MATH 2030 Midterm: MATH 2030 mt2solb

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Instructions: (1) you have 50 minutes to complete this exam. (2) there are 4 questions on 6 pages, worth a total of 100 points. If you run out of room, use the back of the page. (3) you may use calculators and may refer to a formula sheet (a letter-size sheet with writing on either side). You may not refer to other notes, books, or use wireless internet devices. (4) show your work, and explain or justify your solutions if possible. You may leave numerical answers unsimpli ed. (5) a table of the normal cdf is included. When using it, you may use the closest table value rather than interpolating: a random variable x has density function f (x) = x < 0. 0, c + x, 0 < x < 1. 0, x > 1. (a) [5] find c. (b) [10] find the cumulative distribution function of x. (c) [10] find e[x].