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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
(a) Find P (− < X < ).
(b) Find the number c such that P (X < c) =
(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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