Midterm help
EXAM 1
STAT 200
(All answers go directly on this exam.
Scrap paper can be attached separately.)
Name:
All Time Box Office Revenues Aggregated by Months (used for questions 5 – 7)
|
Rank |
Month |
Gross |
Movies Tracked |
|
1 |
February, 2009 |
769,343,640 |
161 |
|
2 |
February, 2010 |
754,693,066 |
173 |
|
3 |
February, 2008 |
695,270,466 |
193 |
|
4 |
February, 2004 |
666,141,251 |
201 |
|
5 |
February, 2007 |
639,647,238 |
176 |
|
6 |
February, 2003 |
631,460,961 |
207 |
|
7 |
February, 2005 |
629,957,988 |
185 |
|
8 |
February, 2006 |
625,426,175 |
193 |
|
9 |
February 2002 |
592,353,345 |
98 |
|
10 |
February, 2001 |
580,492,961 |
95 |
1. Calculate the standard deviation for the movies tracked.
2. Which of the measures of center is most affected by the degree of skew in the distribution? Explain.
3. Shown in the following table are the reported annual deaths of males aged 75 or over from 1 of the 5 leading types of cancer:
|
Site of Cancer |
Number of Deaths |
|
Lung Prostate Colon or Rectum Stomach Pancreas |
12,225 10,834 8,426 3,035 3,030
|
For a randomly selected deceased male cancer victim, what is the probability that
a) he died of 1 of the 2 primary causes?
b) He died of cancer of either the stomach or the pancreas?
c) He did not die of lung cancer?
4. Out of every 100 keys, one 60 will start a car on the game show – The Price is Right. Two keys are chosen by the Alfredo.
a) What is the probability that both keys will start the car?
b) What is the probability that neither of the keys will start the car?
5. A review of the records at Versailles Community College revealed the following ethnic breakdown of the student population:
Caucasian 1100
Black 660
Hispanic 240
Asian 80
Native American 50
Other 20
a) What is the probability that a randomly selected student is either
Caucasian or Black?
b) What is the probability that the selected student is not a member of either of the two largest categories?
6. If you randomly select a card from a deck of 52 cards, what is the probability of selecting a black card?
7. A sack contains 8 red paper clips, 10 white paper clips and 4 blue paper clips. What is the probability of pulling out a blue paper clip?
8. What is the probability that a card drawn at random from a pack of 52 cards is either a spade or a face card?
9. What is the probability of getting three heads in three tosses of an unbiased coin?
10. Obtain the population standard deviation, O, for the given data. Assume that the data represent population data. Round your final answer to one more decimal place than that used for the observations.
The number of years of teaching experience is given below for 12 high school teachers.
|
19 |
24 |
22 |
19 |
12 |
19 |
|
17 |
8 |
5 |
13 |
22 |
31 |
Obtain the population standard deviation.
Find the median and standard deviation for the data.
11. Kamryn is currently taking Chemistry 101. On the five laboratory assignments for the quarter, here are the scores:
30 39 18 49 54
Compute the range and standard deviation.
12. Dr. D went to MGM Springfield casino while the class was taking their midterm exam. He played a Konami machine entitled 88 Fortunes. A slot attendant accidently left the slot manual next to the machine. In the machine it indicated: Let 1 = Win and 0 = Loss. The output from the next 40 games when the machine is rebooted is as follows:
1 0 0 0 0 1 1 0 0 0 1 1 1 0 0 1 1 1 1 0 1 1 0 0 1 0 0 0 1 1 1 0 1 0 1 0 1 0 0 1
What is the probability that Dr. D will win on a spin?
What is the probability that Dr. D will lose two spins in a row?
13. In Summer of 2022, Tiara wants to visit 8 different cities. How many different routes are possible?
14. 100 employees, both Full-time Employees (FT) and Part-time employees (PT) of
Leviker Realty are asked how they get to work and whether they work full time
or part time. Based on the data below, if one of the 100 employee is randomly
selected, find the probability that the person drives alone or cycles to work.
A. Bus: 8 FT, 9 PT
B. Bicycle: 28 FT, 31 PT
C. Drive alone: 3 FT, 3 PT
D. Carpool: 9 FT, 9 PT