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Problem 13, A Quiz game has 2 questions. The problem is: If the first question is answered correctly then the second question can be attempted. If the first answer is wrong, the game stops. Question 1 will be answered correctly with probability 0.8 with a prize of $100. Question 2 will be answered correctly with probability 0.5 with a prize of $200. Let Y = the amount of money won if Question 1 is attempted first Let Z= the amount of money won if Question 2 is attempted first a) Write the probability distribution of Y b) Find E[Y] ) Write the probability distribution of Z

Problem 13, A Quiz game has 2 questions. The problem is: If the first question is answered correctly then the second question can be attempted. If the first answer is wrong, the game stops. Question 1 will be answered correctly with probability 0.8 with a prize of $100. Question 2 will be answered correctly with probability 0.5 with a prize of $200. Let Y = the amount of money won if Question 1 is attempted first Let Z= the amount of money won if Question 2 is attempted first a) Write the probability distribution of Y b) Find E[Y] ) Write the probability distribution of Z

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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upper lim. Problem 13, A Quiz game has 2 questions. The problem is: which question to attempt first. If the first question is answered correctly then the second question can be attempted. If the first answer is wrong, the game stops. Question 1 will be answered correctly with probability 0.8 with a prize of $100. Question 2 will be answered correctly with probability 0.5 with a prize of $200. Let Y = the amount of money won if Question 1 is attempted first Let Z= the amount of money won if Question 2 is attempted first a) Write the probability distribution of Y b) Find E[Y] c) Write the probability distribution of Z d) Find E[Z] e) Which is greater, E[Y] or E[Z]? Bonus f) Assume we choose the first question at random. If the probability of picking Question 1 is 0.4, find E[X], where X Total amount of money won in the game. %3D
Transcribed Image Text:upper lim. Problem 13, A Quiz game has 2 questions. The problem is: which question to attempt first. If the first question is answered correctly then the second question can be attempted. If the first answer is wrong, the game stops. Question 1 will be answered correctly with probability 0.8 with a prize of $100. Question 2 will be answered correctly with probability 0.5 with a prize of $200. Let Y = the amount of money won if Question 1 is attempted first Let Z= the amount of money won if Question 2 is attempted first a) Write the probability distribution of Y b) Find E[Y] c) Write the probability distribution of Z d) Find E[Z] e) Which is greater, E[Y] or E[Z]? Bonus f) Assume we choose the first question at random. If the probability of picking Question 1 is 0.4, find E[X], where X Total amount of money won in the game. %3D
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