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E2 - King Fahd University of Petroleum and Minerals

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STAT 211 Business Statistics I – Term 093<br />

2<br />

Question One (2+2+3+3 =10 points)<br />

The following table is a partial probability distribution for AlBilad’s total projected returns on its old<br />

investment ventures (X = pr<strong>of</strong>it in SR 1000s) for the year 2005 where the negative value denotes<br />

a projected loss.<br />

X −100 0 50 100 150 250<br />

P(x) 0.1 0.2 0.25 0.30 0.1<br />

a. What is the correct value for P(X = 250)<br />

b. What is the probability that AlBilad’s 2005 investments will be pr<strong>of</strong>itable<br />

c. What is the expected amount <strong>of</strong> returns for AlBilad’s investments<br />

d. Let Y = 0.8 X – 30. Find the expected value for Y

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