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Category > Computer Science Posted 18 Sep 2017 My Price 8.00

Combination of Random Variables

Combination of Random Variables: Golf Norb and Gary are entered in a local

golf tournament. Both have played the local course many times. Their scores are

random variables with the following means and standard deviations.

Norb, x1 :μ1= 115; σ1= 12   Gary, x2 :μ2= 100; σ2= 8

In the tournament, Norb and Gary are not playing together, and we will assume their scores vary independently of each other.

(a) The difference between their scores is W = x1= x2. Compute the mean,variance, and standard deviation for the random variable W.

(b) The average of their scores is W = 0.5x1+ 0.5x2. Compute the mean, variance, and standard deviation for the random variable W.

(c) The tournament rules have a special handicap system for each player. For Norb, the handicap formula is L = 0.8x1- 2. Compute the mean, variance, and standard deviation for the random variable L.

(d) For Gary, the handicap formula is L = 0.95x2- 5. Compute the mean, variance, and standard deviation for the random variable L.

Answers

Maurice Tutor
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Status NEW Posted 18 Sep 2017 09:09 PM My Price 8.00

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