Consider rolling a 6-sided die. The outcome of interest is the number of dots that appears on the top side when the die stops rolling. The possible outcomes are 1, 2, 3, 4, 5 & 6. Suppose we play the following game. Roll the 6-sided die, you are rewarded a dollar amount equal to the number of dots on the topside of the die when it comes to rest. Suppose the die is fair (each side is equally likely). Define the random variable X to be the amount you are rewarded after one roll. X = dollar amount rewarded after one roll Answer the following questions: What are the possible values the random variable, X, can take on? Explicitly write out the probability mass function (pmf) for the random variable X. Write out explicitly the cumulative distribution function (cdf) for the random variable X. What is the ‘typical’ amount awarded when playing this game? How much does the amount awarded vary around the value obtained in part (4)?
Consider rolling a 6-sided die. The outcome of interest is the number of dots that appears on the top side when the die stops rolling. The possible outcomes are 1, 2, 3, 4, 5 & 6. Suppose we play the following game. Roll the 6-sided die, you are rewarded a dollar amount equal to the number of dots on the topside of the die when it comes to rest. Suppose the die is fair (each side is equally likely). Define the random variable X to be the amount you are rewarded after one roll. X = dollar amount rewarded after one roll Answer the following questions: What are the possible values the random variable, X, can take on? Explicitly write out the probability mass function (pmf) for the random variable X. Write out explicitly the cumulative distribution function (cdf) for the random variable X. What is the ‘typical’ amount awarded when playing this game? How much does the amount awarded vary around the value obtained in part (4)?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter0: Preparing For Algebra
Section: Chapter Questions
Problem 64PRT
Related questions
Question
Consider rolling a 6-sided die. The outcome of interest is the number of dots that appears on the top side when the die stops rolling. The possible outcomes are 1, 2, 3, 4, 5 & 6.
Suppose we play the following game. Roll the 6-sided die, you are rewarded a dollar amount equal to the number of dots on the topside of the die when it comes to rest. Suppose the die is fair (each side is equally likely).
Define the random variable X to be the amount you are rewarded after one roll.
X = dollar amount rewarded after one roll
Answer the following questions:
- What are the possible values the random variable, X, can take on?
- Explicitly write out the
probability massfunction (pmf) for the random variable X. - Write out explicitly the cumulative distribution function (cdf) for the random variable X.
- What is the ‘typical’ amount awarded when playing this game?
- How much does the amount awarded vary around the value obtained in part (4)?
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