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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 Fall '06
 Haskell
 Math, Normal Distribution, Probability, Variance, Probability theory, probability density function

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