MATH 1550H Midterm: MATH1550H-Test-Solutions (2)

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31 Jan 2019
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Legibly, please: if you have a question, ask it, use the back sides of the test sheets for rough work or extra space, you may use a calculator and an aid sheet, do any three (3) of a d. [12 = 3 4 each: the continuous random variable w has the density function f (t) = (cid:26) 1. What is the probability that each of the ve cards is of a di erent kind: a fair ve-sided die with faces numbered 1 to 5 is rolled twice. Let x be the sum of the faces that come up on the two rolls. 4 2 f (t) dt = z 2. If the books and dividers were all distinct, there would be (10 + 3)! Since the three dividers are indistiguishable, we have to divide this number by the number of ways one can arrange three distinct dividers, namely 3!