X 17.1.36-T Question Help It is believed that 4% of children have a gene that ma
ID: 3181322 • Letter: X
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X 17.1.36-T Question Help It is believed that 4% of children have a gene that maybe linked to juvenile diabetes. Researchers at a firm would like to test new monitoring equipment for diabetes. Hoping to have 23 children with the gene for their study, the researchers test 731 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. Poenough subjects) (Round to three decimal places as needed O B. The conditions for finding the probability are not satisfied.Explanation / Answer
1. This is an example of binomial distribution as it satisfies conditions as below:
1: The number of observations n is fixed. Here it is 731
2: Each observation is independent. Yes they are
3: Each observation represents one of two outcomes ("success" or "failure"). Here linked or not linked
4: The probability of "success" p is the same for each outcome. Here it is 0.04
No we need to find P(enough subjects)=P(x=23)=ncxp^x(1-p)^n-x
P(x=23)=731c23*(0.04)^23*(1-0.04)^731-23=0.0399
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