1. A survey was conducted to see what activities people would give up if they were trying to save money. Four hundred and fifty people were asked whether or not they would give up going to the movies and whether or not they would give up going out to dinner. The following table shows the results of this survey.

		Give up going out to dinner
		Yes	No	Total
Give up going to the movies	Yes	165	120	285
No	55	110	165
Total	220	230	450

If a person is randomly selected from this group, what is the probability

1. That they said would give up to going to the movies?

a. That they said they would not give up going out to dinner

b. That they said they would give up movies given that they said they would not give up going out to dinner?

c. That they said they would give up going out to dinner given that they said they would give up going to the movies?

d. Are giving up going to the movies and giving up going out to dinner independent events?Justify your answer.

f. A bowl contains 12 white chips, 6 red chips and 8 blue chips. If two chips are drawn without replacement, what is the probability that both are blue chips? (Express your answer as reduced fraction or a decimal to three decimal places.)

2. Suppose that the grades on a standardized test given to fourth graders follow a Normal distribution and has a mean of 105 and a standard deviation of 14. Use this information to answer the following questions.

a. What proportion of children taking the test have a grade above 95? (Express answer to three decimal places.)

b. What proportion of children taking the test have a grade above 130? (Express answer to three decimal places.)

c. What proportion of children taking the test have a grade between 110 and 135?

d. What score represents the 55^th percentile?

e. Find the score such that 20% of scores are above the score.

3. Harry is having a party for his ninth birthday and his mom has rented a bouncy castle.Only children weighing less than 80 pounds can safely play in the castle. If the weights of nine-year-old boys is normally distributed with a mean of 68 pounds and a standard deviation of 7.2 pounds, what proportion of nine year old boys would be able to play in the castle? (Express your answer to three decimal places.)

4. The number of seventh grade students who are absent from Mrs. Goblin's homeroom on any day can be described by a random variable, X with the following distribution

x	0	1	2	3	4	5	6
P(x)	.11	.23	.32	.19	.06	.05	.04

Compute the mean of the random variable X. (Express your answer to one decimal place.)

5. Betty likes to bowl and is pretty good at the game. On any frame, the probability she will get a strike is 0.71. Suppose a game of bowling involves 10 frames. (I understand that a player may bowl an additional time if their last frame was a spare or a strike but we are going to ignore that rule for this question.)

a. Explain what conditions need to be met for us to use the binomial distribution to model this situation.

b. In this situation, what would be n?

c. In this situation, what would be p?

d. On average, how many strikes should we expect Betty to have in a game of bowling?

e. In game of bowling, what is the probability that Betty will have eight strikes?

f. In a game of bowling, what is the probability that Betty will have three or fewer strikes?