I just need help solving these parts of the problem step by step and the answer. ### Raffle Ticket ProblemDuring a fund-raising drive, 500 raffle tickets are sold at $1 each. The prizes are distributed as follows:- **First Prize:** 1 ticket will win $20.- **Second Prize:** 3 tickets will win $10 each.- **Third Prize:** 10 tickets will win $5 each.Each person buys only one ticket, and let $ x $ represent a ticket buyer's net winnings.**Tasks:**(a) Find the probability distribution of $ x $.(b) Find the probability that a ticket buyer wins no more than $10.(c) Find the mean of $ x $. Interpret the answer in plain language.

Answered: Image /qna-images/answer/aae29d44-2a43-4706-a479-be17a643f61b.jpg

Answered: (a) (b) (c) Find the probability…

(a) (b) (c) Find the probability distribution of xr. Find the probability that a ticket buyer wins no more than $10. Find the mean ofx. Interpret the answer in plain language.

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...

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Question

I just need help solving these parts of the problem step by step and the answer.

### Raffle Ticket Problem

During a fund-raising drive, 500 raffle tickets are sold at $1 each. The prizes are distributed as follows:

- **First Prize:** 1 ticket will win $20.
- **Second Prize:** 3 tickets will win $10 each.
- **Third Prize:** 10 tickets will win $5 each.

Each person buys only one ticket, and let $ x $ represent a ticket buyer's net winnings.

**Tasks:**

(a) Find the probability distribution of $ x $.

(b) Find the probability that a ticket buyer wins no more than $10.

(c) Find the mean of $ x $. Interpret the answer in plain language.

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