# Probability And Statistics Solved Problems

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.

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.

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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.

Topics in probability include discrete and continuous random variables, probability distributions, sums and functions of random variables, the law of large numbers, and the central limit theorem.

Topics in statistics include sample mean and variance, estimating distributions, correlation, regression, and hypothesis testing.

To access the book you must be visiting this website from the campus network.

Or if you are off campus, you can access it using VPN.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.When B= 00 and N=4, for example, he'll gamble 0 each time going forward. If our gambler sounds like something of an idiot, know that this is actually a rather common betting strategy.Casinos also endorse it by ensuring that players are stocked with mostly high denominational chips as they go on winning streaks in order to encourage higher bets.He has to review the damage of the planes to see which areas must be protected even more.Abraham finds that the fuselage and fuel system of returned planes are much more likely to be damaged by bullets or flak than the engines. ANSWER: PROTECT THE PARTS THAT DON'T HAVE DAMAGE Abraham Wald, a member of the Statistical Research Group at the time, saw this problem and made an unconventional suggestion that saved countless lives.If you choose to create a pdf, I strongly suggest using Latex. Our editors will review what you’ve submitted and determine whether to revise the article.Even a rudimentary look at probability can give new insights about how to interpret data.Simple thought experiments an can give new insight into the different ways misunderstanding of statistics can distort the way we perceive the world. The host says that once you pick a door, he'll open one of the doors you didn't pick to reveal a goat.

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