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In: Statistics and Probability

1) determine whether the distribution represents a probability distribution if not state why x 15 16...

1) determine whether the distribution represents a probability distribution if not state why

x 15 16 20 25
p(x) 0.2 0.5 0.7 -0.8

2) Suit sales: the number of suits sold per day at a retail store is shown in the table with corresponding probabilities find the mean, variance and standard deviation of the distribution

x 0 1 2 3 4
P(X) .31 .42 .21 .04 .02

3) dice game: a person pays $2 to play a certain game by rolling a single die once. If a 1 or 2 comes up, the person wins nothing, however the player rolls a 3,4,5 or 6, he or she wins the difference between the number rolled and $2. find the expectation for this game is the game fair?

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