1. A group of people were asked if they had run a red light in the last year. 303 responded "yes", and 302 responded "no". Find the probability that if a person is chosen at random, they have run a red light in the last year. Give your answer as a fraction or decimal accurate to at least 3 decimal places

2. Using a normal spinner labeled 1-12 P(3 or 10) =

3. A jar contains 9 red marbles, numbered 1 to 9, and 12 blue marbles numbered 1 to 12. a) A marble is chosen at random. If you're told the marble is blue, what is the probability that it has the number 7 on it? b) The first marble is replaced, and another marble is chosen at random. If you're told the marble has the number 11 on it, what is the probability the marble is blue?

4.

x	P(x)
0	0.05
1	0.15
2	0.15
3	0.65

Find the mean of this probability distribution. Round your answer to one decimal place.

5. A classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13 individual cards (Ace, 2-10, Jack, Queen, and King). If you select a card at random, what is the probability of getting: 1) A(n) 7 of Heart s? 2) A Spade or Diamond? 3) A number smaller than 3 (counting the ace as a 1)?

6. Assume that a procedure yields a binomial distribution with a trial repeated n=5n=5 times. Use some form of technology to find the probability distribution given the probability p=0.475p=0.475 of success on a single trial. (Report answers accurate to 4 decimal places.)

k	P(X = k)
0
1
2
3
4
5

7. When doing blood testing for a viral infection, the procedure can be made more efficient and less expensive by combining partial samples of different blood specimens. If samples from three people are combined and the mixture tests negative, we know that all three individual samples are negative. Find the probability of a positive result for three samples combined into one mixture, assuming the probability of an individual blood sample testing positive for the virus is 0.03. Report the answer as a percent rounded to one decimal place accuracy.

8. About 10% of the population has a particular genetic mutation. 1000 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in such groups of 1000.

9. About 1% of the population has a particular genetic mutation. 600 people are randomly selected. Find the mean for the number of people with the genetic mutation in such groups of 600.