Statistics Problem Solving

A contestant who selects either of the two doors with a goat behind it and then switches will always get the car.

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Switching raised that probability to two in three that you'll select a car.

Said another way: A player whose strategy is to always switch will only lose when the door they initially selected has a car behind it.

That means that the probability that two people in the office share a birthday is 1 -- 0.4927 = 0.5073, or 50.7%.

A gambler has a certain amount of money ("B") and is playing a game of chance with some win probability less than 1.

We've selected five classic problems solved in unconventional ways that can help one get a new way to understand the way that data can be misleading and the story on the surface can take people in the wrong direction.(1) THE MONTY HALL PROBLEMSay you're on a game show where there are three doors. Then, you have the option of either staying with your door or switching to the last unopened door. ANSWER: SWITCH This is actually based on a real game show, and the result has been the source of controversy for years.

Essentially, when you first made the selection, you had a one in three chance of correctly selecting the door that had a car behind it.You will become increasingly familiar with this process as you investigate different statistical problems.Think of a general question that could be answered with statistics.Now think carefully about the four steps listed above.How would you carry out each step in order to answer your question? In this video segment, group members use the data they collected to answer their statistical question.Data must be organized, summarized, and represented properly in order to provide good answers to statistical questions.Also, the data you collect usually vary (i.e., they are not all the same), and you will need to account for the sources of this variation.The entire class then discusses related questions suggested by the collected data. What additional questions would you ask based on this group's data?If you're using a VCR, you can find this segment on the session video approximately 8 minutes and 11 seconds after the Annenberg Media logo.Even more, consider the ante in a game of poker, which is a similar system designed to accelerate a winner.Abraham is tasked with reviewing damaged planes coming back from sorties over Germany in the Second World War.


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