MATH SOLVE

3 months ago

Q:
# Based on a Harris poll, among adults who regret getting tattoos, 20% say that they were too young when they got their tattoos. If we randomly select five adults, is 1 a significantly low number who say that they were too young to get tattoos?

Accepted Solution

A:

Answer: No. It is notStep-by-step explanation:From question we were given:Percentage of people who regret getting a tattoo= 20% = 0.20.From binomial P (X =x) = {n! × p^x × ( 1- p)^ n-x} ÷ {x! × ( n- x)!}From addition rule of mutually exclusive events. We have : P( A or B) = P (A) + P(B)Solving the binomial probability using x = 0.1P ( x = 0) = {5! × 0.20^0 × ( 1- 0.20) ^ 5 - 0)} ÷ { 0! ( 5 - 0)!} = 0.3277P ( x = 1) = {5! × 0.20^1 × ( 1- 0.20) ^ 5 - 1)} ÷ { 1! ( 5 - 1)!} = 0.4096Using addition rule for mutually exclusive eventP = P( x= 0) + P ( x = 1) = 0.3277+ 0.4096P = 0.7373The probability is greater than 0.05, the event likely to occur thus 1 is not low outcome.