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Suppose you have an experiment where you flip a coin three times. You then count the number of heads. Create a probability distribution for the

Suppose you have an experiment where you flip a coin three times. You then count the number of heads.

Create a probability distribution for the number of heads in this experiment. Enter your answer as a space-column-separated-semicolon-row-separated list. For example, the table

x 1 2
P(X=x) .27 .83

should be submitted as

1 2; .27 .83

In particular, note the spaces, that there are no 0s before the decimals, that the decimals have 2 numbers, and the x/P(X=x) labels are removed. Submit your answer in this bolded format exactly.

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The Ohio lottery has a game called Pick 4 where a player pays $1 and picks a four-digit number. If the four numbers come up in the order you picked, then you win $2,500. What is your expected value?

Note that the 4-digit number must not start with a 0. Round your answer to 4 decimal places.

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