The table shows claims and their probabilities for an insurance company. Amount of claim (to the nearest $20,000) Probability $0 0.70 $20,000 0.16 $40,000 0.07 $60,000 0.04 $80,000 0.02 $100,000 0.01 a. Calculate the expected value? b. How much should the company charge as an average premium so that it breaks even on its claim costs? c. How much should the company charge to make a profit of $50 per policy?
The table shows claims and their probabilities for an insurance company. Amount of claim (to the nearest $20,000) Probability $0 0.70 $20,000 0.16 $40,000 0.07 $60,000 0.04 $80,000 0.02 $100,000 0.01 a. Calculate the expected value? b. How much should the company charge as an average premium so that it breaks even on its claim costs? c. How much should the company charge to make a profit of $50 per policy?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Question
The table shows claims and their probabilities for an insurance company.
Amount of claim
(to the nearest $20,000)
|
Probability
|
---|---|
$0
|
0.70
|
$20,000
|
0.16
|
$40,000
|
0.07
|
$60,000
|
0.04
|
$80,000
|
0.02
|
$100,000
|
0.01
|
a. Calculate the
b. How much should the company charge as an average premium so that it breaks even on its claim costs?
c. How much should the company charge to make a profit of $50 per policy?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 2 images
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON