In: Statistics and Probability
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?