The random variable X, representing the number of errors per 100 lines ofsoftware code, has the following probability distribution.Xf(x)20.25The variance is30.340.450.01Use the following theorem to determine the variance of the random variable X.The variance of a random variable X is o² = E (X²) - μ².60.04(Round to two decimal places as needed.) Let X be a random variable with the following probability distribution:Xf(x)- 20.630.3Find the standard deviation of X.50.1The standard deviation is (Round to two decimal places as needed.)

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Answered: The random variable X, representing the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Carboxyhemoglobin is formed when hemoglobin is exposed to carbon monoxide. Heavy smokers tend to have a high percentage of carboxyhemoglobin in their blood.t Let x be a random variable representing percentage of carboxyhemoglobin in the blood. For a person who is a regular heavy smoker, x has a distribution that is approximately normal. A random sample of n = 12 blood tests given to a heavy smoker gave the following results (percent carboxyhemoglobin in the blood). Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value a small amount and thereby produce a slightly more "conservative" answer. 9.1 9.8 10.4 9.8 11.3 12.2 11.6 10.3 8.9 9.7 13.4 9.9 (a) Use your calculator to calculate x and s. (Round your answers to four decimal places.) X = S = (b) A long-term population mean u = 10% is considered a health risk. However, a long-term population mean above 10% is considered a…
it is multichoice, thank you!
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%
A random variable X has a binomial distribution with q = 0.34 and a sample size of n. Find the mean and variance for the random variable Y which is defined below. Y = nX Mean: __________________ Variance: __________________
Consider a random sample X1,..., X, with n > 3 from the exponential distribution with parameter ) > 0 and density 1 f(x; A) = x > 0. Consider the following two estimators of X: 3 1 ΣΧ, Ã = nX(1). 3 i=1
Let x be a Poisson random variable. Calculate the probability distribution of x for the given 2. Find the mean, variance, and standard deviation. Draw a graph of this probability distribution. 2 = 2.1 Round the probability to four decimal places and the standard deviation to three decimal places. P(x = 2) = i Mean = i Variance = i Standard deviation = i P(x) P(x) 0.25 0.8 0.20 0.6 0.15 04 0.10 0.2 0.05 O1 2 3 4 O1 2 3 4 567S 10 10 Fig. 1 Fig. 2 P(x) P(x) 0.35E 0.30 0.15 0.25 0.20 0.1아 0.15 0.10 0.05 0.05 O 1 23 4 56TS 9 10 10 Fig. 3 Fig. 4 Input the number of the correct graph.
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…

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