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Too Young to Tat Based on a Harris poll of 370 adults who
Chapter 5, Problem 17BSC(choose chapter or problem)
Problem 17BSC
Too Young to Tat Based on a Harris poll of 370 adults who regret getting tattoos, 20% say that they were too young when they got their tattoos.
a. For randomly selected groups of 370 adults who regret getting tattoos, find the mean and standard deviation for the number who say that they were too young when they got their tattoos.
b. For a randomly selected group of 370 adults who regret getting tattoos, would 90 be an unusually low or high number who say that they were too young when they got their tattoos?
Questions & Answers
QUESTION:
Problem 17BSC
Too Young to Tat Based on a Harris poll of 370 adults who regret getting tattoos, 20% say that they were too young when they got their tattoos.
a. For randomly selected groups of 370 adults who regret getting tattoos, find the mean and standard deviation for the number who say that they were too young when they got their tattoos.
b. For a randomly selected group of 370 adults who regret getting tattoos, would 90 be an unusually low or high number who say that they were too young when they got their tattoos?
ANSWER:Problem 17BSC
Answer:
Step1 of 2:
We have Based on a Harris poll of 370 adults who regret getting tattoos, 20% say that they were too young when they got their tattoos.
That is n = 370 and p =20% = 0.20
The mean and standard deviation for the number who say that they were too young when they got their tattoos is given by
Consider a random variable “x” follows binomial distribution with sample size “n” and proportion “p”.
i,e.X B(n, p)
Where,
n = 370 and p = 0.20.
q = 1 - p
= 1 - 0.20.
= 0.8
Probability mass function of binomial distribution is given by
P(x) = , x = 0,1,2,...,n.
With mean E(x) = np and variance var(x) = npq
Consider,