8. The number of baby deliveries in a small hospital was sampled over 6 hour periods. Below is the sample:
33 36 21 48 12 24 27 21 9 12
27 12 18 36 27 24 12 18 36
Construct a stem and leaf plot of the data.

0 / 9
1 / 2 2 2 2 8 8
2 / 1 1 4 4 7 7 7
3 / 3 6 6 6
4 / 8


9.

Below are the home states of 20 college students.

Texas / Arizona / Mississippi / Mississippi / Pennsylvania
California / Pennsylvania / Texas / Georgia / Texas
Arizona / Texas / Pennsylvania / Pennsylvania / Alabama
Mississippi / Arizona / California / Georgia / Georgia

Make a frequency table using these 7 states:


Alabama
Arizona
California
Georgia
Mississippi
Pennsylvania
Texas

Alabama / 1
Arizona / 3
California / 2
Georgia / 3
Mississippi / 3
Pennsylvania / 4
Texas / 4


ii. What is (are) the mode(s)?

Pennsylvania and Texas


iii. Does it make sense to talk about the average for this data? Why or why not?

These aren’t numerical, so there can’t be an average.


iv. Using your frequency table draw a pie chart to display the distribution of home states by filling in the following table:

Home State / Frequency / Percentage of total / Measure of Central Angle (in degrees)
Alabama / 1 / 5 / 18
Arizona / 3 / 15 / 54
California / 2 / 10 / 36
Georgia / 3 / 15 / 54
Mississippi / 3 / 15 / 54
Pennsylvania / 4 / 20 / 72
Texas / 4 / 20 / 72


10. The cardinal number of the set {triangle, rectangle, square, trapezoid, octagon, rhombus, circle, pentagon} is

8, which is the count

11. The National Association for Women in Science asked recent high school grads if they had taken certain science classes. Of those surveyed, 28 said they had taken physics, 47 said they had taken chemistry and 13 said they had taken both. Twelve said they had taken neither. How many recent high school grads were surveyed? Show your work

= physics + chem – both + neither

= 28+47-13+12

= 74

12. Given the diagram below, find P n Q. Write in correct set notation.

That is the intersection, or overlap:

{l, n, a}

13. Let p, q, and r be the following statements:
p: Jamie is on the train.
q: Sylvia is at the park.
r: Nigel is in the car.
Translate the following statement into English: (~q Ú p) ® r

If Sylvia is not at the park or Jamie is on the train, then Nigel is in the car.

14. Form the converse: If I do not mow the lawn, then the grass grows too tall. (Points : 5)
If the grass grows too tall, then I did not mow the lawn.
15. Write the statement in symbols using the p and q given below. Then construct a truth table for the symbolic statement and select the best match.
p = I eat too much
q = I'll exercise.
If I eat too much, then I'll exercise. (Points : 5)
P → Q
p q
p / q / p q
T / T / T
T / F / F
F / T / T
F / F / T
16. Find the supplementary angle of 63°. (Points : 5)
117°
17. What is the exact circumference of a circle with a diameter of 13 inches? (Points : 5)
13p inches
18. Find the volume of the pyramid with a rectangular base shown below.

440 cubic inches
19. The theoretical probability of undesirable side effects resulting from taking Grebex is 2 in 11. If 110 people take Grebex to lower their blood pressure, how many will encounter undesirable side effects?

2/11 * 110

= 20

20. If the odds of winning a raffle are 13:225, what is the probability of winning?
(Points : 5)
13/238
21. One thousand raffle tickets are sold for $2.00 each. One grand prize of $400 and two consolation prizes of $100 each will be awarded. Jeremy purchases one ticket. Find his expected value. Show your work for full credit.

EV = sum(x*p(x))

= -2 + 1/1000*400 + 2/1000*100

= -2 + 0.4 + 0.2

= -1.4

EV = -$1.40

22. Each of the numbers 0 through 9 is written on a piece of paper and all of the pieces of paper are placed in a hat. One number is selected at random. Determine the probability that the number selected is even. (Points : 5)
1/2
23. Which pair has equally likely outcomes? Check the two choices below which have equal probabilities of success. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards).
(Points : 7)
drawing a three out of a standard 52 card deck given it’s not a face card or an Ace.
rolling a sum of 9 on two fair six sided dice
24. A bag contains 7 lavender marbles, 11 turquoise marbles and 5 rainbow marbles. What is the chance of drawing a rainbow marble? If a rainbow marble is drawn then placed back into the bag, and a second marble is drawn, what is the probability of drawing a lavender marble? Give solutions exactly in reduced fraction form, separated by a comma.
Total marbles = 7+11+5 = 23
First draw = 5/23
Second is 7/23
Answer:
5/23, 7/23