1. A group of people were asked if they had run a red light in the last year. 358 responded "yes", and 152 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. Giving a test to a group of students, the grades and gender are summarized below

A B C Total

Male 10 19 9 38

Female 6 13 5 24

Total 16 32 14 62

If one student was chosen at random,

find the probability that the student got an A.

Give your answer as a fraction or decimal.

3.Giving a test to a group of students, the grades and gender are summarized below

A B C Total

Male 3 2 19 24

Female 18 5 20 43

Total 21 7 39 67

If one student is chosen at random,

Find the probability that the student did NOT get an "A"

4.A geneticist conducts an experiment with beans, one sample of offspring consisted of 481 green beans and 159 yellow beans. Based on these results, estimate the probability of getting an offspring bean that is green.

Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol.

prob = %

Is the result reasonably close to the value of 3434 that was expected?

• yes
• no

5.In a brand recognition study, 795 consumers knew of Gap, and 19 did not. Use these results to estimate the probability that a randomly selected consumer will recognize Gap.

Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol.

prob =

6.A poll showed that 56% of Americans say they believe that statistics teachers know the true meaning of life. What is the probability of randomly selecting someone who does not believe that statistics teachers know the true meaning of life.

Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol.

prob =

10.Suppose that 13% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?

Give your answer as a decimal (to at least 3 places) or fraction

11.Suppose a jar contains 10 red marbles and 14 blue marbles. If you reach in the jar and pull out 2 marbles at random at the same time, find the probability that both are red.

12.Suppose you roll a special 49-sided die. What is the probability that the number rolled is a "1" OR a "2"?

13.Giving a test to a group of students, the grades and gender are summarized below

A B C Total

Male 12 3 18 33

Female 11 19 8 38

Total 23 22 26 71

If one student is chosen at random,

Find the probability that the student was male AND got a "C".

14.Giving a test to a group of students, the grades and gender are summarized below

A B C Total

Male 20 2 7 29

Female 12 14 11 37

Total 32 16 18 66

If one student is chosen at random,

Find the probability that the student was female OR got an "A"

15.Giving a test to a group of students, the grades and gender are summarized below

A B C Total

Male 9 8 15 32

Female 19 14 18 51

Total 28 22 33 83

If one student is chosen at random,

Find the probability that the student got a 'C' GIVEN they are male.

16.Giving a test to a group of students, the grades and gender are summarized below

A B C Total

Male 13 5 20 38

Female 7 3 16 26

Total 20 8 36 64

If one student is chosen at random,

Find the probability that the student was NOT a [male that got a "A"]

17.The table summarizes results from 985 pedestrian deaths that were caused by automobile accidents.

Driver

Intoxicated? Pedestrian Intoxicated?

Yes No

Yes 48 66

No 250 621

If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was intoxicated.

Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol.

prob =

18.With one method of a procedure calledacceptance sampling, a sample of items is randomly selected without replacement and the entire batch is accepted if every item in the sample is okay. The ABCD Electronics Company has just manufactured 6000 write-rewrite CDs, and 150 are defective. If 5 of these CDs are randomly selected for testing, what is the probability that the entire batch will be accepted?

Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol.

prob =

19.Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A pollster contacts 77 people in the 18-21 age bracket and finds that 65 of them respond and 12 refuse to respond. When 284 people in the 22-29 age bracket are contacted, 267 respond and 17 refuse to respond. Assume that 1 of the 361 people is randomly selected. Find the probability of getting someone in the 22-29 age bracketORsomeone who agreed to respond.

Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol.

prob =

20.In a large population, 53 % of the people have been vaccinated. If 5 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?

Give your answer as a decimal (to at least 3 places) or fraction

21.A jar contains 8 red marbles numbered 1 to 8 and 12 blue marbles numbered 1 to 12. A marble is drawn at random from the jar. Find the probability of the given event,please show your answers as reduced fractions.

(a) The marble is red. P(red)=

(b) The marble is odd-numbered. P(odd)=

(c) The marble is red or odd-numbered. P(red or odd) =

(d) The marble is blue or even-numbered. P(blue or even)

22.Events A and B are indpendent events. Find the indicated Probability.

P(A)=0.6P(A)=0.6

P(B)=0.1P(B)=0.1

P(AandB)=P(AandB)=

23.Events AA and BB are independent. Find the indicated Probability.

P(A)=0.91P(A)=0.91

P(B)=P(B)= (round answer to three decimal places)

P(AandB)=0.39

24.Let AA and BB be mutually exclusive events, such that P(A)=0.7357P(A)=0.7357 and P(B)=0.202P(B)=0.202 . Find the following probabilities:

P(A and B)= (Round the answer to 2 decimals)

P(A or B)= (Round the answer to 2 decimals)

25.Let AA and BB be two events, such that P(A)=0.0162P(A)=0.0162, P(B)=0.6453P(B)=0.6453, and P(AandB)=0.0154P(AandB)=0.0154. Find the following probability:

P(A or B)= (Round the answer to 4 decimals)

26.Suppose a basketball player makes 64.5% of shots and that the probabilty of making each shot is independent. If the basketball player attempts 3 shots, what is the probability of making at least one shot?

Enter your answer rounded to at least 4 decimals.