Question

Based on a​ poll, among adults who regret getting​ tattoos, 18​% say that they were too young when they got their tattoos. Assume that six adults who regret getting tattoos are randomly​ selected, and find the indicated probability. Complete parts​ (a) through​ (d) below. a. Find the probability that none of the selected adults say that they were too young to get tattoos. nothing ​(Round to four decimal places as​ needed.) b. Find the probability that exactly one of the selected adults says that he or she was too young to get tattoos. nothing ​(Round to four decimal places as​ needed.) c. Find the probability that the number of selected adults saying they were too young is 0 or 1. nothing ​(Round to four decimal places as​ needed.) d. If we randomly select six ​adults, is 1 a significantly low number who say that they were too young to get​ tattoos? ▼ Yes, No, because the probability that ▼ more than 1 at least 1 exactly 1 less than 1 at most 1 of the selected adults say that they were too young is ▼ greater than equal to less than 0.05.

Answer 1

We have here , n = 6 , p = 0.18

We can use here binomial probability distribution.

a) the probability that none of the selected adults say that they were too young to get tattoos.

P[X=0] = C(6,0)*(0.18)^0*(1-0.18)^6

=0.3040

b) the probability that exactly one of the selected adults says that he or she was too young to get tattoos.

P[X=1] = C(6,1)*(0.18)^1*(1-0.18)^5

=0.4004

c) the probability that the number of selected adults saying they were too young is 0 or 1

=P[X=0] + P[X=1] - {P[X=0]*P[X=1]}

=0.3040+0.4004-[0.3040*0.4004]

=0.7827

d)

P[X=1] = C(6,1)*(0.18)^1*(1-0.18)^5

=0.4004

Yes, because the probability that exactly 1 of the selected adults say that they were too young is less than 0.05.