As it st conducted a hybrid zation experiment using peas with green pods and yel

Question

As it st conducted a hybrid zation experiment using peas with green pods and yello pods peas were expected to have yellow pods Instead of getting 145 peas with yellow pods, he obtained 150. Assume that the rate a.Find the probability that among the 580 offspring peas, exactly 150 have yellow pods b.Find the probability that among the 580 offspring peas, at least 150 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? He crossed peas in such a way that 25% (or 145) of the 580 offspring of 25% is correct a. The probability that exactly 150 have yellow pods is Round to four decimal places as needed) b. The probablity that at least 150 have yellow pods is (Round to four decimal places as needed) c. is useful for determining whether the claimed rate is incorrect d. Is there strong evidence to suggest that the rate of 25% is incorrect? O No Yes

Explanation / Answer

here mean=np=0.25*580=145

and std deviation =(np(1-p))1/2 =10.43

a) P(X=150) =P(149.5<X<150.5)=P((149.5-145)/10.43<Z<(150.5-145)/10.43)=P(0.4315<Z<0.5274)

=0.7010-0.6669 =0.0341

b)P(X>=150)=1-P(X<=149)=1-P(Z<(149.5-145)/10.43)=1-P(Z<0.4315)=1-0.6670=0.3330

c)part B

d)No

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