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Category > Management Posted 09 Jul 2017 My Price 12.00

Combination of Random Variables

 

16.      Text Box: Ranplett /iStockphoto.comCombination 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 : m1 = 115; s1 = 12                Gary, x2 : m2 = 100; s2 = 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, vari- ance, 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.

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Maurice Tutor
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Status NEW Posted 09 Jul 2017 04:07 PM My Price 12.00

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