Consider a discrete random variable X with a pmf given byi)ii)iii)iv)p(x) =(ex², if x = 1,2,3,40, otherwise.Determine the value of c.Find the cdf of X, i.e. F(t) = P(X ≤ t) for all real t.Draw a graph of cdf of X.Find the population mean and the variance of X.

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Answered: Consider a discrete random variable X…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A transect is an archaeological study area that is 1/5 mile wide and 1 mile long. A site in a transect is the location of a significant archaeological find. Let x represent the number of sites per transect. In a section of Chaco Canyon, a large number of transects showed that x has a population variance ?2 = 42.3. In a different section of Chaco Canyon, a random sample of 21 transects gave a sample variance s2 = 49.3 for the number of sites per transect. Use a 5% level of significance to test the claim that the variance in the new section is greater than 42.3................

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Consider a discrete random variable X with a pmf given by i) ii) iv) p(x) = cx2, if x = 1,2,3,4 0, otherwise. Determine the value of c. Find the cdf of X, i.e. F(t) = P(X ≤t) for all real t. Draw a graph of cdf of X. Find the population mean and the variance of X.