The probability distribution of the number of students absent on Mondays, is as follows:X O1234567f(x) 0.02 0.03 0.26 0.34 0.22 0.08 0.04 0.01(a) What is the probability that more than 3 students are absent.(b) Compute the expected value of the random variable X. Interpret this expected value.(c) Compute the variance and standard deviation of the random variable X.(d) Compute the expected value and variance of Y :(e) Compute the covariance Cov(X, Y)= 7X+ 3.(f) What is the value of the ratio Cov(X,Y)/Var(X) ?(g) What is the value of Cov(X, Y)/Var(X) for Y = ß0 + ß₁X ?(For this exrcise, you can use excel. No need to show all calculations, just specify the formulas and present the final values.)(a)(b)(c)(d)(e)(f)(g)

(a) The probability that more than 3 students are absent:P(X > 3) = P(X = 4) + P(X = 5) + P(X =…

Answered: The probability distribution of the…

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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