The number of female customers arriving to a coffee shop follow a Poisson process with a mean rate of 3 per hour. The number of male customers arriving to the same coffee shop also follow a Poisson process with a mean rate of 6 per hour and their arrival is independent of the arrivals of female customers.

a) What is the probability that the next customer will arrive within 5 minutes?

b) What is the probability that exactly thee customers will arrive in the next 5 minutes?

c) What is the probability of exactly two male and exactly one female customer will arrive in the next 5 minutes?

d). Parts b) and c) ask for the probability of exactly three arrivals in the next 5 minutes. Are they identical? Explain why?

e) What is the probability of exactly five customers will arrive between 6 and 7 hours from now?

10. Bill's Produce does 60 percent of its business during June, July, and August.

Required:

3.3) A small market orders copies of a certain magazine for its magazine rack each week. Let X = demand for the magazine, with the following pmf.

Suppose the store owner actually pays $2.00 for each copy of the magazine and the price to customers is $4.00. If magazines left at the end of the week have no salvage value, is it better to order three or four copies of the magazine? [Hint: For both three and four copies ordered, express net revenue as a function of demand X, and then compute the expected revenue.]

*What is the expected profit if three magazines are ordered? (Round your answer to two decimal places.)

*What is the expected profit if four magazines are ordered? (Round your answer to two decimal places.)

*How many magazines should the store owner order?

-3 magazines

-4 magazines

To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, a chemical company obtained the following data on the time (in minutes) needed to mix the material.

Find the value of the test statistic. (Round your answer to two decimal places.)

_________.

Find the p-value. (Round your answer to three decimal places.)

p-value = ______.

At the α = 0.05 level of significance, use Fisher's LSD procedure to test for the equality of the means for manufacturers 1 and 3.

Find the value of LSD. (Round your answer to two decimal places.)

LSD = _________.

Find the pairwise absolute difference between sample means for manufacturers 1 and 3.

  [x₁ − x₃]=________.

Antonio’s Car Services provides maintenance services for motorized vehicles. In March 2018, Rick placed an order for a new set of tires for $350. When a customer purchases goods or services in excess of $300, Antonio’s gives the customer a 25% discount coupon for future purchases made in the next three months. Antonio’s estimates that approximately 80% of customers utilize the coupon and that on average those customers will purchase goods or services that typically sell for $75.

Required:
(a) How many performance obligations are in Rick’s contract?
(b) Prepare a journal entry to record revenue for this transaction, assuming that Antonio’s uses the residual method to estimate the stand-alone selling price of new tires sold without the discount coupon.

You have the following information regarding AJH Company:

Sales 25,000 units per year at $45 per unit

Production 30,000 units in 2004

At the beginning of 2004 there was no inventory.

Direct Materials are $12.00 per unit

Direct labor is $10.00 per unit

Variable manufacturing overhead costs are $8.00 per unit

Fixed manufacturing overhead costs are $150,000 per year

Marketing costs are all variable at $3.00 per unit

Administrative costs are all fixed at $75,000 per year

Required:

(a.) Prepare an income statement under absorption costing for 2004

(b.) Prepare an income statement under variable costing for 2004

(c.) Prepare an income statement under throughput costing for 2004.

This is the complete question. I think an Anova needs to be done to it?

Clinical Trial

Between 2004 and 2007, the National Institutes of Health conducted a STEP vaccine clinical trial—Phase IIB "test-ofconcept" study.

The STEP study is the name of a clinical trial to test an experimental human immunodeficiency virus (HIV) vaccine. The STEP study enrolled 3,000 participants at sites in Australia, Brazil, Canada, the Dominican Republic, Haiti, Jamaica, Peru, Puerto Rico, and the United States. The study was designed to test an HIV vaccine, which aimed to stimulate production of immune system T-cells that can kill HIV-infected cells.

Based on its first evaluation of vaccine efficacy, the findings showed there were 24 cases of HIV infection among the 741 volunteers who received at least one dose of the investigational vaccine compared with 21 cases of HIV infection among the 762 volunteers who were vaccinated with the placebo. In volunteers who received at least two vaccinations, there were 19 cases of HIV infection among the 672 volunteers who received the investigational vaccine and 11 instances of HIV infection among the 691 volunteers who received placebo. The study investigators of the vaccine trials have decided to cease immunizations and are contacting study volunteers to inform them of the developments.

Based on your research, understanding, and above information, answer the following questions:

Prior to beginning this study, how would you have described the risks and benefits of the study to participants?

What are the ethical issues surrounding this study at the beginning and when the decision was made to terminate the study?

Clinical Trial

Between 2004 and 2007, the National Institutes of Health conducted a STEP vaccine clinical trial—Phase IIB "test-ofconcept" study.

The STEP study is the name of a clinical trial to test an experimental human immunodeficiency virus (HIV) vaccine. The STEP study enrolled 3,000 participants at sites in Australia, Brazil, Canada, the Dominican Republic, Haiti, Jamaica, Peru, Puerto Rico, and the United States. The study was designed to test an HIV vaccine, which aimed to stimulate production of immune system T-cells that can kill HIV-infected cells.

Based on its first evaluation of vaccine efficacy, the findings showed there were 24 cases of HIV infection among the 741 volunteers who received at least one dose of the investigational vaccine compared with 21 cases of HIV infection among the 762 volunteers who were vaccinated with the placebo. In volunteers who received at least two vaccinations, there were 19 cases of HIV infection among the 672 volunteers who received the investigational vaccine and 11 instances of HIV infection among the 691 volunteers who received placebo. The study investigators of the vaccine trials have decided to cease immunizations and are contacting study volunteers to inform them of the developments.

Reference:

National Institutes of Health (2007). National Institute of Allergy and Infectious Diseases: Immunizations are discontinued in two HIV vaccine trials. Retrieved from National Institute of Allergy and Infectious Diseases Pages/step_statement.aspx.

Using the South University Online Library or the Internet, research further on the STEP study, the STEP vaccine clinical trials, and their parameters.

Based on your research, understanding, and above information, answer the following questions:

Prior to beginning this study, how would you have described the risks and benefits of the study to participants?

What are the ethical issues surrounding this study at the beginning and when the decision was made to terminate the study?