Answered step by step
Verified Expert Solution
Question
1 Approved Answer
You are to roll a fair die n = 108 times, each time observing if the topside of the die shows a 6 (success) or
You are to roll a fair die n = 108 times, each time observing if the topside of the die shows a 6 (success) or not (failure). After observing the n = 108 tosses. you are to count the number of times the topside showed a 6. This count is represented by the random variable X. (a) The distribution of X ? c . with a mean E and a standard deviation Enter your answer using all the decimals you can. (b) Now think about the proportion of your 11 = 108 tosses that show a six. What can you say about the distribution of this proportion? Complete the sentence, Enter your answer using all the decimals you can. The distribution of if ? c with a mean up = E and a standard deviation of: l (c) What is the probability that the proportion/percentage of your n = 108 tosses that show a six will be somewhere between 13% and 22%? Enter your answer using all the decimals you can. i (d) After the n = 108 tosses of the die, you observe X = 24, the value of the sample proportion is then 5 = % = 0.2222. What is the probability of observing a sample proportion that is at least this much should you decide to roll this die again 108 times? Enter your answer using all the decimals you can
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started