We made the shift from working with discrete random variables back in Unit 2 to now working with continuous random variables. Highly important for the rest of the course is our ability to use the Normal Distribution, in which we either find a probability from a range of values of the normally distributed variable X or we find a range of values from a given probability.
We will use shorthand notation (review LM 09 for how to use this notation) and probability notation for random variables (review LM 09 and LM 07 as needed) when working with normally distributed random variables. Suppose the vitamin C content of a particular variety of orange is distributed normally with mean 720 IU and standard deviation 46 IU. If we designate
X = the vitamin C content of a randomly selected orange,
then our shorthand notation is
X~N(720 IU, 46 IU).
Use this distribution of vitamin C content to answer the following questions:
3pt 1) What is the probability that a randomly selected orange will have less than 660 IU? Using X as the random variable, state your answer as a probability statement using the probability notation developed in the learning module.
3pt 2) What is the 80th percentile of the of the distribution of vitamin C content of the oranges?
1pt 3) What proportion of oranges exceed the vitamin C content you found in part (2) above?
3pt 4) What range of vitamin C content values represent the middle 80% of the distribution? State your answer as a probability statement using the probability notation developed in the learning module.
Extra Credit:
3pt EC Suppose Y~N( 280 mg, 20 mg). Find Y1 such that P( Y > Y1) = 0.0250. State your answer in the form of a complete sentence without using any probability notation.
In: Statistics and Probability
Currently in Latin America’s biggest economy, the number of unemployed persons in Brazil is around 11.9 million. The following are based on the data showing the state of the Brazilian economy in 2019-20: Unemployment rate = 11.2% Underemployment rate = 24.6% Real GDP growth rate = 0.5%
a. What is the ‘underutilisation rate’? Describe how the ‘underutilisation rate’ is a more effective measure of underemployment in the Brazilian economy than the ‘unemployment rate’.
b. Assume that a real GDP per capita growth rate of 3.5% and a natural unemployment rate of 6.0% correspond to the ‘bliss point’, i.e. the long run, full-employment GDP equilibrium in Brazil. Use a well-labelled AD/AS diagram to show the position of this economy in 2020. Explain how the government can use expansionary fiscal policy to move the economy back to the long run, full-employment GDP equilibrium. Draw the AD curve shift(s) associated with this policy on your diagram.
In: Economics
1. The information in the table below shows what the situation will be in 2017 if Congress and the President do not use fiscal policy.
|
Year |
Potential GDP |
Real GDP |
Price Level |
|
2016 |
$17.5 |
$17.5 |
112.8 |
|
2017 |
$18.1 |
$17.8 |
114.2 |
(1) If the Congress and the President want to keep real GDP at its potential level in 2017, should they use an expansionary policy or contractionary policy? In your answer, be sure to explain whether Congress and the President should increase or decrease government purchases and taxes.
(2) If the Congress and the President are successful in keeping real GDP at its potential level in 2017, state whether each of the following will be higher, lower, or the same as it would have been if they had taken no action. (Note: you are comparing the variables at the new equilibrium point with the ones at the old equilibrium point in which the policy hasn’t been implemented.)
(a) Real GDP
(b) Potential GDP
(c) The inflation rate
(d) The unemployment rate
In: Economics
What are some of the signs, features, and behaviours associated with schizophrenia?
Have you ever known anyone with schizophrenia? Being as honest as you care to be, does being around someone with this illness create some anxiety or fear for you?
You now know that people who commit certain acts (perhaps violence) may suffer from psychosis, delusions, and hallucinations which is often associated with schizophrenia. How would you explain this phenomenon to your friends and family?
Reviewing some of your classmate's postings, what have you learned about other's who have the first-hand experience of schizophrenia. What are your thoughts about this? Are you surprised about any aspects? What do you know now, that you didn't know before reading about their experiences?
http://www.youtube.com/watch?v=x_y-guabRxE Who Gets Me? Schizophrenia (Ontario) Fanshawe College film
Brief in 1200 words
In: Psychology
In: Psychology
Employees at Cutting Edge disagree about the accounting for sales returns. The sales manager believes that granting more generous returns policy can give the company a competitive edge and increase sales revenue. The controller cautions that, depending on the terms granted, loose return provisions might lead to non-GAAP revenue recognition. The company CFO would like you to research the issue to provide an authoritative answer.
Required: Prepare a research report using authoritative literature addressing revenue recognition when right of return exits and describe the accounting when there is a right of return. Include what is meant by “right of return” in your report. Your research report should include a discussion of the relevant FASB Codification section (s) that you used in developing report. Summarize what you discovered in your research in your own words – do not simply quote from the Codification. The research report should be no longer than two pages in length, single-spaced, and contain proper citations following APA Style format.
In: Accounting
Government allegation and prosecution of white collar crime is a major risk for corporations and management. Complying with all laws and regulations has never been more important.
(1) Criminal Liability explaining the two parts of a crime: the act or omission (actus reus) and the subjective state of mind (mens rea); (2) Individual Liability for Business Crimes explaining strict liability and the Park Doctrine. What are your thoughts about strict liability for corporate crimes? What does this mean for you as a corporate manager, officer, or director?
In: Operations Management
Answer at least one of the question above . Thanks
In: Computer Science
13. The following table identifies a group of children by one of four hair colors, and by type of hair.
|
Hair Type |
Brown |
Blond |
Black |
Red |
Totals |
|
Wavy |
21 |
16 |
5 |
48 |
|
|
Straight |
78 |
13 |
14 |
||
|
Totals |
19 |
218 |
part (b)
What is the probability that a randomly selected child will have wavy hair? (Enter your answer as a fraction.)
Part (c)
What is the probability that a randomly selected child will have
either brown or blond hair? (Enter your answer as a
fraction.)
Part (d)
What is the probability that a randomly selected child will have
wavy brown hair? (Enter your answer as a fraction.)
Part (e)
What is the probability that a randomly selected child will have
red hair, given that he has straight hair? (Enter your answer as a
fraction.)
Part (f)
If B is the event of a child having brown hair, find the
probability of the complement of B. (Enter your answer as a
fraction.)
Part (g)
If B is the event of a child having brown hair, what does the
complement of B represent?
The complement of B would be the event of a child having blond or black hair.
The complement of B would be the event of a child having wavy or straight hair.
The complement of B would be the event of a child not having brown hair.
The complement of B would be the event of a child having blond hair.
In: Statistics and Probability
Missouri Can Company Develop a five-year strategic plan with cost estimates and a time line. It should be 5-7 double-spaced, typed (12 point) pages plus exhibits. Your plan should include/address the following points: 2. List your specific recommendations for the firm in detail. Analyze and address all four divisions. Explain why each recommendation was made including the information used and the logic (or analysis) applied to reach your conclusion. As you prepare your analysis, remember that no decision is complete until the financial impact of the decisions is determined. Don't forget that no strategic plan is complete with a financial analysis. Their current cost of capital is 10%
In: Accounting