At 25oC, 20% of a certain type of laser diodes have efficiency below 0.3 mW/mA. For five diodes, selected by simple random sampling from a large population of such diodes, find the probability of the following events.
(a) All five have efficiency above 0.3 at 25oC.
(b) Only the second diode selected has efficiency below 0.3 at 25oC. (c) Exactly one of the five diodes has efficiency below 0.3 at 25oC.

(d) Exactly two of the five diodes have efficiency below 0.3 at 25oC.

A research report claims that 20% of all individuals use Firefox to browse the web. A software company is trying to determine if the proportion of their users who use Firefox is significantly different from 0.2. In a sample of 200 of their users, 32 users stated that they used Firefox. Using this data, conduct the appropriate hypothesis test using a 0.05 level of significance.

a) What are the appropriate hypotheses?

H₀: p = 0.2 versus H_a: p < 0.2

H₀: p = 0.2 versus H_a: p > 0.2    

H₀: p = 0.2 versus H_a: p ? 0.2

H₀: ? = 0.2 versus H_a: ? > 0.2

b) What is the test statistic? Give your answer to four decimal places.  

c) What is the P-value for the test? Give your answer to four decimal places.  

d) What is the appropriate conclusion?

Conclude that the Firefox proportion is not 0.2 because the P-value is smaller than 0.05.

Conclude that the Firefox proportion is not 0.2 because the P-value is larger than 0.05.    

Fail to reject the claim that the Firefox proportion is 0.2 because the P-value is larger than 0.05.

Fail to reject the claim that the Firefox proportion is 0.2 because the P-value is smaller than 0.05.

Think about the last movie you saw in a movie theater. What aspects of the movie had international components in it? Are there more international elements included than compared to your favorite movie from 10 years ago?

An important quality characteristic used by the manufacturers of ABC asphalt shingles is the amount of moisture the shingles contain when they are packaged. Customers may feel that they have purchased a product lacking in quality if they find moisture and wet shingles inside the packaging.   In some cases, excessive moisture can cause the granules attached to the shingles for texture and colouring purposes to fall off the shingles resulting in appearance problems. To monitor the amount of moisture present, the company conducts moisture tests. A shingle is weighed and then dried. The shingle is then reweighed, and based on the amount of moisture taken out of the product, the pounds of moisture per 100 square feet is calculated. The company claims that the mean moisture content cannot be greater than 0.35 pound per 100 square feet.
The file (A & B shingles.csv) includes 36 measurements (in pounds per 100 square feet) for A shingles and 31 for B shingles.

3.1. For the A shingles, form the null and alternative hypothesis to test whether the population mean moisture content is less than 0.35 pound per 100 square feet.

3.2. For the B shingles, form the null and alternative hypothesis to test whether the population mean moisture content is less than 0.35 pound per 100 square feet.

3.3. Do you think that the population means for shingles A and B are equal?
Form the hypothesis and conduct the test of the hypothesis.
What assumption do you need to check before the test for equality of means is performed?

3.4. What assumption about the population distribution is needed in order to conduct the hypothesis tests above?

Please help solutions in Python.

Please find the required data

Apex Roofing Inc. has the following balance sheet (in millions of dollars): Current assets $3.0 Accounts payable $1.2 Net fixed assets 4.0 Notes payable 0.8 Accrued wages and taxes 0.3 Total current liabilities $2.3 Long-term debt 1.2 Common equity 1.5 Retained earnings 2.0 Total assets $7.0 Total liabilities and equity $7.0 Last year's sales were $10 million, and Apex estimates it will need to raise $2 million in new debt and equity next year. You have identified the following facts: (1) it pays out 30 percent of earnings as dividends; (2) a profit margin of 4 percent is projected; (3) fixed assets were used to full capacity; and (4) assets and spontaneous liabilities as shown on last year's balance sheet are expected to grow proportionally with sales. If the above assumptions hold, what sales growth rate is the firm anticipating? Use the AFN equation

The following table provides a historical summary of key financial ratios for Reza Corporation.

Required:

1. With reference to the appropriate ratios, analyse the trend in Reza Corporation’s profitability providing plausible reasons for any changes. (6 marks)

2. Explain what an inventory turnover ratio is measuring and how inventory turnover impacts on Reza Corporation’s profitability. (6 marks)

c. Reza Corporation publishes on its website and discloses key corporate social responsibility (CSR) activities and important topics of interest to stakeholders. Describe an environmental performance indicator and a social performance indicator that may be of interest to Reza Corporation’s stakeholders.

A city in a particular county has a population of 459,649; the population of the county is 9,519,338. Conduct a goodness of fit test at the 5% level to determine if the racial demographics of the city fit that of the county. Round expected frequency to two decimal places.

(1) What are the degrees of freedom = 6

(2) What is the test statistic = 28383

(3) Distribution for this test = X^2₆

(3) What is the p-value = 0.0000

(4) NEED HELP WITH #4

Sketch a picture of this situation. Label and scale the horizontal axis, and shade the region(s) corresponding to the p-value. (Upload your file below.)

(5) Alpha a= 0.05

In a telephone conversation with a sales representative of a linen company, the manager of a hotel ordered $1,000 worth of sheets. Following the conversation, the manager wrote a memo to the file documenting the agreement, initialed it, and sent a copy to the sales representative. One of the linen company’s competitors learned of this contract and contacted the hotel to tell them that the sheets were poorly manufactured and that they should stop buying from the linen company and buy everything from the competitor. The hotel then cancels the contract and starts buying from the competitor.

The linen company’s sheets are not poorly manufactured. The linen company can sue both the competitor and the hotel for losses suffered, one for a tort and one for breach of contract, but the linen company is not allowed to recover twice for the same harm.

What is the tort that the linen company can sue for and who is the defendant?

Who should they sue for the breach of contract claim?

What damages would be recoverable from each defendant so that it would not be recovering the same damages twice?

Does the Statute of Frauds create a defense to the lawsuit against the hotel?

Why or why not?

Its a law question

Star Inn is a chain of hotels. The reservation system is uses a centralized reservation database. The database contains booking information on all hotels of Star Inn. The following is a description of the conceptual model of the hotel reservation database at Star Inn.

The database contains information about hotels, hotel rooms, customers, and reservation. A hotel can be identified by its identification number (hotel_id). It is also described by hotel_name, address and phone_no. Rooms are identified by room_no which is unique for a hotel. The same room_no may exist in different hotels of Star Inn. Rooms are also described by type and rate.

Customers are identified by customer_id and are described by name (customer_name), address (customer_address), and phone number (customer_phone). When a customer makes a reservation, he/she is asked to specify the hotel, the room type, the arrival date (arrival_date) and duration of stay (duration). A specific room is then booked for the customer. A customer can book the same room more than once. Therefore, a reservation is identified by a reservation number (reservation_no).

Please use Visible Analyst or any other CASE tool to draw the ERD.