Six names will be drawn from a group of H+2 freshmen, F+L sophomores, 2*(H-1) juniors, and 2*H seniors. Calculate (rounding your answers to three decimal places) the probability that:

a. freshmen, sophomores and juniors are equally represented. Ans.___________

b. the number of freshmen drawn equates the number of sophomores and juniors drawn. Ans.___________

c. the ratio of drawn seniors to drawn sophomores is 3:1. Ans.___________

d. the ratio of drawn juniors to drawn freshmen is at least 3:1. Ans.___

H = 6

T = 27

F = 3

L = 7

S = 47

Please do it correctly and need to show steps

Question 6 – 8 refer to prospect H and K below

? = ($100, 0.4; $200, 0.6) ? = ($120, ?; $300, 1 − ?)

6. ?V(?) = ?V(?). What value of p makes this statement true?

7. Carol owns prospect H and is interested in selling it. Her utility of wealth function is given by ?(?) = ?^0.5. What is the lowest price for which Carol would be willing to sell prospect H?

8. True or False: The lowest value of K is greater than the lowest value of H, and the highest value of K is greater than the highest value of H, so everyone – regardless of risk preferences – will prefer K to H.

Assume the maximum time allowed is only 3,900 per day.
Calculate and compare the profitability of the following scenarios:
I. The product with the highest contribution margin prioritized.
II. The product with the highest contribution margin per unit of constrained resource is prioritized.
B
How do managers ensure the optimal usage of constrained resources?

The expected distribution (from previous years) on an exam roughly follows a normal curve in which the highest scoring 2.5% of the students get As; the next highest scoring 14%, Bs; the next 67%, Cs; the next 14%, Ds; and the lowest 2.5%, Fs.

A class takes a test using a new grading system and 10 students get As, 34 get Bs, 140 get Cs, 10 get Ds, 6 get Fs. Can you conclude that the new system produces a different distribution of grades using .01 level?

Give: null, alternative, chi-square statistic, chi-square critical, decision, and conclusion.

Need some clarification on the following:

I am currently working on an assignment with the following question:

- Identify the commands that are generally causing the highest load on your system and discuss your perspectives on why they cause such a load. Discuss your perspectives on the considerations system administration must give while using these commands.

In my research, I can only find linux commands used to identify high loads on a linux system, but as we can see the question seems ask us to identify the commands that are causing the highest load, and then explain why from the perspective of a system admin.

Can someone clarify this for me?

1. The annual returns of three stocks for the past seven years are given in the following table:

1. Determine the average return and the standard deviation of returns for each stock. Which stock has the highest expected return and which one has the highest risk?
2. Determine the correlation coefficient and the covariance between each pair of stocks.

You are managing a portfolio and considering whether to adopt either one of two trading strategies. In the value strategy, you would hold a portfolio consisting of the 300 stocks with the highest book-to-market ratio. In the seasonality strategy, you would hold a portfolio consisting of the 300 stocks with the highest returns in the upcoming calendar month of the previous year. In both cases, you would rebalance portfolios at the end of each month. Suppose you forecast that both strategies would earn the same average monthly return (before trading costs) and same monthly standard deviation. Which strategy would you follow and why?

Question 3(a):
When customers arrive at Cool's Ice Cream Shop, they take a number and wait to be called to purchase ice cream from one of the counter servers. From experience in past summers, the store's staff knows that customers arrive at a rate of 150 per hour on summer days between 3:00 p.m. and 10:00 p.m., and a server can serve 1 customer in 1 minute on average. Cool's wants to make sure that customers wait no longer than 10 minutes for service. Cool's is contemplating keeping three servers behind the ice cream counter during the peak summer hours.
(i) Will this number be adequate to meet the waiting time policy?
(ii) What will be the probability that 3 to 4 customers in Shop?
(iii) In winter season, arrival rate of customer is reduced to half from 3:00 p.m. and 10:00 p.m. What decision should be taken by the owner according to cost cutting point of view?
Question 3(b):
Analysis of arrivals at a PSO gas station with a single pump (filler) has shown the time between arrivals with a mean of 10 minutes. Service times were observed with a mean time of 6 minutes.
(i) What is the probability that a car will have to wait?
(ii) What is the mean number of customers at the station?
(iii) What is the mean number of customers waiting to be served?
(iv) PSO is willing to install a second pump when convinced that an arrival would expect to wait at least twelve minutes for the gas. By how much the flow of arrivals is increased in order to justify a second booth?

Sales Territory and Salesperson Profitability Analysis

Havasu Off-Road Inc. manufactures and sells a variety of commercial vehicles in the Northeast and Southwest regions. There are two salespersons assigned to each territory. Higher commission rates go to the most experienced salespersons. The following sales statistics are available for each salesperson:

a. 1. Prepare a contribution margin by salesperson report. Calculate the contribution margin ratio for each salesperson.

a. 2. Interpret the report.

Paul earns the highest  contribution margin and has the highest  contribution margin ratio. This is because he sells the most  units, has a low  commission rate, and sells a product mix with a high  manufacturing margin. Steve also sells products with a high  average manufacturing margin but at a high  commission rate. Colleen has the poorest  contribution margin ratio among the four salespersons. Although Rene has a high variable cost of goods sold and also sells products with a low  average sales price per unit, she has the second highest  total contribution margin.

b. 1. Prepare a contribution margin by territory report. Calculate the contribution margin for each territory as a percent, rounded to one decimal place.

b. 2. Interpret the report.

The Southwest Region has $ more sales and $ more contribution margin. In the Southwest Region, the salesperson with the highest sales unit volume, has the highest  contribution margin ratio. The Southwest Region has the highest  performance, even though it also has the salesperson with the lowest  contribution margin and contribution margin ratio. The Northeast Region contribution margin is less  than the Southwest Region because of the outstanding performance of Paul .