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Consider a Gaussian mixture model where the covariance matrices are assumed to be scalar: Σr = σI ∀r = 1, . . . , R, and σ is a fixed parameter. Discuss the analogy between the K-means clustering algorithm and the EM algorithm for fitting this mixture model in detail. Show that in the limit σ → 0 the two methods coincide.
If you are against the research would your opinion change if you knew the animals were treated with care while they were used for experiments? If you are pro-animal research does how they are treated matter to you?
You and a friend get together to start a business, based on your friend's patent of a new and better ice cream scoop. Because you have the patent, you are the only producer of this product. You are in charge of marketing.
Assume you are an analyst assessing national costs of mercury abatement. Your staff has estimated the marginal social costs to be MSC = 0.8Q and the marginal abatement cost across polluters to be MPC = 0.65Q, where Q is measured in percent abateme..
The Mexican peso is trading at 10 pesos per dollar. If the expected U.S. inflation rate is 2% while the expected Mexican inflation rate is 23% over the next year, given PPP, what is the excpected exchange rate in one year
Suppose a firm producing a commodity X is a price taker. The prevailing market price for X is Php. 20. The firm's cost is given by TC=(0.1q^2)+10q+50 where q=the number of X the firm chooses to produce per day.
Historical evidence for the U.S. economy indicates that
the Marginal product of labor (measured in units of output) for a firm is:MPN = A(100 - N) Where A measures productivity and N is the number of labor hours used in production. The price of output is $2.00 per unit. if A = 1, what will demand for labo..
The office-cleaning market is perfectly competitive. Consider a typical off-cleaning firm that currently faces $24 in fixed costs and an $8 hourly wage for workers. The price the firm gets for each office cleaned is $56 at the present market price.
VetPharm has historically produced and sold drugs for animals; however, one of its products developed for animal use has recently been approved for a similar use in humans. Market research has revealed that at the current per dose price.
Suppose that there is an adverse oil supply shock. Show the impact that this has on the production function, the labor market (i.e. on equilibrium wage and labor), and on the actual amount of output. SHOW a diagram and DISCUSS your findings.
Patton Paints Corporation has a target capital structure of 40% debt and 60% common equity, with no preferred stock. Its before-tax cost of debt is 12% and its marginal tax rate is 40%. The current stock price is P0 = $22.50. The last dividend was..
a graduated payment plan with the first payment set at 1500 at year 1 and a gradient of $600 afterward, plus a remaining lump sum at end of year 5. determine the lump sum amount so that the pay back is completed in full, considering the interest r..
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