An individual who has automobile insurance from a certain company is randomly selected. Let Y be the number of moving violations for which the individual was cited during the last 3 years. The pmf of Y is the following. 0 1 2 3 y p(v) 0.50 0.25 0.20 0.05 (a) Compute E(Y). E(Y) =| (b) Suppose an individual with Y violations incurs a surcharge of $110Y². Calculate the expected amount of the surcharge.

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...
icon
Related questions
Question
An individual who has automobile insurance from a certain company is randomly selected. Let Y be the number of moving violations for
which the individual was cited during the last 3 years. The pmf of Y is the following.
1
2
3
y
p(v)
0.50
0.25
0.20
0.05
(a) Compute E(Y).
E(Y) =
(b) Suppose an individual with Y violations incurs a surcharge of $110Y². Calculate the expected amount of the surcharge.
24
Transcribed Image Text:An individual who has automobile insurance from a certain company is randomly selected. Let Y be the number of moving violations for which the individual was cited during the last 3 years. The pmf of Y is the following. 1 2 3 y p(v) 0.50 0.25 0.20 0.05 (a) Compute E(Y). E(Y) = (b) Suppose an individual with Y violations incurs a surcharge of $110Y². Calculate the expected amount of the surcharge. 24
Expert Solution
Step 1

(a)

 

Obtain the value of E(Y)

 

The value of E(Y) is obtained below as follows:

 

From the information, given that

 

Probability homework question answer, step 1, image 1

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON