Unformatted text preview: bets on all the positions divisible by 3. a. What is the probability that the person will win exactly 3 times in 8 attempts? (2 pts) b. What is the probability that the person will win 3 or more times in 8 attempts? (4 pts) Express both of your solutions as three signiﬁcant digit decimals. 4. Consider a discrete r.v. X with P ( X = x ) = p ( x ) = 1 / 2 n , for all positive integers n = 1 , 2 ,.... a. Write the cdf F X ( x ) ,∞ < x < ∞ , of this r.v. (2 pts) b. Sketch F X ( x ) ,∞ < x < ∞ , and label all points of interest. (1 pt) c. Write the pdf f X ( x ) ,∞ < x < ∞ , of this r.v. (2 pts) d. Sketch f X ( x ) ,∞ < x < ∞ , and label all points of interest. (1 pt) e. What is the smallest x satisfying P ( X ≤ x ) = 15 / 16? (1 pt) f. What is the largest x satisfying P ( X ≤ x ) = 15 / 16? (1 pt)...
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 Spring '08
 LORENZELLI
 Conditional Probability, Probability, Probability theory, pts

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