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Unformatted text preview: d P (Y > 250X = 450).
(c) Find the probability that the government of Neverland spends more on guns than on
butter during a given month. That is, ﬁnd P (X > Y ).
(d) Find the probability that the government of Neverland exceeds the 700million spending limit during a given month. That is, ﬁnd P (X + Y > 700). STAT 420 Spring 2014: HW 1 1 University of Illinois Exercise 3
In Anytown, the price of a gallon of milk (X ) and the price of a package of Oreo cookies
(Y ) vary from day to day according to a bivariate normal distribution with
µX = $3.38, σX = $0.16, µY = $3.17, σY = $0.10, ρ = 0.50 (a) Find the probability that the price of a package of Oreo cookies is above $3.33. That
is, ﬁnd P (Y > 3.33).
(b) Find the probability that the pri...
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 Spring '08
 Stepanov
 Statistics, Standard Deviation

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