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Golf Putts

A golf tournament director recorded the number of putts needed on a hole for the four rounds of the tournament.  The random variable x represents the number of putts needed on the hole.  Decide whether the distribution is a probability distribution.  If it is not a probability distribution, identify the property (or properties) that are not satisfied.

x 0 1 2 3 4 5
P open parentheses x close parentheses 0.007 0.292 0.349 0.245 0.058 0.004
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