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QUESTION

A box contains a penny, two nickels, and a dime.

A box contains a penny, two nickels, and a dime. If two coins are selected randomly from the box, without replacement, and if X is the sum of the values of the two coins,

a)    What is the probability distribution table of X?

b)    What is the cumulative distribution function F(x) of X? 

Could I please get a detailed solution on how to complete this question? Thank you.

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