Write the statement in the form if p, then q : Practice is necessary for making the team. If you don't make the team, then you don't practice.

Write the statement in the form if p, then q: Practice is necessary for making the team.

   a. If you don't make the team, then you don't practice.

   b. If you make the team, then you don't practice.

   c. If you make the team, then you practice.

   d. If you practice, then you make the team.

Identify the statement as true or false.

7 - 5 = 2 if and only if 11 + 4 = 16.

   a. False

   b. True

. Identify the statement as true or false.

9 - 2 = 7 if and only if 11 + 3 = 15.

   a. True

   b. False

Identify the statement as true or false.

10 + 1 = 13 if and only if 9 = 10.

   a. False

   b. True

Q5. Identify the statement as true or false.

10 - 5 = 5 if and only if 10 + 4 = 15.

   a. True

   b. False

Q6. Identify the statement as true or false.

8 x 2 = 20 if and only if 6 + 7 = 13.

   a. True

   b. False

Q7. Identify the statement as true or false.

10 - 5 = 5 if and only if 7 + 5 = 13.

   a. True

   b. False

Q8. Identify the statement as true or false.

12 + 1 = 11 if and only if 5 = 9.

   a. True

   b. False

Q9. Identify the statement as true or false.

11 - 2 = 9 if and only if 7 + 5 = 13.

   a. False

   b. True

Q10. Identify the statement as true or false.

8 x 2 = 20 if and only if 5 + 7 = 12.

   a. True

   b. False

Q11. Write the statement in the form if p, then q: I go to class only if you go to class.

   a. If you go to class, then I go to class.

   b. If I go to class, then you go to class.

   c. If I go to class, then you don't go to class.

   d. If I don't go to class, then you don't go to class.

Q12. Identify the statement as true or false.

6 + 1 = 3 if and only if 7 = 15.

   a. False

   b. True

Q13. Write a negation for the statement.

My brother is asleep.

   a. The person who is asleep is not my brother.

   b. My sister is awake.

   c. My brother is not asleep.

   d. My sister is asleep.

Q14. Determine whether the given events are mutually exclusive.

Knowing Spanish and knowing Chinese

   a. Yes

   b. No

Q15. Find the number of subsets of the set.

{0, 9, 10, 11}

   a. 16

   b. 15

   c. 8

   d. 4

Q16. Use the rule of total probability to find the indicated probability.

Two shipments of components were received by a factory and stored in two separate bins. Shipment I has 5% of its contents defective, while shipment II has 4% of its contents defective. If it is equally likely an employee will go to either bin and select a component randomly, what is the probability a selected component is defective?

   a. 9

   b. 0.09

   c. 4.5

   d. 0.045

Q17. Below is a table of data from a high school survey given to 500 parents. Find the probability that a randomly chosen parent would agree or strongly agree that the school is clean. Round your answer to the nearest hundredth.

   a. 0.42

   b. 0.37

   c. 184

   d. 0.38

Q18. Provide an appropriate response.

A sample space S is a set of 7 outcomes. What is the most distinct events that S can have?

   a. 5040

   b. 128

   c. 7

   d. 1

Q19. Find the indicated probability.

The distribution of B.A. degrees conferred by a local college is listed below, by major.

MajorFrequency

English 2073

Mathematics 2164

Chemistry 318

Physics 856

Liberal Arts 1358

Business 1676

Engineering 868

9313

What is the probability that a randomly selected degree is in Engineering?

   a. 0.0012

   b. 0.0932

   c. 0.1028

   d. 868

Q20. Find the odds.

Find the odds in favor of rolling an odd number when a fair die is rolled.

   a. 1 to 2

   b. 2 to 1

   c. 3 to 2

   d. 1 to 1

Q21. Find the probability.

A calculator requires a keystroke assembly and a logic circuit. Assume that 80% of the keystroke assemblies and 82% of the logic circuits are satisfactory. Find the probability that a finished calculator will be satisfactory. Assume that defects in keystroke assemblies are independent of defects in logic circuits.

   a. .6724

   b. .6560

   c. .6400

   d. .8100

Q22. Use Bayes' rule to find the indicated probability.

67% of the workers at Motor Works are female, while 63% of the workers at City Bank are female. If one of these companies is selected at random (assume a 50-50 chance for each), and then a worker is selected at random, what is the probability that the worker is female, given that the worker comes from City Bank?

   a. 31.5%

   b. 42.2%

   c. 33.5%

   d. 67%

Q23. Use Bayes' rule to find the indicated probability.

Two stores sell a certain product. Store A has 26% of the sales, 1% of which are of defective items, and store B has 74% of the sales, 2% of which are of defective items. The difference in defective rates is due to different levels of pre-sale checking of the product. A person receives a defective item of this product as a gift. What is the probability it came from store B?

   a. 0.8706

   b. 0.9867

   c. 0.1733

   d. 0.1529

Q24. Use Bayes' rule to find the indicated probability.

Two stores sell a certain product. Store A has 30% of the sales, 2% of which are of defective items, and store B has 70% of the sales, 5% of which are of defective items. The difference in defective rates is due to different levels of pre-sale checking of the product. A person receives a defective item of this product as a gift. What is the probability it came from store B?

   a. 0.8537

   b. 0.1714

   c. 0.1463

   d. 1

Q25. Use Bayes' rule to find the indicated probability.

A person must select one of three boxes, each filled with clocks. The probability of box A being selected is 0.36, of box B being selected is 0.29, and of box C being selected is 0.35. The probability of finding a red clock in box A is 0.2, in box B is 0.4, and in box C is 0.9. A box is selected. Given that the box contains a red clock, what is the probability that box A was chosen?

   a. 0.36

   b. 0.133

   c. 0.143

   d. 0.072

Q26. Determine whether the given events are mutually exclusive.

Getting an A in your statistics course and getting a B in your statistics course.

   a. Yes

   b. No

Q27. Find the probability of the event.

A die is rolled 18 times and two threes come up.

   a. .060

   b. .230

   c. .099

   d. .160

Q28. If 3 balls are drawn from a bag containing 3 red and 4 blue balls, what is the expected number of red balls in the sample?

   a. 1.29

   b. .89

   c. 1.39

   d. 1.54

Q29. Suppose there are 3 roads connecting town A to town B and 7 roads connecting town B to town C. In how many ways can a person travel from A to C via B?

   a. 21 ways

   b. 49 ways

   c. 9 ways

   d. 10 ways

Q30. Provide an appropriate response.

Consider the selection of officers for a club. Is this a combination, a permutation, or neither?

   a. Combination

   b. Permutation

   c. Neither

Q31. How many distinguishable permutations of letters are possible in the word?

LOOK

   a. 24

   b. 12

   c. 16

   d. 4

Q32. Provide an appropriate response.

Consider determining how many possible phone numbers are in an area code (repeated numbers allowed). Is this a combination, a permutation, or neither?

   a. Neither

   b. Combination

   c. Permutation

Q33. Find the number of ways to get the following card combination from a 52-card deck.

If two cards are drawn from a 52-card deck without replacement, in how many different ways is it possible to obtain a heart on the first draw and an ace on the second?

   a. 48 ways

   b. 3 ways

   c. 51 ways

   d. 50 ways

Q34. Evaluate the permutation.

P(10, 6)

   a. 10

   b. 1

   c. 720

   d. 151,200

Q35. To win the World Series, a baseball team must win 4 games out of a maximum of 7 games. To solve the problem, list the possible arrangements of losses and wins.

How many ways are there of winning the World Series in exactly 7 games if the winning team wins the first two games?

   a. 10 ways

   b. 5 ways

   c. 4 ways

   d. 3 ways

Q36. Four accounting majors, two economics majors, and three marketing majors have interviewed for five different positions with a large company. Find the number of different ways that five of these could be hired.

Instead of five positions, the company has decided that only three positions, with no restriction on the college majors, must be filled.

   a. 2520 ways

   b. 6 ways

   c. 24 ways

   d. 504 ways

Q37. Find the requested probability.

What is the probability that 19 rolls of a fair die will show 6 fives?

   a. .0272

   b. .1088

   c. .0544

   d. .0109

Q38. In how many ways can a group of 6 students be selected from 7 students?

   a. 6 ways

   b. 42 ways

   c. 7 ways

   d. 1 way

Q39. Find the standard deviation.

83, 22, 76, 66, 88, 46, 57, 50, 32

   a. 22.6

   b. 24.2

   c. 7.2

   d. 21.3

Q40. Solve the problem using the normal curve approximation to the binomial distribution.

Two percent of hair dryers produced in a certain plant are defective. Estimate the probability that of 10,000 randomly selected hair dryers, exactly 225 are defective.

   a. .0034

   b. .0057

   c. .0051

   d. .0065

Q41. Find the percent of the total area under the standard normal curve between the given z-scores.

z = 0.07 and z = 2.45

   a. 0.4650

   b. 0.5208

   c. 0.6531

   d. -0.4650

Q42. Solve the problem using the normal curve approximation to the binomial distribution.

A product is manufactured in batches of 120 and the overall rate of defects is 5%. Estimate the probability that a randomly selected batch contains more than 6 defects.

   a. .4641

   b. .5871

   c. .4168

   d. .0832

Q43. A test can have grades from 0 to 100, inclusive. If 53 students take the test, is the median necessarily 50?

   a. No

   b. Yes

Q44. Find the mode or modes.

    20, 34, 46, 34, 49, 34, 49

   a. 49

   b. 46

   c. 38

   d. 34

Q45. Find the median.

18, 24, 39, 42, 65, 75, 90

   a. 50

   b. 42

   c. 39

   d. 65

Q46. Find the mean. Round to the nearest tenth.

Value Frequency

163 2

216 2

265 7

313 6

333 3

389 1

   a. 265.3

   b. 80.0

   c. 280.0

   d. 309.4

Q47. Find a z-score satisfying the given condition.

25.1% of the total area is to the right of z.

   a. -.68

   b. -.67

   c. .33

   d. .67

Q48. If the life, in years, of a television set is normally distributed with a mean of 36 years and a standard deviation of 6 years, what should be the guarantee period if the company wants less than 3% of the television sets to fail while under warranty?

   a. Less than 24.72 years

   b. Less than 19.5 years

   c. More than 24.72 years

   d. Less than 47.28 years

Q49. A company installs 5000 light bulbs, each with an average life of 500 hours, standard deviation of 100 hours, and distribution approximated by a normal curve. Find the approximate number of bulbs that can be expected to last the specified period of time.

Less than 690 hours

   a. 2357

   b. 4860

   c. 4857

   d. 4853

Q50. Suppose 500 coins are tossed. Using the normal curve approximation to the binomial distribution, find the probability of the indicated results.

Less than 259 heads

   a. .788

   b. .224

   c. .773

   d. .776Q1. Write the statement in the form if p, then q: Practice is necessary for making the team.

   a. If you don't make the team, then you don't practice.

   b. If you make the team, then you don't practice.

   c. If you make the team, then you practice.

   d. If you practice, then you make the team.

Write the statement in the form if p, then q: Practice is necessary for making the team. a. If you don't make the team, then you don't practice. b. If you make the team, then you don't practice. c....