MATH 1550H Midterm: MATH1550H-Test1-Solutions

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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 two (2) of a c. [10 = 2 5 each: a fair coin is tossed ve times. What is the probability that at least four tails will come up: compute p (x 1) if the random variable x has the probability density function. 0 x < 1 or x > 1: suppose that a and b are events in some sample space, with p (a) = p (b) = 1. Suppose a is the event that at least four tails come up in ve tosses of a fair coin. Then a = { ht t t t, t ht t t, t t ht t, t t t ht, t t t t h, t t t t t }, so,