# MAT 3172CBE Rasmussen College Binomial Distribution Analysis Worksheet

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Deliverable 02 – Worksheet
Your 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 85 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 90 games in the upcoming season.
3. Using the information from number 1, determine the probability of the team winning at
least 90 games in the upcoming season.
4. Using the information from number 1, determine the probability of the team winning
less than 90 games.
5. Working in parallel with you, a coworker found the probability of the team winning less
than 90 games to be 80.64%. Do these results match yours? If not, identify the error
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?

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6 Questions

Tags:
Binomial Theorem

Binomial Distribution

The Mathematics of Games

probability estimate

winning probability

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