QUESTION 1. For the set of 11 data points {2,3,6,7,8,12,14,17,18,19,20} find the first, second and third quartiles, the interquartile range and the midquartile.

QUESTION 2. For the set of 10 data points {3,6,7,8,12,14,17,18,19,20} find the first, second and third quartiles, the interquartile range and the midquartile.

QUESTION 3. If the mean score on a test =76 with standard deviation = 5, find the score corresponding to a

a. z-score=2.3

b. z-score= -1.8

c. z-score=0.5

d.z-score=0

QUESTION 4. Which exam score has a higher relative position?

a.a score of 82 on a test with mean = 85and standard deviation =6

b.a score of 56 on a test with mean = 60 and standard deviation =5

QUESTION 5. Which exam score is more unusual based on a z-score?

a.a score of 420 on a test with mean = 500and standard deviation =60

b.a score of 520 on a test with mean = 600 and standard deviation =65

QUESTION 6. Consider the following table of data.

MeanStandard Deviation

Data Set A:105

Data Set B:2010

Data Set C:3015

a.For which data set is a value of 20 least unusual?

b.For which data set is a value of 15 most unusual?

QUESTION 7. 1.From a group of 30 students, 15 students attend college A of which 7 are women.10 students attend college B of which 5 are women.5 students attend college C of which 3 are women.If one student is selected from the group at random,then find the probability that

a.the student attends college A or is a man

b.the student attends college A or is a man but not both

c.the student attends college B or is a woman

d.the student attends college A or college B

2.One card is selected randomly from a standard 52-card deck.Find the probability of selecting

a.a face card or a black card

b.a heart or 2

c.3 or 4

3.If the probability that a person owns a car is .80, that a person owns a boat is .30, and that a person owns both a car and a boat is .12, then find the probability that a person

a.does not own a boat.

b.owns a car or a boat.

c.owns a car or a boatbut not both.

d.owns a car but not a boat.

e.owns a boat but not a car.

e.owns neither a car nor a boat.

4.There is a .39 probability that John will purchase a car, a .73 probability that Mary will purchase a car, and a .36 probability that both willpurchase a car.Find the probability that

a.Mary does not purchase a car.

b.Mary or John purchases a car.

c.Mary or John but not both purchases a car.

d.Mary purchases a car but John does not.

e.John purchases a car but Mary does not..

f.neither person purchases a car.

QUESTION 8. 1.A fair die is rolled once producing one of six outcomes {1,2,3,4,5,6}.Find the probability

a. that a 3 is not rolled.

b.of not rolling a 3 or a 4.

c.of not rolling a number not equal to 5.

d.of not rolling an odd number

2.One card is selected randomly from a standard 52-card deck.Find the probability of not selecting

a.a red card.

b.the queen of diamonds.

c.a black jack.

d.a card numbered greater than 3 and less than 8.

e.a face card or a black card.

f.a heart or a 2.

3.Three cards are selected without replacement from a standard 52-card deck.Find the probability of selecting

a.3 red cards.

b.3 clubs.

c.7,8,9 in that order..

d.3 kings.

4.A group consists of 4 democrats, 3 republicans and 2 independents.Two individuals are selected without replacement.Find the probability of selecting

a.2 democrats.

b.2 independents.

c.republican on 1'st draw and democrat on 2'nd draw.

5.Two fair dice are rolled.Find the odds

a.in favor of sum=11.

b.against sum=7.

6.One card is selected randomly from a standard 52-card deck.Find the odds

a.in favor of a face card.

b.against an ace.

7.The odds in favor of an event E occurring are 5:18 .Find P(E), probability of event E occurring.

8.The odds in favor of an event E occurring are 24:7 .Find P(not E), probability of event E not occurring.