Returns on stocks X and Y are listed below:
Period
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
Stock X
|
3%
|
-2%
|
9%
|
6%
|
-1%
|
-4%
|
11%
|
Stock Y
|
1%
|
-4%
|
7%
|
12%
|
3%
|
-2%
|
-1%
|
What is the (population) covariance of returns on the two stocks?
Please round your answer to six decimal places.
Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.
Returns on stocks X and Y are listed below:
Period
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
Stock X
|
-5%
|
4%
|
3%
|
9%
|
1%
|
-3%
|
4%
|
Stock Y
|
12%
|
7%
|
-3%
|
-2%
|
4%
|
6%
|
-1%
|
Consider a portfolio of 60% stock X and 40% stock Y.
What is the mean of portfolio returns?
Please specify your answer in decimal terms and round your answer to the nearest thousandth (e.g., enter 12.3 percent as 0.123).
Returns on stocks X and Y are listed below:
Period
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
Stock X
|
4%
|
7%
|
-2%
|
40%
|
0%
|
10%
|
-1%
|
Stock Y
|
2%
|
-5%
|
7%
|
4%
|
6%
|
11%
|
-4%
|
Consider a portfolio of 10% stock X and 90% stock Y.
What is the (population) standard deviation of portfolio returns?
Please specify your answer in decimal terms and round your answer to the nearest thousandth (e.g., enter 12.3 percent as 0.123).
Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.
4.
Summary statistics for returns on two stocks X and Y are listed below.
|
Mean
|
Variance
|
Stock X
|
2.71%
|
0.003000
|
Stock Y
|
3.16%
|
0.005000
|
The covariance of returns on stocks X and Y is 0.003900. Consider a portfolio of 70% stock X and 30% stock Y.
What is the mean of portfolio returns?
Please specify your answer in decimal terms and round your answer to the nearest thousandth (e.g., enter 12.3 percent as 0.123).
1. Summary statistics for returns on two stocks X and Y are listed below.
|
Mean
|
Variance
|
Stock X
|
2.85%
|
0.005000
|
Stock Y
|
5.91%
|
0.006000
|
The covariance of returns on stocks X and Y is 0.002800. Consider a portfolio of 30% stock X and 70% stock Y.
What is the variance of portfolio returns?
Please round your answer to six decimal places.
Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.
A corporation produces packages of paper clips. The number of clips per package varies, as indicated below for a sample of 20 packages.
47
|
49
|
50
|
48
|
52
|
51
|
50
|
49
|
53
|
52
|
47
|
49
|
52
|
51
|
48
|
53
|
53
|
51
|
50
|
47
|
Create a probability density function.
What is the probability that a randomly chosen package contains between 49 and 52 clips (inclusive) per package?
Please specify your answer in decimal terms and round your answer to the nearest hundredth (e.g., enter 12 percent as 0.12).
Let X be a discrete random variable. If Pr(X5) = 1/4, thenwhat is Pr(X=5)?
Please specify your answer in decimal terms and round your answer to the nearest hundredth (e.g., enter 12 percent as 0.12).
Let X be a discrete random variable. If Pr(Xwhat is Pr(X=6)?
Please specify your answer in decimal terms and round your answer to the nearest hundredth (e.g., enter 12 percent as 0.12).
A department store manager has monitored the number of complaints received per week about poor service. The probabilities for numbers of complaints in a week, established by this review, are shown in the table.
Number of complaints
|
0
|
1
|
2
|
3
|
4
|
5
|
Probability
|
0.18
|
0.26
|
0.35
|
0.09
|
0.07
|
0.05
|
What is the probability of between 3 and 4 (inclusive) complaints received per week?
Please specify your answer in decimal terms and round your answer to the nearest hundredth (e.g., enter 12 percent as 0.12).
Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.
A department store manager has monitored the number of complaints received per week about poor service. The probabilities for numbers of complaints in a week, established by this review, are shown in the table.
Number of complaints
|
0
|
1
|
2
|
3
|
4
|
5
|
Probability
|
0.16
|
0.26
|
0.35
|
0.10
|
0.08
|
0.05
|
What is the median of complaints received per week?
Please round your answer to the nearest integer.
Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.
A department store manager has monitored the number of complaints received per week about poor service. The probabilities for numbers of complaints in a week, established by this review, are shown in the table.
Number of complaints
|
0
|
1
|
2
|
3
|
4
|
5
|
Probability
|
0.15
|
0.20
|
0.41
|
0.11
|
0.06
|
0.07
|
What is the standard deviation of complaints received per week?
Please round your answer to the nearest hundredth.
Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.
Consider the following sample data for the relationship between advertising budget and sales for Product A:
Observation
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
Advertising ($)
|
50,000
|
60,000
|
60,000
|
70,000
|
70,000
|
80,000
|
90,000
|
90,000
|
100,000
|
110,000
|
Sales ($)
|
299,001
|
371,000
|
364,000
|
430,000
|
440,000
|
485,000
|
535,000
|
546,000
|
595,000
|
675,000
|
What is the slope of the "least-squares" best-fit regression line?
Please round your answer to the nearest hundredth.
Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.
Consider the following sample data for the relationship between advertising budget and sales for Product A:
Observation
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
Advertising ($)
|
30,000
|
30,000
|
40,000
|
50,000
|
50,000
|
50,000
|
60,000
|
70,000
|
80,000
|
80,000
|
Sales ($)
|
179,000
|
183,000
|
253,000
|
308,000
|
301,000
|
308,000
|
376,000
|
418,000
|
486,000
|
499,000
|
What is the predicted sales quantity for an advertising budget of $57,000?
Please round your answer to the nearest integer.
Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.
Consider the following sample data for the relationship between advertising budget and sales for Product A:
Observation
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
Advertising ($)
|
40,000
|
50,000
|
50,000
|
60,000
|
70,000
|
70,000
|
80,000
|
80,000
|
90,000
|
100,000
|
Sales ($)
|
239,000
|
315,000
|
311,000
|
363,000
|
432,000
|
438,000
|
493,000
|
486,000
|
535,000
|
603,000
|
What is the R
2
coefficient of determination value for the relationship between advertising and sales?
Please round your answer to the nearest hundredth.
Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.
The completion times for a job task range from 10.1 minutes to 19.2 minutes and are thought to be uniformly distributed.
What is the probability that it will require between 12.7 and 16.8 minutes to perform the task?
Please specify your answer in decimal terms and round your answer to the nearest hundredth (e.g., enter 12 percent as 0.12).
Suppose the variable x is represented by a standard normal distribution.
What is the probability of x
Please specify your answer in decimal terms and round your answer to the nearest hundredth (e.g., enter 12 percent as 0.12).
Suppose the variable x is represented by a standard normal distribution.
What value of x is at the 80th percentile of the distribution? Equivalently, what is the value for which there is a probability of 0.80 that x will be less than that value?
Please round your answer to the nearest hundredth.
Major league baseball game durations are normally distributed with a mean of 160 minutes and a standard deviation of 50 minutes.
What is the probability of a game duration of between 180 and 210 minutes?
Please specify your answer in decimal terms and round your answer to the nearest hundredth (e.g., enter 12 percent as 0.12).
Suppose the daily customer volume at a call center has a normal distribution with mean 5,100 and standard deviation 750.
What is the probability that the call center will get fewer than 4,400 calls in a day?
Please specify your answer in decimal terms and round your answer to the nearest hundredth (e.g., enter 12 percent as 0.12).
The sales department has determined that the average purchase value for their catalog business is normally distributed with a mean of $48.62 and a standard deviation of $11.43.
What is the purchase value at the 10th percentile?
Please round your answer to the nearest cent.
The duration of shoppers' time in BrowseWorld's new retail outlets is normally distributed with a mean of 34.9 minutes and a standard deviation of 9.2 minutes.
How long must a visit be to put a shopper in the longest 40 percent?
Please round your answer to the nearest tenth.