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probability-1

# probability-1 - -Uniformly Distributed Random Variables...

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Review of Probability Probability is a statement about the population , not individuals in the population. P(A)=the proportion of times that A occurs if the random experiment is run many times . There are several rules, found on your yellow card, including:

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Probability Rules
Probability Rules

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Probability Rules Venn Diagrams from: http://www.cs.uni.edu/~campbell/stat/venn.html
Other Points Using a two-way table can help answer conditional probability questions. The total probability of the sample space is 1. This can be helpful to check your tree diagram or two-way table.

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Probability Questions What is the smallest a probability can be? What is the largest a probability can be? Are “independent” events and “disjoint” events the same?
Random Variables We have studied several types of random variables: - Discrete Random Variables - Binomial Random Variables - Normally Distributed Random Variables

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Unformatted text preview: -Uniformly Distributed Random Variables Discrete Random Variables These variables take discrete values, and no values in between. These are often summarized in table form. To find the expected value, multiply each possible value by its probability, and add all the resulting numbers. Useful fact to remember: Total probability of all possibilities must equal 1. Binomial Random Variables Binomial experiments meet the following criteria:-There are n trials. This number is determined in advance.-There are two possible outcomes for each trial, often called “success” and “failure.”-The outcomes are independent from one trial to the next.-The probability (p) of a success remains the same from one trial to the next. A binomial random variable is defined as X where X=# of successes in n trials of a binomial experiment....
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