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Asked Oct 30, 2019
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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)
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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)

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Step 1

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

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Step 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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