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Statistics

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ch. 5 statistics

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The sum of the probabilities of all events in a sample space adds up to 1. (Each probability is between 0-1) Mean, Variance, Standard Deviation, and expectation Mean: Variance: O=1.7 expected value: Binomial experiment must follow: two possible outcomes, fixed # o? trials , outcomes of each trial indep. Of each other, probability of success must remain the same P The probability of success q The probability of failure 1 ? p = q n The number of trials x The number of successes x: 0,1,2,3,4? x successes in n trials is out of 10 people 3 visited doctor: binomial distribution
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ch 4 statistics

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Classical Probability: The compliment of (E) = is the set of all numbers not included in the outcomes of event E (compliment of rolling a 4 on a die is 1,2,3,5,6) Empirical Probability: (50 people surveyed with 21 with blood type o, what?s the probability that someone has blood type o? 21/50 subjective probability: uses a probability based on and educated guess or estimate (weather forecasting, sports predictions) -two events are mutually exclusive when they cannot occur at the same time Conditional Probability: The probability that B will occur given that A has occurred already. (probability of not finding a spot .20 probability of getting a ticket .06) Independent events: the fact that A occurring does not affect the probability of B occurring.

AP Statistics review

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A jar contains black and white marbles. Two marbles are chosen without replacement. The probability of selecting a black marble and then a white marble is 0.34, and the probability of selecting a black marble on the first draw is 0.47. What is the probability of selecting a white marble on the second draw, given that the first marble drawn was black? Solution: P(White|Black) ??=?? P(Black and White) ??=?? 0.34 ??=?? 0.72 ??=?? 72% ?? P(black) The probability that it is Friday and that a student is absent is 0.03. Since there are 5 school days in a week, the probability that it is Friday is 0.2. What is the probability that a student is absent given that today is Friday? Solution:?? P(Absent|Friday) ??=?? P(Friday and Absent) ??=?? 0.03 ??=?? 0.15 ??=??

AP Statistics review

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A jar contains black and white marbles. Two marbles are chosen without replacement. The probability of selecting a black marble and then a white marble is 0.34, and the probability of selecting a black marble on the first draw is 0.47. What is the probability of selecting a white marble on the second draw, given that the first marble drawn was black? Solution: P(White|Black) ??=?? P(Black and White) ??=?? 0.34 ??=?? 0.72 ??=?? 72% ?? P(black) The probability that it is Friday and that a student is absent is 0.03. Since there are 5 school days in a week, the probability that it is Friday is 0.2. What is the probability that a student is absent given that today is Friday? Solution:?? P(Absent|Friday) ??=?? P(Friday and Absent) ??=?? 0.03 ??=?? 0.15 ??=??

test 10

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