Applicant 1: Juanita is a 44-year-old woman who has never had a traffic citation. She is in
Question:
Applicant 1: Juanita is a 44-year-old woman who has never had a traffic citation. She is in excellent health. There is no question that she will qualify for auto insurance through the company. The question, that the company will determine, is how much her monthly payment will be for insuring her 2012 Nissan Sentra.
Applicant 2: Juan is a 21-year-old man who has had two speeding ticket citations. He is in excellent health. He is being considered for an auto insurance policy through his father’s insurance company.
The Actuarial Analyst studies the following charts to determine each of their risk factors.
Number of Claims Over $1000 Per Year
16 – 24 yrs. | 25 – 40 yrs. | 41 – 56 yrs. | 57 – 72 yrs. | 73 years + | Total Number of Claims Over $1000 Per Year | Total Number of People Holding Policies | |
Number of Females with Traffic Infraction Record | 64 | 50 | 41 | 35 | 40 | 230 | 700 |
Number of Females with No Infraction History | 8 | 6 | 5 | 5 | 3 | 27 | 120 |
Number of Males with Infraction History | 72 | 56 | 44 | 33 | 38 | 243 | 690 |
Number of Males with No Infraction History | 5 | 7 | 7 | 5 | 4 | 28 | 100 |
Total in Each Age Group Making Claims | 149 | 119 | 97 | 78 | 85 | 528 | |
Total in Each Age Group Holding Policies | 300 | 344 | 320 | 324 | 322 | 1610 |
Questions for The Actuarial Analyst:
What is the probability that Juanita, according to the data, will have an accident and/or a claim, over $1000, within a year, based on her being a female, between 41 and 56 years of age, with no infraction history?
Statistics for Psychology
ISBN: 978-0205258154
6th edition
Authors: Arthur Aron, Elaine N. Aron, Elliot J. Coups