Math1342-TestReview2-Summer2-2016 MULTIPLE CHOICE. …

Math1342-TestReview2-Summer2-2016

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers thequestion.

1) If a sportscaster makes an educated guess as to how well a team will do this season, heis using what type of probability?

1)

A) classical probability B) subjective probabilityC) conditional probability D) empirical probability

2) A compound event consists of two or more outcomes or simple events. 2)A) True B) False

3) If an event cannot happen, what value is assigned to its probability? 3)A) 0 B) 100% C) -1 D) 1

4) If two dice are rolled one time, find the probability of getting a sum less than 5. 4)

A) 13

B) 16

C) 736

D) 536

5) If a red suit is drawn from an ordinary deck of cards, what is the probability that thecard is a diamond?

5)

A) 13

B) 14

C) 15

D) 12

6) A 12-sided die can be made from a geometric solid called adodecahedron. Assume that a fair dodecahedron is rolled.

The sample space is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.

Find P(4).

6)

A) 1/4 B) 1/3 C) 2/3 D) 1/12

7) A 12-sided die can be made from a geometric solid called adodecahedron. Assume that a fair dodecahedron is rolled.

The sample space is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.

Find P(Greater than 4).

7)

A) 1/12 B) 1/4 C) 2/3 D) 7/12

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8) A coin is tossed 758 times and comes up heads 409 times. Use the Empirical Method toapproximate the probability that the coin comes up heads.

8)

A) 0.46 B) 0.35 C) 0.54 D) 0.5

9) Box A contains the numbers 1, 2, 3, and 4. Box B contains the numbers 5, 6, 7, and 8.A number is first drawn from Box A and then another number from Box B. Using thefigure below, how many outcomes are possible if both numbers are even?

9)

A) 16 B) 4 C) 8 D) 6

10) In a fish tank, there are 15 goldfish, 6 angelfish, and 18 guppies. If a fish is selected atrandom, find the probability that it is an angelfish or a guppy.

10)

A) 813

B) 513

C) 1113

D) 713

11) Let E be the event that a corn crop has an infestation of ear worms, and let B be theevent that a corn crop has an infestation of corn borers.

Suppose that P(E) = 0.29, P(B) = 0.1, and P(E and B) = 0.09. Find the probability that acorn crop has no corn borer infestation.

11)

A) 0.71 B) 0.3 C) 0.9 D) 0.61

12) In a recent semester at a local university, 500 students enrolled in both GeneralChemistry and Calculus I. Of these students, 66 received an A in general chemistry, 73received an A in calculus, and 33 received an A in both general chemistry and calculus.

Find the probability that a randomly chosen student received an A in general chemistryor calculus or both.

12)

A) 0.344 B) 0.278 C) 0.763 D) 0.212

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13) A fast-food restaurant chain has 633 outlets in the United States. The following tablecategorizes them by city population and location and presents the number of outlets ineach category. An outlet is chosen at random from the 633 to test market a new menu.

RegionPopulation of city NE SE SW NW

Under 50,000 28 30 31 2250,000 - 500,000 58 46 54 42

Over 500,000 79 125 74 44

Given that the outlet is located in a city with a population under 50,000, what is theprobability that it is in the Southwest?

13)

A) 0.049 B) 0.27 C) 0.175 D) 0.279

14) The Gift Basket Store had the following premade gift baskets containing the followingcombinations in stock.

Cookies Mugs Candycoffee 5 14 10Tea 16 13 11

Choose 1 basket at random. Find the probability that it contains tea given that itcontains mugs.

14)

A) 0.481 B) 0.188 C) 0.519 D) 0.929

15) A fair coin is tossed four times. What is the probability that the sequence of tosses isHHHT?

15)

A) 0.25 B) 0.0625 C) 0.038 D) 0.125

16) A lot of 1000 components contains 250 that are defective. Two components are drawnat random and tested. Let A be the event that the first component drawn is defective,and let B be the event that the second component drawn is defective.

Find P(B and A).

16)

A) 0.2492 B) 0.25 C) 0.0623 D) 0.004

17) There are 3 blue balls, 5 red balls, and 2 white balls in a bag of balls. If a person selectstwo of the balls, what is the probability that the second one is blue given that the firstone was white?

17)

A) 12

B) 310

C) 29

D) 13

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18) On a TV game show, a contestant is shown 8 products from a grocery store and isasked to choose the three least-expensive items in the set, and then correctly arrangethese three items in order of price. In how many ways can the contestant choose thethree items?

18)

A) 336 B) 6720 C) 56 D) 6

19) If a menu has a choice of 5 appetizers, 3 main courses, and 3 desserts, how manydinners are possible if each includes one appetizer, one main course, and one dessert?

19)

A) 30 B) 3 C) 45 D) 14

20) Three statistics professors and seven chemistry professors are available to be advisors toa student organization. The student organization needs two of the professors to beadvisors. If each professor has an equal chance of being selected, what is the probabilitythat both professors are chemistry professors?

20)

A) 0.233 B) 0.100 C) 0.467 D) 0.111

21) A package contains 10 resistors, 2 of which are defective. If 3 are selected, find theprobability of getting 1 defective resistor.

21)

A) 0.3571 B) 0.2333 C) 0.0167 D) 0.4667

22) In a company there are 8 executives: 5 women and 3 men. 3 are selected to attend amanagement seminar. Find the probability that 2 men and 1 woman will be selected.

22)

A) 0.2679 B) 0.2344 C) 0.0667 D) 0.3750

23) Determine whether the table represents a discrete probability distribution.

x P(x)-3 0.05-2 0.15-1 0.350 0.45

23)

A) Yes B) No

24) Fill in the missing value so that the following table represents a probability distribution.

x -4 -3 -2 -1P(x) 0.42 0.08 ? 0.05

24)

A) 0.26 B) 0.25 C) 0.45 D) 0.33

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25) A survey asked 851 people how many times per week they dine out at a restaurant. Theresults are presented in the following table.

Number of Times Frequency0 1041 2442 2423 1424 625 226 277 8

Total 851

Consider the 851 people to be a population. Let X be the number of times per week aperson dines out for a person sampled at random from this population. Find theprobability that a person does not dine out at all.

25)

A) 0.287 B) 0.122 C) 0.409 D) 0

26) Find the mean of the distribution shown below.

X 2 3 4P(X) 0.36 0.32 0.32

26)

A) 2.92 B) 1.60 C) 2.56 D) 2.96

27) What is the standard deviation of the following probability distribution?

X 0 2 4 6 8P(X) 0.20 0.05 0.35 0.25 0.15

27)

A) 3.9 B) 5.4 C) 4.7 D) 2.6

28) Compute the standard deviation of the random variable with the given discreteprobability distribution.

x P(x)0 0.25 0.4515 0.0525 0.3

28)

A) 11.25 B) 10.5 C) 99.8 D) 10.0

5

29) It is estimated that 25% of households own a riding lawn mower. A sample of 16households is studied. What is the probability that exactly 5 of these own a riding lawnmower?

29)

A) 0.8198 B) 0.0002 C) 0.9998 D) 0.1802

30) In a large bag of marbles, 25% of them are red. A child chooses 4 marbles from thisbag. If the child chooses the marbles at random, what is the chance that the child getsexactly three red marbles?

30)

A) 0.141 B) 0.211 C) 0.047 D) 0.063

31) If a student randomly guesses at 20 multiple-choice questions, find the probability thatthe student gets exactly four correct. Each question has four possible choices.

31)

A) 0.218 B) 0.190 C) 0.085 D) 0.162

32) A coin is tossed 72 times. Find the standard deviation for the number of heads that willbe tossed.

32)

A) 18 B) 4.24 C) 6.78 D) 36

33) A certain large manufacturing facility produces 20,000 parts each week. The managerof the facility estimates that about 1% of the parts they make are defective. What is thevariance for the number of defective parts made each week?

33)

A) 14.1 B) 138 C) 200 D) 198

34) The failure rate for taking the bar exam in Philadelphia is 41%. If 375 people take thebar exam, what is the mean for the number of failures?

34)

A) 153.8 B) 90.7 C) 138.1 D) 221.3

35) Use the multinomial formula and find the probability for the following data. n =8, X1 = 4, X2 = 3, X3 = 1,p1 = 0.30, p2 = 0.50, p3 = 0.20

35)

A) 0.057 B) 0.333 C) 0.851 D) 0.095

36) The probability that a person will have 0, 1, or 2 dental checkups per year is 0.3, 0.6,and 0.1, respectively. If seven people are picked at random, what is the probability thattwo will have no checkups, four will have one checkup, and one will have two checkupsin the next year?

36)

A) 0.122 B) 0.588 C) 0.012 D) 0.018

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37) In the instructor's answer book for a mathematics text, 8% of the answers are incorrect.Use the Poisson approximation to express the probability that there are exactly 2incorrect answers for a homework set with 50 problems.

37)

A)e-424

4!B)

e-442

2!C)

e-882

2!D)

e-828

8!

38) The number of typographical errors in a document follows a Poisson distribution with amean of 4 errors per page. Let X represent the number of errors on 2 pages. FindP(Greater than 1).

38)

A) 0.9084 B) 0.9997 C) 0.9862 D) 0.9970

39) Find the area under the standard normal distribution curve between z = 0 and z = 2.16. 39)

A) 0.4846 B) 0.9846 C) 0.3708 D) 2.1600

40) Find the area under the standard normal distribution curve between z = –2.05 and z =2.05.

40)

A) 0.9596 B) 0.4938 C) 0.4798 D) 0.9876

41) Find the area under the standard normal curve to the left of z = 1.5. 41)A) 0.0668 B) 0.4332 C) 0.9332 D) 0.4666

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42) Find the area under the standard normal curve that lies between z = -1.9 and z = 2.2. 42)A) 0.9574 B) 0.0426 C) 0.5139 D) 0.4861

43) Find the probability P(0 < z < 1.67), using the standard normal distribution. 43)A) 45.54% B) 45.25% C) 42.07% D) 35.54%

44) Find the z value that corresponds to the given area. 44)

A) 0.57 B) 0.27 C) –0.79 D) 0.44


A) 0.07 B) –1.46 C) 1.46 D) 1.23

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A) 0.41 B) –0.51 C) –0.22 D) 1.33

SHORT ANSWER. Write the word or phrase that best completes each statement or answers thequestion.

47) Find the z value to the right of the mean such that 85% of the total area underthe standard normal distribution curve lies to the left of it?

47)


48) If a normally distributed group of test scores have a mean of 70 and a standard deviationof 12, find the percentage of scores that will fall below 50.

48)

A) 4.75% B) 35.54% C) 6.75% D) 45.25%

49) A normal population has a mean = 28 and standard deviation = 5. What proportionof the population is less than 23?

49)

A) 0.7389 B) 0.1587 C) 1.0000 D) 0.8413

50) A normal population has a mean = 33 and standard deviation = 9. What is theprobability that a randomly chosen value will be greater than 44?

50)

A) 0.8554 B) 0.8888 C) 0.1112 D) 0.6915

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51) X is a normally distributed random variable with a mean of 7.0 and a standard deviationof 3.00. Find the value x such that P(X < x) is equal to 0.86. (Note: the diagram is notnecessarily to scale.)

51)

A) 7.00 B) 8.14 C) 11.63 D) 10.24

52) X is a normally distributed random variable with a mean of 11.00. If the probability thatX is less than 11.88 is 0.67 (as shown below), then what is the standard deviation of X?(Note: the diagram is not necessarily to scale.)

52)

A) 4.00 B) 2.00 C) 1.00 D) 2.40

53) A sample of size 65 will be drawn from a population with mean 22 and standarddeviation 15. Find the probability that x will be between 20 and 25.

53)

A) 0.0537 B) 0.7465 C) 0.1423 D) 0.8040

SHORT ANSWER. Write the word or phrase that best completes each statement or answers thequestion.

54) The standard deviation of a normal distribution is 20. What is the standard errorof the mean obtained by averaging 225 samples?

54)

10


55) A sample of size 45 will be drawn from a population with mean 10 and standarddeviation 5. Find the probability that x will be greater than 11.

55)

A) 0.1170 B) 0.0901 C) 0.9099 D) 0.0721

56) The mean number of pets per household is 2.96 with standard deviation 1.4. A sampleof 52 households is drawn. Find the 74th percentile of the sample mean.

56)

A) 3.86 B) 3.74 C) 2.57 D) 3.08

57) The average diameter of sand dollars on a certain island is 3.00 centimeters with astandard deviation of 1.00 centimeters. If 9 sand dollars are chosen at random for acollection, find the probability that the average diameter of those sand dollars is morethan 2.60 centimeters. Assume that the variable is normally distributed.

57)

A) 0.820 B) 0.885 C) 0.615 D) 0.385

58) Use the normal approximation to find the indicated probability. The sample size is n, thepopulation proportion of successes is p, and X is the number of successes in the sample.

n = 90, p = 0.41: P(32 < X < 43)

58)

A) 0.1151 B) 0.1736 C) 0.8849 D) 0.7113

59) Use the normal approximation to find the indicated probability. The sample size is n, thepopulation proportion of successes is p, and X is the number of successes in the sample.

n = 75, p = 0.52: P(34 X 47)

59)

A) 0.1020 B) 0.8730 C) 0.0250 D) 0.9750

60) If a baseball player's batting average is 0.340 (i.e., the probability of getting a hit eachtime at bat is 0.340), find the probability that the player will have a bad season and get atmost 60 hits in 200 times at bat?

60)

A) 11.7% B) 36.9% C) 13.1% D) 38.3%

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Answer KeyTestname: UNTITLED1

1) B2) A3) A4) B5) D6) D7) C8) C9) B

10) A11) C12) D13) D14) A15) B16) C17) D18) A19) C20) C21) D22) A23) A24) C25) B26) D27) D28) D29) D30) C31) B32) B33) D34) A35) A36) A37) B38) D39) A40) A41) C42) A

12

Answer KeyTestname: UNTITLED1

43) B44) A45) C46) C47) 1.0448) A49) B50) C51) D52) B53) D54) 1.3355) B56) D57) B58) D59) B60) C

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Math1342-TestReview2-Summer2-2016 MULTIPLE CHOICE. …