Your favorite band is going to release a new album. Their music is great, but to

Question

Your favorite band is going to release a new album. Their music is great, but to uncultured listeners, such as everybody you know, they sound like high-pitched noises. There will be only 2000 copies available to purchase and each comes with a unique serial number from 1 to 2000 that is randomly assigned. It is not possible to tell the number of an album without opening the package. Let X be the serial number of the album you are about to purchase. Determine the pmf of X Inside a bag are 5 otherwise identical marbles numbered 1 to 5. 3 marbles are simultaneously drawn from the bag and let X denote the largest number on the 3 marbles. (a) Determine X's pmf. (b) Verify it is indeed a pmf.

Explanation / Answer

1) this function is unitformly distributed

P(X) = 1 / 2000 for X belongs to [1, 2000]

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