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

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 8CC: (a) An experiment has two outcomes, "success" and "failure„" where the probability of success" is p....
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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
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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