Question

Based on a​ poll, among adults who regret getting​ tattoos, 16 16​% say that they were too young when they got their tattoos. Assume that four four 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. ​(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. ​(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. ​(Round to four decimal places as​ needed.)

d. If we randomly select four four ​adults, is 1 a significantly low number who say that they were too young to get​ tattoos? No, because the probability that at most 1 of the selected adults say that they were too young is greater than 0.05.

Answer 1

(a)

n = 4

p = 0.16

q = 1 - p = 0.84

Binomial Distribution

(b)

(c)

P(X = 0 OR X = 1) = P(X = 0) + P(X = 1) = 0.4979 + 0.3973 = 0.8772

(d)

Correct option:
No, because the probability that at most 1 of the selected adults say that they were too young is grater than 0.05.