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Probability and Statistics
Algebra 2
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Experimental Probability
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Experimental Probability
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Experimental v. Theoretical Probability
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To find the Expected Value of an event, multiply the number of trials by the theoretical probability of the event.
If you flip a coin 80 times, how many heads would you expect to get?
80 flips * (.5 probability of a head)
Expected Outcomes
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A permutation is an arrangement of items in a particular order.
The multiplication counting rule states that the number of ways to choose n items is:
The number of ways to choose 4 items is
This process of multiplying is called a factorial and is indicated with an !
Permutations and Combinations
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Permutations and Combinations
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Permutations and Combinations
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Permutations and Combinations For permutations, the order of the events is
important (first, second, third place) If order is not important, then you calculate
combinations instead.
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Permutations and Combinations
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Permutations and Combinations
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Probability of Multiple Events
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Probability of Multiple Events
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Probability of Multiple Events
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Probability of Multiple Events
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Probability of Multiple Events
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Probability of Multiple Events
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Probability of Multiple Events
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Probability of Multiple Events
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12-1 Probability Distributions
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12-1 Probability Distributions
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12-1 Probability Distributions
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12-1 Probability Distributions
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12-1 Probability Distributions
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12-2 Conditional Probability
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12-2 Conditional Probability
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12-2 Conditional Probability
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12-2 Conditional Probability
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12-2 Conditional Probability
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12-2 Conditional Probability
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12-2 Conditional Probability
Find P(heavy snow and school is open)Find P(school is open, given heavy snow)
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On 28% of days, the sky is mostly clear. On mostly clear days, it rains 4% of the
time. On cloudy days, it rained 31% of the time.
Construct a tree diagram. Find the probability that it rains on a day
when it is mostly clear.
Tree Diagrams
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12-3 Analyzing Data
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12-3 Analyzing Data
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12-3 Analyzing Data
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12-3 Analyzing Data
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12-3 Analyzing Data
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12-3 Analyzing Data
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12-3 Analyzing Data
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Find the outlier
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12-4 Standard Deviation
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12-4 Standard Deviation
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12-4 Standard Deviation
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12-4 Standard Deviation
F• Find the z score for a value of 97• Find the z score for a value of 67
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12-3 Analyzing Data