The random variable X, representing the number of errors per 100 lines of software code, has the following probability distribution:40.010.250.40.30.04Find the variance of X.Answer.Jump to...

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Answered: The random variable X, representing the…

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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Suppose that for a given computer salesperson, the probability distribution of x = the number of systems sold in one week is given by the following table. X p(x) 1 2 0.04 0.10 3 4 0.13 0.30 5 0.31 6 7 (a) Find the mean value of x (the mean number of systems sold). 8 0.10 0.01 0.01 (b) Find the variance and standard deviation of x. (Round your standard deviation to four decimal places.) variance standard deviation How would you interpret these values? (Round your standard deviation to four decimal places.) The mean squared deviation from the mean number of systems sold in one week is A typical deviation from the mean number of systems sold in one week is (c) What is the probability that the number of systems sold is within 1 standard deviation of its mean value? (d) What is the probability that the number of systems sold is more than 2 standard deviations from the mean?
Suppose that for a particular computer salesperson, the probability distribution of x = the number of systems sold in 1 month is given by the following table. X p(x) (c) 1 0.03 0.08 (b) Find the variance of x. 19.72 2 3 X 4 5 (a) Find the mean value of x (the mean number of systems sold). 4.24 6 7 8 0.14 0.30 0.30 0.13 0.01 0.01 Find the standard deviation of x. (Round your answer to four decimal places.) 1.7424 How would you interpret these values? The variance of x is the mean squared deviation of the number of systems sold in a month from the mean number of systems sold in a month. The standard deviation of x is the typical deviation of the number of systems sold in a month from the mean number of systems sold in a month. What is the probability that the number of systems sold is within 1 standard deviation of its mean value? 0.74 (d) What is the probability that the number of systems sold is more than 2 standard deviations from the mean?
What is the Discrete Variable Variance for the following numbers:x = 0 and P(X = x) = 0.19x = 1 and P(X = x) = 0.27x = 2 and P(X = x) = 0.21x = 3 and P(X = x) = 0.33
Let X be a random variable with mean u= E(X) = 10.33 and variance o = 12.81. Determine: E{10- E 10- 4
2. Let X - tp. Verify the mean and variance formulas. (Hint: Let X = p/2UV-1/2.)
Find the approximate mean and variance of Y = √X, where X is a randomvariable following a Poisson distribution.
Trying to find variance. his equation is Prob(x)*[x-e(x)]^2. Just need an example to get me started.Original question is: A call center recieves an average of 10 calls per hour. Assuming the number of calls received follows the poisson distribution, determine the probability of each of the discrete outcomes below. Then calculate the variance component for each one using the standard formula for the variance of a discrete random variable. At the end, take the sum of both columns. Table: Poisson Distribution Table Calls Density Variance 0 0.00% 1 0.05% 2 0.23% 3 0.76% 4 1.89% 5 3.78% 6 6.31% 7 9.01% 8 11.26% 9 12.51% 10 12.51% 11 11.37% 12 9.48% 13 7.29% 14 5.21% 15 3.47% 16 2.17% 17 1.28% 18 0.71% 19 0.37% 20 0.19% 21 0.09% 22 0.04% 23 0.02% 24 0.01% 25 0.00% 26 0.00% 27 0.00% 28 0.00% 29 0.00% 30 0.00% Sum 100.00%
Q1.2 Mean of X A medical practice collects data on its patients with respect to several personal habits. The following table gives the distribution of the number of alcoholic drinks consumed per day in that population of patients. X = # of drinks per day Probability Save Answer Q1.3 Variance of X X = # of drinks per day Probability 0 0.38 Find the mean for this random variable, that is find ux. Show your work in the space below. Save Answer A medical practice collects data on its patients with respect to several personal habits. The following table gives the distribution of the number of alcoholic drinks consumed per day in that population of patients. 0 0.38 Q1.4 Standard Deviation of X X = # of drinks per day Probability 1 0.32 0 0.38 1 0.32 2 0.25 Find the variance for this random variable, that is find (ox)². Only show the first and last term of the work required. 1 2 0.25 A medical practice collects data on its patients with respect to several personal habits. The following table…
Suppose that for a given computer salesperson, the probability distribution of x = the number of systems sold in one week is given by the following table. x 1 p(x) 2 3 4 5 0.06 0.10 (a) Find the mean value of x (the mean number of systems sold). 0.11 0.30 6 7 8 0.29 0.12 0.01 0.01 (b) Find the variance and standard deviation of x. (Round your standard deviation to four decimal places.) variance standard deviation How would you interpret these values? (Round your standard deviation to four decimal places.) The mean squared deviation from the mean number of systems sold in one week is A typical deviation from the mean number of systems sold in one week is (c) What is the probability that the number of systems sold is within 1 standard deviation of its mean value? (d) What is the probability that the number of systems sold is more than 2 standard deviations from the mean?

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The random variable X, representing the number of errors per 100 lines of software code, has the following probability distribution: Tot 4 3 0.25 f(T) 0.01 0.4 0.3 0.04 Find the variance of X.