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Unformatted text preview: donors, 3% of whom are actually infected with HIV. Given that an individual tests positive, what is the probability that the person is actually infected with HIV? 3. A random variable has p. d. f. f defined by (and zero elsewhere). a. Find the mean of X . b. Find the median of X . c. Find the c. d. f. of X . 4. Suppose a random variable has p. d. f. f defined by Find the p. d. f. of the random variable . 5. A pair of random variables X and Y have joint p. d. f. Find the conditional expectation E ( Y | X ). Hint: You may find the following integral formula helpful Up: Stat 5101 Charles Geyer 1999-10-29...
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- Spring '02
- Probability theory, P. D. F.