Given a population with a mean of µ = 100 and a variance σ2 = 14, assume the central limit theorem applies when the sample size is n ≥ 25. A random sample of size n = 46 is obtained. What is the probability that 98.80 < x¯ < 100.92?

IQ is normally distributed with a mean of 100 and a standard deviation of 15. a) Suppose one individual is randomly chosen. Find the probability that this person has an IQ greater than 95. Write your answer in percent form. Round to the nearest tenth of a percent. P (IQ greater than 95) = % b) Suppose one individual is randomly chosen. Find the probability that this person has an IQ less than 125. Write your answer in percent form. Round to the nearest tenth of a percent. P (IQ less than 125) = % c) In a sample of 700 people, how many people would have an IQ less than 110? people d) In a sample of 700 people, how many people would have an IQ greater than 140? people

Write 100 words that provide Challenges/Risks of e-commerce

A sample of 100 households is selected from a village in a small country with a mean household income of $27,200 and standard deviation of $8,400. This seems to be higher than the average for the whole country which is $25,000 and with a standard deviation of $6,500. Is the income of this small village higher on average than the rest of the country? Calculate and show the main steps for this problem.

Discuss the differences between Takaful and conventional insurance. ( in 100 words)

Suppose there are n = 100 firms in the market each with the cost function is C(y) = 5 + y + 0.5y^2. What is the inverse market supply curve? What is the market supply curve? Draw the market supply curve. (Hint: Go from individual supply to market supply. Finish by getting inverse market supply.)

Consider a security with a face value of $100 000, which is to be repaid at maturity. The security pays an annual coupon of 8% and has a maturity of three years. The current discount rate is 10%. What is the security's duration (round to two decimals)?

A. 2.78 years

B. 3 years

C. 0.36 years

D. 1.94 years

What is the duration of a five-year par value zero-coupon bond yielding 10% annually?

A. 0.50 years

B. 2 years

C. 4.40 years

D. 5 years

1. When a business has a market share of 100% it is known as:

A. A competitive market

B. A monopoly

C. An oligopoly

D. Monopolistic competition

2. What happens in the long run in perfect competition?

A. Abnormal profits are earned

B. Businesses are allocatively inefficient

C. A firm produces where average revenue is greater than average cost

D. A firm produces where marginal revenue equals marginal cost

3. From the following, when do losses always occur?

A. Marginal revenue equals the price

B. Average revenue is less than average cost

C. Average revenue equals average cost

D. Marginal cost equals average cost

4. In a monopoly market...

A. there are no barriers to entry

B. abnormal profits are only earned in the short run

C. the demand curve for a business is downward sloping

D. a profit maximising business produces where average revenue equals marginal revenue

Explain the role of confidentiality with regard to HIV/AIDS. (100 Words)