Question
Question 14.1. Consider tossing a fair coin 3 times. The sample space would be: ={, , HTH, THH, HTT, THT, TTH, TTT} Let X
Question 14.1. Consider tossing a fair coin 3 times. The sample space would be: ={, , HTH, THH, HTT, THT, TTH, TTT} Let X represent the number of heads obtained. Calculate the corresponding probability density function x = (P(X = 0), P(X = 1), P(X = 2), P(X = 3))" Calculate the corresponding cummulative density function F. Use the PDF as well as the CDF to calculate P(X 1). Question 14.2. A fair six-sided die is tossed once. You win $2 if the result is a "1", you win $1 if the result is a "6" but otherwise you loose $1. Write down the probability density function for the random variable X = amount of money won or lost. Calculate the mean and the variance of X.
Step by Step Solution
There are 3 Steps involved in it
Step: 1
![blur-text-image](https://dsd5zvtm8ll6.cloudfront.net/includes/images/document_product_info/blur-text-image.webp)
Get Instant Access with AI-Powered Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
![blur-text-image](https://dsd5zvtm8ll6.cloudfront.net/includes/images/document_product_info/blur-subtext-image.webp)
Step: 3
![blur-text-image](https://dsd5zvtm8ll6.cloudfront.net/includes/images/document_product_info/blur-subtext-image.webp)
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started