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Social Science1. There are n candidates for a job. They are ranked as 1,2,. , n. Let the r.v. Xcandidate with pmfthe rank of a randomly chosenz)1/n,0,1,2,3,.n.OtherwiseDetermine E(X) and V(X)
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1. There are n candidates for a job. They are ranked as 1,2,. , n. Let the r.v. X candidate with pmf the rank of a randomly chosen z)1/n, 0, 1,2,3,.n. Otherwise Determine E(X) and V(X)
Expert Answer
Solution:
1.The expected value of X is obtained below:
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E(3) -ΣΡ(s) 1 Σ. η [1+2+3+... + η| η n(n+1) 1 =-X 2 п n1 2
1.The E(x2) is obtained below:
...
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E()-ΣΥΡ (3) -Σr1 п Hr.ε. 1 I2 +2 +.n п 1n(n1)(2n 1) --x 6 η (n 1)(2n 1) 6
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