1. Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing three red marbles, five green ones, two white ones, and two purple ones. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms. HINT [See Example 1.

She has all the red ones.

2. Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, five green ones, three white ones, and three purple ones. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms. HINT [See Example 1.]

She has at least one green one.

3. Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, two green ones, five white ones, and three purple ones. She grabs five of them. Find the probability of the following event, expressing it as a fraction in lowest terms. HINT [See Example 1.]

She has two red ones and one of each of the other colors.

4. Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, four green ones, three white ones, and two purple ones. She grabs five of them. Find the probability of the following event, expressing it as a fraction in lowest terms. HINT [See Example 1.]

She has two green ones and one of each of the other colors.

5. Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing three red marbles, two green ones, four white ones, and one purple one. She grabs seven of them. Find the probability of the following event, expressing it as a fraction in lowest terms. HINT [See Example 1.]

She does not have all the red ones.

6. Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, three green ones, two white ones, and two purple ones. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms. HINT [See Example 1.]

She does not have all the green ones.

For a sample of 12 trees, the volume of lumber (in m³) and the diameter ( in cm ) at a fixed height above the ground level was measured. The results were as follows.

Use Excel sheet

a)Construct a scatterplot of volume ( y ) versus diameter ( x ). using Excel

b)Compute the least-square line for predicting volume from diameter.

c)Compute the fitted value and residual for each point. d)If two trees differ in diameter by 8 cm, by how much would you predict their volume to differ?

e)Predict the volume of a tree whose diameter is 44 cm.

f)For what diameter would you predict a volume of 1m³

General Shop began as a maker of industrial drafting equipment. After several successful years, the company has graduated into making two popular products: a plotter and a 3D printer. Both products have the same variable costs as shown below.

Variable costs per unit:

In order to maintain good customer service, General Shop keeps about 500 units of each product on hand as warehouse inventory.

The company has a long-term contract to rent manufacturing equipment and the necessary space for $9,000,000 per year. General & administrative costs amount to $2,100,000 per year.

Costs and unit sales are expected to be consistent from last year to the current year. Based on last years’ results, General Shop expects to sell 10,000 units of each product this year. The plotters are priced at $800 and the 3D printers at $1,000.

Jennifer, president of the company, is considering how best to motivate her managers. She feels it is fair to provide bonuses once the company’s operating income is 5% above the expected operating income.

Required:

1. Prepare a contribution format income statement for General Shop using variable costing.
2. Prepare an income statement for General Shop using absorption costing.

Suppose you want to test whether the average number of students who show up for face to face classes at SVSU is less than 10. You collect the following data:

What is your t-statistic?  

Let's say you decide on α=.05. What is your t-critical value?

What do you conclude based on the previous two answers?

a.Do not reject the null. There is sufficient evidence the number of students is less than 10.

b.Reject the null. There is sufficient evidence that the number of students is greater than or equal to 10.

c.Reject the null. There is sufficient evidence the number of students is less than 10.

d.Do not reject the null. There is insufficient evidence the number of students is less than 10.

Units 1 Marginal Utility 10 8 5 Marginal Utility 12 2 Total Utility 1018 23 262727 27 10 7 5 3 4 5 6 7 Total Utility 22 2934 3637 37 31 TABLE 6-1 Refer to Table 6-1 . If the prices of both toffee bars and bags of cashews are $ 2 and this consumer has $ 14 per week to spend on these two snacks , what is the maximum total utility achievable ? 57 10 3315 45

Suppose the Fed is considering two different policy rules, shown in the following table. Graph the policy rules.

Inflation(0 2 4 6 8 ) Policy Rule 1 Interest Rate (1 3 5 7 9)Policy Rule 2 Interest Rate (3 5 7 9 11)

If the Fed currently is following Policy Rule 1 and then shifts to Policy Rule 2, which way will the aggregate demand curve shift? What reasons might the Fed have for changing its policy?

) A bond's market price is $950. It has a $1,000 par value, will mature in 14 years, and has a coupon interest rate of 8 percent annual interest, but makes its interest payments semiannually. What is the bond's yield to maturity? What happens to the bond's yield to maturity if the bond matures in 28 years? What if it matures in 7 years? (Round to two decimal places.) The bond's yield to maturity if it matures in 14 years is % The bond's yield to maturity if it matures in 28 years is % The bond's yield to maturity if it matures in 7 years is %

1) Find the appropriate measure of center. Discuss why the chosen measure is most appropriate. Why did you decide against other possible measures of center? 2) Find the appropriate measure of variation. The measure of variation chosen here should match the measure of center chosen in Part 1. 3) Find the graph(s) needed to appropriately describe the data. These may be done by hand and inserted into the Word document. 4) Define a random variable (X) so that your chosen data set represents values of X. 5) Is your chosen random variable discrete or continuous? Explain how you know. 6) Would the Normal or Binomial distribution be a good fit for the underlying sample distribution of X? If one of them is a good fit, state how you would approximate the distribution parameters. 7) Calculate the probability that a flight will depart early or on time. 8)Calculate the probability that a flight will arrive late. 9) Calculate the probability that a flight departs late or arrives early. 10 ) Assume now that the random variable X = Arrival Time is exactly normally distributed with mean, mu = -2.5, and standard deviation, sigma = 23. Compute the probability of a flight arriving late based on this new information. Does this contradict your answer from Part 8?

Classify the following quality costs as prevention costs, appraisal costs, internal failure costs, or external failure costs:

1. Internal audit to ensure that quality guidelines and processes are being followed

2. Repairing products in the field
3. Providing engineering assistance to selected suppliers to improve their product quality

4. Correcting a design error discovered during product development

5. Settling a bodily injury law suit caused by a defective product

6. Customer complaint department
7. Quality control circles

8. Continuing supplier verification

9 Redesigning a product to eliminate a product defect

10 Lost sales because of product quality concerns

Using the data in the following​ table,   

2010   2011   2012   2013   2014   2015
Stock A   -10%   20%   5%   -5%   2%   9%
Stock B   21%   7%   30%   -3%   -8%   25%

consider a portfolio that maintains a 50% weight on stock A and a 50% weight on stock B.

a. What is the return each year of this​ portfolio?

b. Based on your results from part ​(a​), compute the average return and volatility of the portfolio.