Construct a probability distribution for the data and draw a graph for the distribution.

#21 The probabilities that a bakery has a demand for 2,3,5, or 7 birthday cakes on any given day are 0.35 , 0.41, 0.15, and 0.09 respectively.

#30 Using the sample space for tossing two dice, construct a probability distribution for the sums 2 through 12.

#8 A study conducted by a TV station showed the number of televisions per household and the corresponding probabilities for each. Find the mean, variance, and standard deviation.

Number of televisions X 1 2 3 4 Probability P(X) 0.32 0.51 0.12 0.05 

If you were taking a survey on the programs that were watched on television, how many program diaries would you send to each household in the survey?

#16 A lottery offers one $1000 prize, one $500 prize, and five $100 prizes. One thousand tickets are sold at $3 each. Find the expectation if a person buys two tickets. Assume that the player's ticket is replaced after each draw and that the same ticket can win more than one prize.