math 218 fall 2003 final

C you are driving along the highway and have seen no

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Unformatted text preview: tween consecutive sightings of mountain goats? (c) You are driving along the highway and have seen no mountain goats in the last 6km. What is the probability that you pass the next mountain goat between 1km and 3km down the road? (d) What is the probability that you pass exactly 2 mountain goats in the next 5km? 2 Problem 5. Suppose that the probability density function of a random variable X is 1 2 (x + 1), if −1 ≤ x ≤ 0 f (x) = − x + 1 , if 0 ≤ x ≤ 3 6 2 0 elsewhere 1 1 (a) Find P (− < X < ). 2 2 1 . (b) Find the number c such that P (X < c) = 16 (c) Given that the expected value of X is equal to 2/3, ﬁnd the variance of X . Problem 6. (a)...
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This note was uploaded on 01/11/2010 for the course MATH 218 taught by Professor Haskell during the Fall '06 term at USC.

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