Consider a Baseball World Series (best of 7 game series) in which team A theoretically has a 0.55 chance of winning each game against team B. Simulate the probability that team A would win a World Series against team B by simulating 1000 World Series. Use R to conduct simulation. Present your results either as a histogram of simulated probabilities, or a plot of probability of Team A winning versus count of simulated World Series.
Added by Amanda A.
Step 1
55 chance of winning each game against team B. ** Show more…
Show all steps
Close
Your feedback will help us improve your experience
Thuc Nguyen and 82 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A hockey team has a $75 \%$ chance of winning against the opposing team in each game of a playoff series. To win the series, the team must be the first to win 4 games. a. Design a simulation for this event. b. What counts as a successful outcome in your simulation? c. Estimate the probability using your simulation.
Probability and Sampling
More about Sampling Variability
In the baseball World Series, two teams play games until one team or the other wins four times. Suppose team A should win each game with probability 0.6. The probabilities for team A's record (given as wins/losses) in the World Series are shown. Find the probability of each event indicated below. $$\begin{array}{|l|l|l|l|l|} \hline \text { Wins/losses } & 0 / 4 & 1 / 4 & 2 / 4 & 3 / 4 \\ \hline \text { Probability } & 0.0256 & 0.0615 & 0.0922 & 0.1106 \\ \hline \end{array}$$ $$\begin{array}{|l|l|l|l|l|} \hline \text { Winshosses } & 4 / 3 & 4 / 2 & 4 / 1 & 4 / 0 \\ \hline \text { Probability } & 0.1659 & 0.2073 & 0.2073 & 0.1296 \\ \hline \end{array}$$ (a) Team A wins the World Serics (b) Team B wins the World Series (c) One team wins all four games (d) The teams play six or seven games
Applications of the Definite Integral
Probability
Develop a simulation using a TI- $83 / 84$ Plus calculator, Statdisk, Minitab, Excel, or any other suitable calculator or computer software program. Simulating the Shaq Refer to Exercise $7,$ which required a description of a simulated free throw by basketball player Shaquille O'Neal. a. Repeat the simulation five times and record the number of times that the free throw was made. Is the percentage of successful free throws from the simulation reasonably close to the value of $0.527 ?$ b. Repeat part (a) until it has been conducted a total of 10 times. Record the proportion of successful free throws in each case. Based on the results, would it be unlikely for Shaquille O'Neal to make all of five free throws in a game?
Probabilities Through Simulations
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD