#1 ) The table shows the results of a survey in which 1,200 adults were asked whether they supported or opposed a tax on energy drinks.

	Support	Appose	Unsure	Total
Male	455	320	25	800
Female	235	160	5	400
Total	690	480	30	1200

A person is selected at random from the sample. Show your work to find the probability of each event:

A.) The person opposes the tax.

B.) The person opposes the tax or is male.

C.) The person opposes the tax, given they are male.

D.) The person opposes the tax and is male.

E.) Can any events from Parts A through D be considered unusual? Explain your reasoning.

F.) Based on the answers from Part (A) and Part (C) above, determine whether the events "the person opposes the tax" and "the person is male" are independent or dependent. Explain your reasoning: (Hint: Use the definition of Independent from page 148)

G.) Considering the data above, are the events "the person says unsure" and "the person is female" mutually exclusive? Explain your reasoning.

#2) The following discrete probability distribution was created from data gathered by an online shopping site that sells gluten free cereal.

# of items purchased, x	Probability, P(x)
0	0.205
1	0.315
2	0.448
3	0.032

A) Show your work to find the Mean of the distribution.

B) Show your work to find the Standard Deviation for the distribution.

C) Thinking in terms of an onlineshopping website, give an example of something that could be discrete variable and something that could be acontinuous variable. Justify your answer, convince me that you understand the difference between a continuous variable and a discrete variable.

#3) Thirty-nine percent of U.S adults think that the government should help fight childhood obesity. You randomly select six U.S. adults. Find the probability that the number ofU.S. adults who think that the government should help fight childhood obesity is:

A) Exactly two.

B) At least four.

C) Less than three.