Researchers believe that 7% of children have a gene that may be linked to a certain childhood disease.In an effort to track 50 of these children,researchers test 950 newborns for the presence of this gene.What is the probability that they do not find enough subjects for their study?
A)0.9821
B)0.0179
C)0.0358
D)0.2117
E)0.9581

Question

Quizplus · Accepted Answer

The probability of a newborn having the gene associated with the childhood disease is 0.07. Therefore, the probability of a newborn not having the gene is 0.93.

To find the probability that out of 950 newborns, they do not find enough subjects for their study, we need to calculate the probability of having 50 or fewer newborns with the gene.

Using the binomial distribution formula, we can calculate this probability as:

P(X ≤ 50) = Σ (50,950,p) = 0.0179

Therefore, the probability of not finding enough subjects for their study is 0.0179 or 1.79%.

Option B is the correct answer.

Researchers Believe That 7% of Children Have a Gene That