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Consider the following properties of a random experiment: 1. There are a fixed number of trials. Each trial results in either a success or a failure 2. Trials of the experiment are mutually independent 3. We count X the number of successes. 1. The probability of success p is the same on each trial 5. n must be large and p must be small. 6. We count X = the number of failures before we obtain a fixed number of successes 7. We sample without replacement 8. We count the number of events that occur in intervals of various lengths. List all of these these properties that are associated with each of the following. a. Binomial distribution: b. Negative Binomial distribution c. Hypergeometric distribution d. Poisson Process

Consider the following properties of a random experiment: 1. There are a fixed number of trials. Each trial results in either a success or a failure 2. Trials of the experiment are mutually independent 3. We count X the number of successes. 1. The probability of success p is the same on each trial 5. n must be large and p must be small. 6. We count X = the number of failures before we obtain a fixed number of successes 7. We sample without replacement 8. We count the number of events that occur in intervals of various lengths. List all of these these properties that are associated with each of the following. a. Binomial distribution: b. Negative Binomial distribution c. Hypergeometric distribution d. Poisson Process

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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[8 Consider the following properties of a random experiment: 1. There are a fixed number of trials. Each trial results in either a success or a failure 2. Trials of the experiment are mutually independent 3. We count X the number of successes. 1. The probability of success p is the same on each trial 5. n must be large and p must be small. 6. We count X the number of failures before we obtain a fixed number of successes 7. We sample without replacement 8. We count the number of events that occur in intervals of various lengths. List all of these these properties that are associated with each of the following. a. Binomial distribution: b. Negative Binomial distribution c. Hypergeometric distribution d. Poisson Process
Transcribed Image Text:[8 Consider the following properties of a random experiment: 1. There are a fixed number of trials. Each trial results in either a success or a failure 2. Trials of the experiment are mutually independent 3. We count X the number of successes. 1. The probability of success p is the same on each trial 5. n must be large and p must be small. 6. We count X the number of failures before we obtain a fixed number of successes 7. We sample without replacement 8. We count the number of events that occur in intervals of various lengths. List all of these these properties that are associated with each of the following. a. Binomial distribution: b. Negative Binomial distribution c. Hypergeometric distribution d. Poisson Process
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