A safe is randomly assigned a four-digit code. The company selling the safe sponsors a contest whereby contestants pick four digits (0 through 9) to make a 4-digit code. If the code opens the safe, the contestant wins $400$400. Otherwise, the contestant wins nothing. Let XX be the random variable defined by the amount of money a contestant wins by picking one code. How many distinct values of XX are there?   Find the probability density function of XX (Note: Please write the values of XX in ascending order!).

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A safe is randomly assigned a four-digit code. The company selling the safe sponsors a contest whereby contestants pick four digits (0 through 9) to make a 4-digit code. If the code opens the safe, the contestant wins $400$400. Otherwise, the contestant wins nothing. Let XX be the random variable defined by the amount of money a contestant wins by picking one code. How many distinct values of XX are there?

 

Find the probability density function of XX (Note: Please write the values of XX in ascending order!).

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