1.) A binomial experiment with probability of success

=p0.68

and

=n7

trials is conducted. What is the probability that the experiment results in more than

5

successes?

Do not round your intermediate computations, and round your answer to three decimal places. (If necessary, consult a list of formulas.)

2.) Anita's, a fast-food chain specializing in hot dogs and garlic fries, keeps track of the proportion of its customers who decide to eat in the restaurant (as opposed to ordering the food "to go"), so it can make decisions regarding the possible construction of in-store play areas, the attendance of its mascot Sammy at the franchise locations, and so on. Anita's reports that

52%

of its customers order their food to go. If this proportion is correct, what is the probability that, in a random sample of

5

customers at Anita's, exactly

4

order their food to go?

Round your response to at least three decimal places. (If necessary, consult a list of formulas.)

3.)Reuben is in charge of planning a reception for

1600

people. He is trying to decide which snacks to buy. He has asked a random sample of people who are coming to the reception what their favorite snack is. Here are the results.

Favorite Snack	Number of People
Cake	31
Pretzels	27
Cookies	103
Other	64

Based on the above sample, predict the number of the people at the reception whose favorite snack will be pretzels. Round your answer to the nearest whole number. Do not round any intermediate calculations.

4.)Let

X

be a random variable with the following probability distribution.

Value x of X	P=Xx
0	0.10
10	0.25
20	0.30
30	0.25
40	0.10

Complete the following. (If necessary, consult a list of formulas.)

(a) Find the expectation EX of X .
	=EX
(b) Find the variance Var X of X .
	=VarX