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An instant lottery is played by buying a ticket and scratching off a coating to reveal whether or not you have won a prize, and

An "instant lottery" is played by buying a ticket and scratching off a coating to reveal whether or not you have won a prize, and if so, how much. Suppose an instant lottery pays $5 with probability 0.05 and $100 with probability 0.006. Otherwise, it pays nothing. DefineX= amount won for a single ticket. (You can ignore the cost of the ticket.)

Determine the probability distribution ofX.

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