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Mathematics, 14.04.2020 16:00 leannamat2106

The probability distribution of the number of students absent on Mondays, is as follows: X 0 1 2 3 4 5 6 7 f(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=7X+3 . (e) Compute the covariance Cov(X, Y) (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=β0+β1X ?

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The probability distribution of the number of students absent on Mondays, is as follows: X 0 1 2 3 4...

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