MATH 1550H Quiz: MATH1550H-Quizzes (1)
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[2: draw the complete tree diagram for this experiment. Consider the function f (t) = : sketch the graph of f (t). 0 otherwise: verify that f (t) is a probability density function. [10 minutes: the four cards a , a , a , and a are laid out for you in that order. You shu e the four cards and lay them out again in a random order. An otherwise fair seven-sided die has single faces labelled 1, 2, 4, and 5, respectively, and three faces labelled 3. The die is rolled once; let x be the number that comes up on the roll: compute the expected value, e(x), of x. Suppose that the continuous random variable x has the probability density function f (t) = (cid:26) 3. 4 (cid:0)1 t2(cid:1) 1 t 1 otherwise: compute the expected value, e(x), of x. [2. 5: compute the variance, v (x), of x.
