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1. Find the probability that the range of a random sample of size 4 from the uniform distribution having the pdf , zero elsewhere, is less than  . 2. Let  be the order statistics of a random sample of size 3 from a distribution having the pdf , zero elsewhere. Show that 

Insider trading is explained in Chapter 10, pages 368-373, as buying or selling stocks of businesses using information that comes from an inside person and is not known to the public. The buyer or seller may have information that would dramatically impact the price of stocks. Respond to the following: Using the idea/theory of insider

This week we are covering materials in Chapter 9, pages 326–360, regarding workplace environment. Privacy is an important part of our daily lives. For example, as a student you should be aware of the Family Rights and Privacy Act (FERPA), which is a federal law protecting school records. Another well known federal privacy act, Health

Discussion (200 words): What are factors that affect the expected rate of return for holders of debt and equity? Assignment (1-2 pages double space): Discuss the strength and weaknesses of cash-flow based valuation models. How do variations in the required cost of capital for debt and equity shareholders affect valuation? Present your analysis and discussion

1. Suppose a random sample of size 2 is obtained from a distribution that has pdf  zero elsewhere. Compute the probability that one sample observation is at least twice as large as the other. 2. Let  denote the order statistics of a random sample of size 3 from a distribution with pdf , zero elsewhere. Let  be the midrange

Let denote the order statistics of a random sample of size 2 from N(0, σ2). (b) Find the covariance of and . Let be the order statistics of a random sample of size 2 from a distribution of the continuous type which has pdf such that , provided that , and elsewhere. Show that the

Let be the bivariate normal pdf in expression (3.5.1). (a) Show that has an unique maximum at (b) For a given c > 0, show that the points of equal probability form an ellipse.

For the Burr distribution, show that provided 

Prepare a financial plan for the company you select for your business plan. This financial plan will be included in your final business plan in your capstone course. Describe the business, including the type of business. Create the business case. Determine why funding is needed for the company. Determine the sources of funding. Considerself-funding, borrowing,

Let the number X of accidents have a Poisson distribution with mean . Suppose λ, the liability to have an accident, has, given θ, a gamma pdf with parameters α = h and ; and θ, an accident proneness factor, has a generalized Pareto pdf with parameters α, λ = h, and k. Show that the unconditional