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n a game of throw the dice, it costs 15 pebbles to throw once. If you...

n a game of throw the dice, it costs 15 pebbles to throw once. If you throw a 6, you get 20 pebbles, if you throw a 4 or a 5, you get 15 pebbles, and if you throw a 1, 2, or 3, you get 10 pebbles. Let X denote the net winning of pebbles after one throw of the dice. Show all work with equations

a) What is the probability that your net winning of one throw is positive (i.e. that you actually gain pebbles)?

b) Give the probability mass function of the net winning of one throw.

c) Compute the expected value of net winning of one throw.

d) Compute the cumulative distributive function of net winning of one throw.

Math   Statistics-And-Probability   
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