rv X and Y have a joint Gaussian distribution ~ N(µ =[0.5,1.6], Σa. Where is the centroid of the distribution, i.e., (X,Y) coordinates?b. Are X and Y independent? Explain why or why not=C.What is the standard deviation of X, σx?[0.5 0.2)]10.2 0.3.d. In the covariance matrix, if 0.5 increased to 1.5, what would happen to the distribution?e.What is cov(X,Y)?f.Sketch the approximate shape of this distribution

a. Centroid of the DistributionIn a joint Gaussian distribution, the centroid corresponds to the…

Answered: rv X and Y have a joint Gaussian…

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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A CI is desired for the true average stray-load loss u (watts) for a certain type of induction motor when the line current is held at 10 amps for a speed of 1500 rpm. Assume that stray-load loss is normally distributed with a = 3.1. (Round your answers to two decimal places.) Compute a 95% CI for u when n = 25 and x = 57.5. ) watts Compute a 95% CI for u when n = 100 and x = 57.5. ) watts Compute a 99% CI for u when n = 100 and x= 57.5. watts Compute an 82% CI for u when n = 100 and x = 57.5. watts ) How large must n be if the width of the 99% interval for u is to be 1.0? (Round your answer up to the nearest whole number.)
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In a weekend morning, 5 cars of different brands were parked in a car park withtwenty parking lots that were arranged in a line. Calculate the(i) possible arrangements in the car park(ii) probability that the cars are not all next to each other.
A CI is desired for the true average stray-load loss ? (watts) for a certain type of induction motor when the line current is held at 10 amps for a speed of 1500 rpm. Assume that stray-load loss is normally distributed with ? = 2.1. (Round your answers to two decimal places.)
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