Criminal Court Judges Criminal cases are assigned to judges randomly. The list of the criminal judges for Memphis, Tennessee (taken from the Tennessee Court System website, www.tsc.state.tn.us), is given in the table. Assume that only Carolyn Blacken and Paula Skahan are women and the rest are men. If you were a criminal defense attorney in Memphis, you might be interested in whether the judge assigned to your case was a man or a woman. James C. Beasley Carolyn W. Blacken Lee V. Coffee Chris Craft John T. Fowlkes W. Otis Higgs James M. Lammey Paula L. Skahan W. Mark Ward Suppose the names are put into a pot, and a clerk pulls a name out at random. a. List the equally likely outcomes that could occur; last names are enough. b. Suppose the event of interest, event A, is that a judge is a woman. List the outcomes that make up event A. c. What is the probability that one case will be assigned to a female judge? d. List the outcomes that are in the complement of event A.
Criminal Court Judges Criminal cases are assigned to judges randomly. The list of the criminal judges for Memphis, Tennessee (taken from the Tennessee Court System website, www.tsc.state.tn.us), is given in the table. Assume that only Carolyn Blacken and Paula Skahan are women and the rest are men. If you were a criminal defense attorney in Memphis, you might be interested in whether the judge assigned to your case was a man or a woman. James C. Beasley Carolyn W. Blacken Lee V. Coffee Chris Craft John T. Fowlkes W. Otis Higgs James M. Lammey Paula L. Skahan W. Mark Ward Suppose the names are put into a pot, and a clerk pulls a name out at random. a. List the equally likely outcomes that could occur; last names are enough. b. Suppose the event of interest, event A, is that a judge is a woman. List the outcomes that make up event A. c. What is the probability that one case will be assigned to a female judge? d. List the outcomes that are in the complement of event A.
Solution Summary: The author states the equally likely outcomes in an experiment of assigning a criminal case to one of the 9 judges randomly.
Criminal Court Judges Criminal cases are assigned to judges randomly. The list of the criminal judges for Memphis, Tennessee (taken from the Tennessee Court System website, www.tsc.state.tn.us), is given in the table. Assume that only Carolyn Blacken and Paula Skahan are women and the rest are men. If you were a criminal defense attorney in Memphis, you might be interested in whether the judge assigned to your case was a man or a woman.
James C. Beasley
Carolyn W. Blacken
Lee V. Coffee
Chris Craft
John T. Fowlkes
W. Otis Higgs
James M. Lammey
Paula L. Skahan
W. Mark Ward
Suppose the names are put into a pot, and a clerk pulls a name out at random.
a. List the equally likely outcomes that could occur; last names are enough.
b. Suppose the event of interest, event A, is that a judge is a woman. List the outcomes that make
up event A.
c. What is the probability that one case will be assigned to a female judge?
d. List the outcomes that are in the complement of event A.
Definition Definition For any random event or experiment, the set that is formed with all the possible outcomes is called a sample space. When any random event takes place that has multiple outcomes, the possible outcomes are grouped together in a set. The sample space can be anything, from a set of vectors to real numbers.
Compute the relative risk of falling for the two groups (did not stop walking vs. did stop). State/interpret your result verbally.
Microsoft Excel include formulas
Question 1
The data shown in Table 1 are and R values for 24 samples of size n = 5 taken from a process producing
bearings. The measurements are made on the inside diameter of the bearing, with only the last three decimals
recorded (i.e., 34.5 should be 0.50345).
Table 1: Bearing Diameter Data
Sample Number
I
R
Sample Number
I R
1
34.5
3
13
35.4
8
2
34.2
4
14
34.0
6
3
31.6
4
15
37.1
5
4
31.5
4
16
34.9
7
5
35.0
5
17
33.5
4
6
34.1
6
18
31.7
3
7
32.6
4
19
34.0
8
8
33.8
3
20
35.1
9
34.8
7
21
33.7
2
10
33.6
8
22
32.8
1
11
31.9
3
23
33.5
3
12
38.6 9
24
34.2
2
(a) Set up and R charts on this process. Does the process seem to be in statistical control? If necessary,
revise the trial control limits. [15 pts]
(b) If specifications on this diameter are 0.5030±0.0010, find the percentage of nonconforming bearings pro-
duced by this process. Assume that diameter is normally distributed. [10 pts]
1
Elementary Statistics: Picturing the World (7th Edition)
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