MATH 1550H Midterm: MATH1550H-Test2-1pg
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[10 = 2 5 each: a fair standard die is rolled until either 1 or 2 comes up. E(y ) and variance v (y ) of the random variable y that counts the number of rolls that occur in this experiment: verify that f (x) = . 0 x 0 x 0 is a valid density function: a fair coin is tossed three times. The random variable u counts how many tails came up in the three tosses and the random variable v counts how many heads came up on the second of the three tosses. Determine whether u and v are independent or not: do any two (2) of a c. [10 = 2 5 each: find the expected value e(w ) and variance v (w ) of the continuous random variable. W that has as its density function h(w) = (cid:26) 3.
