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Chapter 9 Binomial Distribution

Chapter 9 Binomial Distribution. James A. Van Slyke Azusa Pacific University . Binomial Distribution . 5 Conditions that need to be met: 1. There is a series of N trials 2. For each trial there are only two possible outcomes 3. For each trial, the two outcomes are mutually exclusive .

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Chapter 9 Binomial Distribution

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  1. Chapter 9 Binomial Distribution James A. Van Slyke Azusa Pacific University

  2. Binomial Distribution • 5 Conditions that need to be met: • 1. There is a series of N trials • 2. For each trial there are only two possible outcomes • 3. For each trial, the two outcomes are mutually exclusive

  3. Binomial Distribution • 5 Conditions that need to be met: • 4. Independence between the outcomes of each trial • 5. The probability for each outcome, stays the same from trial to trial • Informs us of the probability of getting an outcome based on N

  4. Example: Flipping a Coin • Each flip is a particular trial • Only 2 possible outcomes • Mutually exclusive – only a head or tail can occur • Independent – outcome of one flip doesn’t affect any other flips

  5. Example: Flipping a Coin

  6. Binomial Expansion • Equation for basic aspects of probability • Each letter represents an event • Each exponent tells the number of that kind of event

  7. Binomial Distribution • The distribution may be given for any N, P and Q • The distribution is symmetrical • As N increases, the distribution approximates a normal curve

  8. Binomial Table • Table shows the results for the binomial expansion • Solved for various values of N, P, and Q • Solved for various numbers of P or Q events • The table can be used with P or Q

  9. Homework • 2, 3, 4, 5, 8, 9, 16

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