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stat 120

# stat 120 - QM120_2S01 Second Exam QM 120 Spring 2001/2002...

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QM120_2S01 : بلاطلا مسا ____________________________________________________ ةداملا ذاتسأ : __________________________ : بلاطلا مقر ____________________________________________________ : اههههتقو وأ ةبعهههشلا مهههقر __________________________ Second Exam – QM 120 - Spring 2001/2002 Question (1): A small drug store ordered copies of a news magazine for its magazine rack each week. Let X be a random variable that represents the demand for the magazine, with the following probability mass (density) function: X 1 2 3 4 5 6 o/w P(X=x) 1/15 2/15 3/15 4/15 3/15 2/15 0 (a) What is the expected demand for the magazine, its variance and its standard deviation? (b) What is the probability that the demand exceeds 4 magazines? ________________________________________________________________________________________________________________________________________________________________________________________________________________ (c) What is the probability that the demand is at most 3 magazines? ________________________________________________________________________________________________________________________________________________________________________________________________________________ (d) What is the probability that the demand is greater than 2 and less than 5 magazine? ________________________________________________________________________________________________________________________________________________________________________________________________________________ (e) Form the probability cumulative distribution function? X < 1 1 2 3 4 5 6 > 6 F(X) Page: 1

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QM120_2S01 Page: 2
QM120_2S01 Question (2) : An investor has a portfolio of stock investments in Banks (B) and in Industrial (I) shares. He has

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