practice 8 solution

practice 8 solution - Practice#8 Solutions EOQ BUAD311...

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Practice #8 Solutions EOQ BUAD311 – Operations Management Fall 2009 Hiroshi Ochiumi 1) This is a probability mass function. Fill in the blank Probability 0.2 0.1 0.15 0.17 0.3 0.08 Value 1 2 3 4 5 6 2) Compute the expected value of random variable X X 10 11 12 13 14 15 Probability 0.1 0.1 0.1 0.2 0.3 0.2 10*0.1 + 11*0.1 + … + 15*0.2 = 13.1 3) Random variable X is normally distributed with mean 0 and standard deviation 1. Compute the following probabilities. a. Pr(X<0) 0.5 b. Pr(X<0.52) 0.6985 c. Pr(X<1) 0.8413 4) Random variable X is normally distributed with mean 10 and standard deviation 2. Compute the following probabilities. a. Pr(X<10) 0.5 b. Pr(X<11.04) 0.6985 c. Pr(X<12) 0.8413 5) Random variables X and Y are both normally distributed with mean 100 and standard deviation 4. It is known that random variable X+Y is also a normal distribution. a. What is the mean of X+Y? 200 b. What is the standard deviation of X+Y? 66 . 5 4 2
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practice 8 solution - Practice#8 Solutions EOQ BUAD311...

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