Suppose that the prevalence of a certain type of tree allergy is 0.26 in the general population. If 100 people randomly chosen f rom this population are tested for this allergy, what is the probability that exactly 26 of them will have this allergy? Please write your answer as a decimal, precise to at least four decimal places.
2 answers:
Answer:
The probability that exactly 26 out of 100 randomly selected will have this allergy is P=0.0906.
Step-by-step explanation:
We can model this as a binomial distribution with parameters:
Size n=100
Probability p=0.26.
We can calculate the probability of getting a sample of exactly 26 positives as:
Answer:
0.0906
Step-by-step explanation:
Given that the prevalence of a certain type of tree allergy is 0.26 in the general population
X- the no of persons having tree allergy is binomial since each persons is independent of the other and there are two outcomes.
Here n = 100
Required probability = the probability that exactly 26 of them will have this allergy
=
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