CBE- MATHEMATICS OF GAMESDELIVERABLE 2- Binomial Distribution AnalysisCompetencyThis competency will allow you to demonstrate your ability and skill in applying counting principles and analyzing binomial distributions.InstructionsYou have just been hired by G&B consulting and given your first assignment. A local independently wealthy citizen who happens to enjoy both gambling and baseball, but not math, has asked you to help him determine the likelihood of some different outcomes for the upcoming season.What to SubmitTo complete this assignment, you must first download the word document .Your step-by-step breakdown of the problems, including explanations, should be present within the word document provided. If you use Excel for any of your calculations that file must also be included in the drop box.Only 3 attempts allowed.Mastery• All problems are solved correctly.• Complete and detailed steps are provided to explain how to solve the problem• Explanations demonstrate a mastery of understanding of the concepts and terminology.• All mathematical expressions and any graphs or tables are properly formatted.Deliverable 02 – WorksheetYour client is going to be travelling to Las Vegas in the near future and he wants to place some bets on his favorite professional baseball team. To ensure he knows the odds on his bets he wants to know the probability of certain scenarios occurring.1. Knowing that the team has won an average of 95 games over the past three seasons and that there are 162 games in a season, estimate the probability of the team winning any single game in the upcoming season. 2. Using the information from number 1, determine the probability that the team will win exactly 100 games in the upcoming season. 3. Using the information from number 1, determine the probability of the team winning at least 100 games in the upcoming season. 4. Using the information from number 1, determine the probability of the team winning less than 100 games. 5. Working in parallel with you, a coworker found the probability of the team winning less than 100 games to be 80.96%. Do these results match yours? If not, identify the error that was made. 6. What assumptions must be made in this scenario that allow us to use a binomial distribution? What are some possible reasons why a binomial distribution may not accurately represent the scenario?
