1. An unprepared student takes a 3 question true/false quiz in which he guesses the answers to all three questions. Write an equally likely sample space for this experiment, where C is a correct answer and w is a wrong answer.Then write the events. The student gets exactly 2 answers wrong and the student gets only the first question correct in set notation.
What is the sample space for the experiment?
A. (ccc,ccw,cww,wwc,www)
B. (ccc,ccw,cww,www)
C. (ccc,www)
D. (ccc,ccw,cwc,wcc,cww,wcw,wwc,www)
2. Which set shows the event the student gets only the 1st question correct?
A. cwc
b. wwc
c. cww
3. Use basic probability principle. Express each as a fraction reduced to the lowest terms. A 12 sided die is rolled. There is a set of equally likely outcomes (1,2,3,4,5,6,7,8,9,10,11,12). Find the probability of rolling a 12.
The probably of rolling a 12 is______________
4. Use basic probability principle. A 12-sided die is rolled. The set of equally like outcomes is (1,2,3,4,5,6,7,8,9,10,11,12). Find the probabilitiy of rolling an 11 or an 8.
The probability of rolling an 11 or an 8 is __________
5. Several friends got a boat for a days fishing. They caught a total of 68 fish. The table below provides information about the type an number of fish caught. Determine the empirical probability that the next fish caught is a flounder.
FISH # Caught
Grouper 15
Sharks 16
Flounder 6
Kingfish 31
P(flounder) =______________(simplify or type a fraction)
6. Use the table to find the probabilities that a person's total charges during the period are the following:
What is the probability that a person total charges are $1000 or more?___________ (type an integer or decimal group or 2 decimal places as needed)
Chart shows probability of a person accumulating specific amounts of credit card charges over a 12 month period.
Charges Probability
Under $100 .35
100-499 .18
500-999 .11
1000-1999 .13
2000-2999 .06
3000-4999 .05
5000-9999 .11
10,000 or more .01
7. An experiment is conducted for which the sample space is S=(s1, S2, S3, S4, S5)) is the following probability assignment possible for this experiment.
Outcomes s1 S s3 S4 s5
Probabilities 1/3 1/6 1/6 1/10 1/11
Is the probability assignment possible for this experiement?
A. A probability assignment is possible
B. Probability assignment is not possible
8. When playing Roulette, the attendant spins a marble that lands in the 38 slot in a revolving turntable. The slots are numbered 1 to 36, with two additional slots labled 0 and 00 that are painted green. Consider the numbers 0 and 00 as neither even nor odd. Half the remaining slots are colored red andhalf are black.
Assume single spin of the routleet is made. Find the probability of the marble landing on a green orodd slot.
The probability of the marble landing on a green or odd slot is ____________(type integer or simplified fraction)
9. A pair of dice are rolled. What are the odds of rolling a sum of 4? Theodds of rolling a sumof 4 are _____to_________
10. A produce buyer for a juice comp is buying pears. He made a choice of either Michigan, Wisconsin, or imported pears. For this contract, the he must also choose fancy, extra fancy, or ungraded. If each option has an equally likely chance of being selected, find the probability of the following event.
The pears are imported. What is the probability of this event?_____________(type the ratio as a simplified fraction)
10. Let P(z)=0.39, P(Y)=0.40 and P (zny) =0.16, use a venn diagram to find
(a) P (z'nY')
(b) P (z'uY')
(c) P(z'uY), and (d) P(znY')
(a) P (z'nY') =______________ (Type an integer or a decimal)
11. A single 6 sided die is tossed. Find the odds in favor of rolling a 2, 4, or 5.
What are odds in favor of rolling a 2, 4, or 5? ____________to____________(simplify your answer)
12. A marble is selected at random from a jar containing 4 red marbles, 5 tellow marbles, and 6 green marbles. What are the odds in favor of selecting a red marble?
What are the odds in favor of selecting a red marble __________to_______________
13. The probability that a bachelor's degree recipient in 2006 majored in Elem Education is 9/100. Find the odds of event occurring 9/100.
The odds of a bachelor's degree recipient in 2006 majoring in Elem Ed are _____________ to______.
14. The odds in favor of Rolan getting promoted are 7:3. Find the probability that Rolan gets promoted.
The probability that Rolan get promoted is _______________ (type an integer or simplified fraction0
15. Empirical Problem. Breakdown of 101 thousand single parents on active duty in U. S. military in a certain year. All numbers are in thousands and rounded to the nearest thousand. Use data to find the probability that a randomly selected single parent in the U. S. military is in the Army.
Army Navy MarineCorp Air Force Total
Male 28 28 4 15 75
Female 11 8 1 6 26
Total 39 36 5 21 101
The probability that randomly selected single parent in the U. S. military is in the Army is___________(integer or decimal rounded to the nearest hundredth as needed)
16. Empirical Problem. Breakdown of 93 thousand single parents on Active duty in u s military. What is the probability that a randomly selected single parent in U S military is a woman in the Air Force____________
Army Navy MarineCorp Air Force Total
Male 27 23 4 14 68
Female 11 7 1 6 25
Total 38 30 5 20 93
17. Empirical Problem. 94 thousand single parents on Active duty . What is the probability that a randomly selected parent in military is Army or the Navy_____________________
Army Navy MarineCorp Air Force Total
Male 26 24 6 12 68
Female 11 8 2 5 26
Total 37 32 8 17 94
18. A survey of 100 people about their music experience gave the following information:
34 brought blues music
22 were seniors who brought blues music
31 were seniors
Find the following probability.
The probability that a person is a senior who brought non blues music is ______________
19. Suppose a single die is rolled. Find the probability that it is an odd number, given that it is a 1.
The probability is ____________________
20. Two dice are rolled. Find the indicated probability. What is the probability that the sum of the points total 9 if the first die is a 4?____________________
21. If two cards are drawn without replacement from an ordinary deck, find the probability of a jack of diamonds and a 6 if any suit is being drawn.
The probability of a jack of diamonds and a 6 of any suit being drawn is __________
22. If two cards are drawn without replacement from an ordinary deck, the probability of a jack of diamonds and a 6 if any suit being drawn is_________________
23. Determine whether the events E and F are independent or dependent.
(a) E: A Person attaining a position as a professor
F: The same person attaining a position as a professor.
a. E and F are independent becsue attaining a PhD as a professor has no effect on probability of a person attaining a PhD.
b. E and F are dependent because attaining a position as a professor has no effect on the probability of a person attaining a PhD.
c. E and F are independent because attaining a PhD has no effect on the probability of a person attaining a position as a professor.
D. E and F are dependent because attaining a PhD can affect the probability of a person attaining a position as a professor.
24. A bike factory runs two assembly lines. A and B. 97% of the line A's products pass inspection and 88% of line B's products pass inspection. 30% of the factory's bikes come off assembly line B and the rest come off line A. Find the probability that one of the factory's bikes pass inspection and comeoff the assembly line B.
The probability is ___________(type a decimal)
25. Table show results of restaurant survey
Meals service Good Service Poor Total
Lunch 30 31 61
Dinner 34 10 44
Total 64 41 105
The probability the service was good, given that the meal was lunch is _________________
26. Table shows frequencies for red-green color blindness in one doctor's practice. M represents person is male and C represents person is color-blind. Use Table to find probability P(MnC)
M M' totals
C .034 .003 .037
C' .502 .461 .963
Totals .536 .464 1.000
P(MnC) =______________
27. The motor vehicle department has found that the probability a person passing the test for driver's license is 0.74. The probability an individual who fails on the first test will pass on second try is 0.8. Find the probability that an individual fails both first and second test.
P (fails both first and second test)=_______(type integer or decimal. Round to nearest hundredth.)
28. Restaurant Survey
Meal service great sev good serv okay serv poor total
Lunch 22 14 16 22 22 74
Dinner 31 35 43 40 40 149
Total 53 49 59 62 62 123
The probability that the service was good, given that the meal was dinner is ______________
29. Transaction fro one teller for one day: Find the probability that a customer did not cash a check given that the customer did not make a deposit
TRANS Cash Check No Check total
Make Deposit 35 13 38
No Deposit 27 13 40
Total 52 26 78
P(E/F) = ____________
30. Probability that the first record of a singing group will be a hit is 0.24. If their first record is a hit, so are all their subsequent records. If their first record is not a hit, the probability of their second and all subsequent ones being hits is 0.12. If the first two records are not hits, the probability that the third is a hit is 0.06. Find probability that a group has exactly two hits in their first three records.
P (exactly two hits in first three records )=______________(simplify your answers. Type an integer or an decimal. Round to 6 places.