Suppose that the prevalence of a certain type of tree allergy is 0.26 in the general population. If 100 people randomly chosen from 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.

Answer:0.0906Step-by-step explanation:Given that the prevalence of a certain type of tree allergy is 0.26 in the general populationX- the no of persons having tree allergy is binomial since each persons is independent of the other and there are two outcomes.Here n = 100Required probability = the probability that exactly 26 of them will have this allergy=[tex]P(x=26)=100C26(0.26)^{26} (1-0,26)^{100-26}\\ =0.09063\\=0.0906[/tex]