Based on a poll, among adults who regret getting tattoos, 23% say that they were

Question

Based on a poll, among adults who regret getting tattoos, 23% say that they were too young when they got their tattoos. Assume that 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.

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

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

Explanation / Answer

X ~ Binomial (n,p)

Where n = 4 , p = 0.23

Binomial probability distribution is

P(X) = nCx px (1-p)n-x

a)

P( X = 0) = 4C0 0.230 0.774

= 0.3515

b)

P( X = 1) = 4C1 0.231 0.773

= 0.4200

c)

P( X = 0 OR 1) = P( X = 0) + P( X = 1)

= 0.3515 + 0.4200

= 0.7715

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