Question

Based on a​ poll, among adults who regret getting​ tattoos, 1212​% say that they were too young when they got their tattoos. Assume that ninenine adults who regret getting tattoos are randomly​ selected, and find the indicated probability.

Answer 1

0.3165

Explanation:

This is a binomial distribution problem

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = number of adults sampled = 9

x = Number of successes required = number of selected adults that say they were too young to get tattoos = 0

p = probability of success = probability of an adult that regrets getting a tattoo saying they were too young to get the tattoo = 12% = 0.12

q = probability of failure = 1 - p = 1 - 0.12 = 0.88

P(X=0) = ⁹C₀ (0.12)⁰ (0.88)⁹⁻⁰

P(X=0) = 0.31647838183 = 0.3165

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