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EXAM P QUESTIONS OF THE WEEK
S. Broverman, 2006
Week of January 16/06
An econometric study of the population of the island of Falkvinas has found income disparities
between those who have a university degree and those who do not. A Falkvinian who is chosen
at random from all Falkvinians with a university degree has an annual income that is normally
distributed with a mean of
80,000 BA (the Falkvinian currency is the BritArg) and a standard
deviation of 20,000 BA. A Falkvinian who is chosen at random from all Falkvinians without a
university degree has an annual income that is normally distributed with a mean of
100,000 BA
(the Falkvinian currency is the BritArg) and a standard deviation of 40,000 BA. Suppose that
Cedric is a randomly chosen Falkvinian with a university degree and Juan is a randomly chosen
Falkvinian without a university degree. Find the probability that Juan's annual income is at least
30,000 BA greater than Cedric's annual income.
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