You pay 10 dollars to pick two numbers, with replacement, between 1 and 1000 at random. If the numbers are the same, you win 100 dollars. If not, you win nothing. IfXis the amount of money gain, find the probability density function forX.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 9E
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You pay 10 dollars to pick two numbers, with replacement, between 1 and 1000 at random. If the numbers are the same, you win 100 dollars. If not, you win nothing. IfXis the amount of money gain, find the probability density function forX.

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