STATISTC 515 Midterm: STAT 515 UMass Amherst STAT515Fall2015Mid2Soln

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31 Jan 2019
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In problems that require reasoning, algebraic calculation, or the use of your graphing calculator, it is not su cient just to write the answers. Suppose there is a room with 35 people in it, nd the probability that at least two people have the same birthday. (b) a fair coin is tossed 9 times. What is the probability that: exactly 3 heads appear, at least two heads appear, suppose that 2 dice thrown are thrown and the number, n, of dots showing is noted. Then suppose n coins are tossed, what is the expected value of the number of heads: (a) a quiz cosists of 10 multiple-choice questions of equal weight, each with 4 possible an- swers. For someone who makes random guesses for all of the answers, nd the probability of passing if the minimum passing grade is 70 %. (b) a fair die is rolled 10 times.