Discuss the below:
Q1: A survey conducted by the Northwestern University Lindquist-Endicot Report asked 320 companies about the procedures they use in hiring. Only 54 %% of the responding companies review the applicant's college transcript as part of the hiring process, and only 44% consider faculty references. Assume that these percentages are true for the population of the companies in the United States and that 35% of all companies use both the applicant's college transcript and faculty references.
a. What is the probability that a randomly selected company uses either faculty references or college transcript as part of the hiring process?
b. What is the probability that a randomly selected company uses either raculty references or college transcript but not both as part of the hiring process?
c. What is the probability that a randomly selected company uses neither faculty references nor college transcript as part of the hiring process?
d. Construct a joint probability table for this problem and indicate the locations of your answers for parts (a), (b), and (c) on the table.
Q2: The Air Transportation Association of America publishes figures on the busiest airports in the United States. The following frequency distribution has been constructed from these figures for a recent year. Assume these are population data.
| Number of passengers arriving and departing |
Number of airports |
| (millions) |
|
| 20 under 30 |
8 |
| 30 under 40 |
7 |
| 40 under 50 |
1 |
| 50 under 60 |
0 |
| 60 under 70 |
3 |
| 70 under 80 |
1 |
a. Calculate the mean of these data
b. Calculate the mode
c. calculate the median
d. calculate the variance
e. calculate the standard deviation
Q3: The U.S. Department of the Interior releases figures on mineral production. Following are 15 leading states in nonfuel mineral production in the United States in 2008
| State |
Value ($ in billions) |
| Arizona |
7.84 |
|
| Nevada |
6.48 |
|
| Florida |
4.2 |
|
| Utah |
4.17 |
|
| California |
4 |
|
| Texas |
3.3 |
|
| Minnesota |
3.21 |
|
| Alaska |
2.74 |
|
| Missouri |
2.08 |
|
| Colorado |
2.05 |
|
| Michigan |
2.05 |
|
| Wyoming |
1.89 |
|
| Georgia |
1.85 |
|
| New Mexico |
1.81 |
|
| Pennsylvania |
1.68 |
|
a. Calculate the mean, median, and mode
b. Calculate the range, interquartile range, mean absolute deviation, sample variance, and sample standard deviation
c. Compute the Pearsonian coefficient of skewness for these data
d. Sketch a box-and-whisker plot
Q4: Use the values in the joint probability table to solve the equations given.
|
E |
F |
| A |
0.10 |
0.03 |
| B |
0.04 |
0.12 |
| C |
0.27 |
0.06 |
| D |
0.31 |
0.07 |
a. P(A U F) =
b. P(E U B) =
c. P(B U C) =
d. P(E U F) =