Variance of discrete probability distribution
[DOC File]Chapters 5 and 6
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b. Is the random variable discrete or continuous? c. Develop a probability distribution for the above data. d. Is the above a proper probability distribution? e. Develop a cumulative probability distribution. f. Determine the expected number of daily sales of diskettes. g. Determine the variance and the standard deviation. h. If each diskette ...
[DOC File]Chapter 5 (Special Discrete Probability distributions)
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The Hypergeometric distribution mean & variance. Ex 5.13 (Acceptance sampling of lots) Binomial Distribution. Properties of the Bernoulli process. n repeated trials. only 2 outcomes of experiment (success or failure) Prob(Success) = p is constant from one trial to the other . Repeated trials are independent. That is, P(1st and 2nd) = P(1st)P(2nd) Meaning of the random variable X. X = the ...
[DOC File]Chapter 2 Descriptive Statistics
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Properties of a Discrete Probability Distribution P(x) The Mean, or Expected Value, of a Discrete Random Variable The Variance and standard deviation of a discrete random variable The Binomial Distribution The Mean, Variance, and Standard Deviation of a Binomial Random Variable The Poisson Distribution The Mean, Variance, and Standard Deviation of a Poisson Random Variable The …
[DOC File]Chapter 3: Discrete Random Variables and Their Probability ...
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From this result, the variance of the hypergeometric distribution can also be calculated. 46 Chapter 3: Discrete Random Variables and Their Probability Distributions Instructor’s Solutions Manual. Chapter 3: Discrete Random Variables and Their Probability Distributions 45
[DOC File]6 - THU
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Let be the expected value of X. Then, the variance of the discrete random variable X is . Note: As the grouped data available are . with frequencies , respectively, i.e., with relative frequencies , the variance of the data, considered as the population, is . where Example 1: The probability distribution function for a discrete random variable X is . where k is some constant. Please find (a) k ...
[DOCX File]Assignment 2 - Random Variables and Discrete Probability ...
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Assignment 2 - Random Variables and Discrete Probability Distributions. Question 1. Compute the mean and variance of the following discrete probability distribution. (Round your answers to 2 decimal places.) X: P (X) 0.2. 1.4. 2.3. 3.1 Question 2. In a binomial situation, n = 4 and p = 0.21. Determine the probabilities of the following events using the binomial formula. (Round the final ...
[DOC File]CHAPTER FIVE
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a. probability distribution. b. random variance. c. random variable. d. expected value. e. None of the above answers is correct. 7. Which of the following is(are) required condition(s) for a discrete probability function? a. (f(x) = 0. b. f(x) ( 1 for all values of x. c. f(x) < 0. d. both a and b are correct. e. None of the above answers is correct. 8. A measure of the average value of a ...
[DOC File]Calculating Probability - Department of Statistics
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Probability Distribution of a discrete random variable (§5.4, §1.3) Mean and Variance of a discrete random variable (§5.4, §2.1, §2.2) -----Random Variable (r.v.) A . random variable . is a real-valued variable whose value depends on the outcome of an experiment. Ex. Toss a coin twice, S={HH, HT, TH, TT } We can define a r.v. x = # of heads. It takes 0, 1, 2. three different values. Ex ...
[DOC File]RANDOM VARIABLES: probability distributions, means, variances
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Discrete example: Consider a bag of 5 balls numbered 3,3,4,9, and 11. Take a ball out at random and note the number and call it X, X is a random variable. Let’s complete the probability distribution of X. X 3 4 9 11 P(X) Lets also make a graph of the values of X (imagine the balls are now cubes with base 1 and we stack them as follows). Note that if the heights are changed to probabilities ...
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