3) Based on a Harris poll, among adults who regret getting tattoos, 20% say that

Question

3) Based on a Harris poll, among adults who regret getting tattoos, 20% say that they were too young when they got their tattoos. Assume that 10 adults who regret getting tattoos are randomly selected. a) Why can r, the number of adults who say they were too young when they got their tattoos, be considered a binomial random variable? b) What is the probability that all of the adults say they were too young? What is the most likely number of adults who say they were too young to be found? d) Which number(s) of adults who say they were too young are unlikely to be obtained in the selection?

Explanation / Answer

a. Since there are two outcomes - saying they were too young or they were not - x can be considered a binomial variable.

b. Probability that a person say they are young p = 0.2

Number of people n = 10

Probability that all say they are young = (0.2)10 = 0.0000001024.

c. Most likely number of people = n*p = 0.2*10 = 5.

d. Since the probability is least for all 10 people saying they were too young, the number is 10.

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