It is believed that 44% of children have a gene that may be linked to juvenile d

Question

It is believed that

44%

of children have a gene that may be linked to juvenile diabetes. Researchers at a firm would like to test new monitoring equipment for diabetes. Hoping to have

2121

children with the gene for their study, the researchers test

734734

newborns for the presence of the gene linked to diabetes. What is the probability that they find enough subjects for their study?

What is the probability? Select the correct answer below and, if necessary, fill in the answer box to complete your choice.

A.

P(enough

subjects)equals=

nothing

(Round to three decimal places as needed.)

B.

The conditions for finding the probability ar

Explanation / Answer

here expected numebr of children in 734 =np=734*0.04=29.36

and std deviaiton =sqrt(np(1-p))=5.309

hence from normal approximation and continuity correction"

P(enough subejects)=P(X>=21 )=1-P(X<Z(20.5-29.36)/5.309)=1-P(Z<-1.67)=1-0.047 =0.953

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