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math 218 fall 2003 final

# Find p u 9 3 b assume y is normally distributed with

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Unformatted text preview: Let U be a normally distributed random variable with mean 10 and variance 4. Find P (|U − 9| > 3). (b) Assume Y is normally distributed with E (Y ) = 20 and P (18 < Y < 22) = 0.34. Find the standard deviation. (c) X is a normal random variable with mean 15 and standard deviation 1.5. Let X be the mean of a random sample of size 4. Find P (14 < X < 17). Problem 7. In a big city, let X denote the number of movie rentals per household in a week, and Y denote the number of video game rentals per household in a week. The joint distribution of X (movie rentals) and Y (video game rentals) is given below. X 0 2 3 0 0.02 0.03 0.04 0.01 1 0.06 0.15 0.25 0.14 2 Y 1 0.02 0.12 0.11 0.05 (a) Find the exact probability that the total number...
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