There are 4 quarters and 2 dimes and 1 nickel in a coin pouch. Two coins are selected at random. If XX assigns the total value in cents of the coins to each outcome, how many distinct values does X take? Find the probability density function of X (Note: Please write the values of X in ascending order!).

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Q: The joint probability density function of the random variables x and y is as follows?

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…