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Suppose a computer company sells service plans for their laptop computers. Each service plan costs $250 and lasts for three years. The service plan covers any genuine hardware malfunctions during the warranty period but will only allow for up to one claim. Suppose that the average cost of repair is $850. Suppose also that the likelihood of a warranty claim is 22%. Let x denote the discrete random variable that represents the amounts the company (i) makes from a service plan for a person that makes no claims and (ii) loses for a service plan for a person that makes one claim. Please complete the following tasks.

1. Construct a probability distribution for x.

2. Use the probability distribution to calculate the expected value μ.

3. Write an explanation for what the expected value tells us as it relates to the company’s profits on service plans. Make sure you are very specific and include units.

4. By how much does the company need to raise the price of a service plan to increase their expected value by $50? Show your work.

Cars on Campus. Statistics students at a community college wonder whether the cars belonging to students are, on average, older than the cars belonging to faculty. They select a random sample of 11 cars in the student parking lot and find the average age to be 7.5 years with a standard deviation of 5.6 years. A random sample of 20 cars in the faculty parking lot have an average age of 4.2 years with a standard deviation of 4 years.

1. The null hypothesis is H0:μs=μfH0:μs=μf. What is the alternate hypothesis?
A. HA:μs>μfHA:μs>μf
B. HA:μs<μfHA:μs<μf
C. HA:μs≠μfHA:μs≠μf

2. Calculate the test statistic.  ? z t X^2 F  =

3. Calculate the p-value for this hypothesis test.
p value =

4. Suppose that students at a nearby university decide to replicate this test. Using the information from the community college, they calculate an effect size of 0.72. Next, they obtain samples from the university student and faculty lots and, using their new sample data, conduct the same hypothesis test. They calculate a p-value of 0.0149 and an effect size of 0.423. Do their results confirm or conflict with the results at the community college?
A. It can neither confirm or contradict the community college results because we don't know the sample sizes the university students used.
B. It contradicts the community college results because the p-value is much bigger
C. It confirms the community college results because the p-value is much smaller.
D. It confirms the community college results because the effect size is nearly the same.
E. It contradicts the community college results because the effect size is much smaller.

Anabelle is the Facilities Manager for a university. She is considering an opportunity that involves renting food vending machines and placing them in various locations throughout the university. This would allow students and staff to conveniently access a quick range of similarly priced food items for snacking “pick-me-up” purposes. (Assume a non-COVID-19 state of affairs on campus.) As a not-for-profit university, the main aim is to cover all costs. If any profits are made, they will be used to boost student support services.

For the purposes of analysing this opportunity, Anabelle has the following estimates:

Per unit (food item) forecasts:

Average selling price of each food item:                 $2.00

Average variable cost of each food item:                $1.60

Annual fixed cost forecasts:                                        

Rental                                                   $12,000

Labour                                                  $10,000

Other fixed expenses                     $2,000

Anabelle has asked you to undertake a cost-volume-profit analysis of the opportunity.

a) Calculate the contribution per unit and the contribution margin ratio.

b) Calculate the break-even point in number of food items and in dollars of revenue.

c) Calculate the sales (in units) needed to earn a target annual profit of $2,000

d) The vending machine owner initially offered Anabelle a fixed rental fee option. However, the owner has since provided another rental agreement option: a $9,000 fixed rental plus 2.5% of revenues from the sale of food items. Calculate the break-even point in units under this option and briefly explain from the university’s perspective which rental agreement option might be preferred. Your explanation should not exceed 100 words.

Topic : Consolidation: Non-controlling interests

On 1 July 2016, Poppy Ltd acquired 80% of the issued shares of Sunshine Ltd for $240 000 when the equity of Sunshine Ltd consisted of:

share capital $160000

general reserve $10000

retained earnings $59000

At this date, all identifiable assets and liabilities of Sunshine Ltd were recorded at fair value except for the following.

carrying amount fair value

inventories $ 10000 $14 000

plant (cost $220 000) 90 000 99 000

land 70 000 87 000

Half of the inventories were sold by 30 June 2017 and the remainder by 30 June 2018. The plant has a further 3-year life beyond 1 July 2016, with benefits to be received evenly over this period. The land was sold on 1 March 2020 to an external party. Adjustments for the differences between carrying amounts and fair values are to be made in the consolidation worksheet. Poppy Ltd uses the partial goodwill method. The tax rate is 30%.

During the 4 years since acquisition, Sunshine Ltd has recorded the following annual results and declared the following dividends.

Dividends were paid within 6 weeks of the end of each period. There have been no transfers to or from the general reserve since the acquisition date.

Required:

1. Prepare the consolidation worksheet entries as at 1 July 2016.

2. Prepare the consolidation worksheet entries for the year ended 30 June 2018.

what is need to be done is mentioned in the required field and be able to explain the relationships that exist between a parent company and its subsidiary(ies), an investor and its investee;

USING THE TABLE ABOVE PLEASE ENTER USING FORMULAS OR ENTER MANUALLY FOR THE FINANCIAL STATEMENT BELOW.

PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER. THANK YOU