Is there strong evidence to suggest that the rate of 25% is incorrect? Yes No

Explanation / Answer

here mean =np=552*0.25=138

and std deviation =(np(1-p))1/2 =10.1735

a)P(X=142)=P(141.5<Z<142.5)=P((141.5-138)/10.1735<Z<(142.5-138)/10.1735)=P(0.3440<Z<0.4423)

=0.6709-0.6346=0.0363

b)P(X>=142)=1-P(Z<(141.5-138)/10.1735)=1-P(Z<0.3440)=1-0.6346=0.3654

c)part B is useful for determining....

d)No

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