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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.
The MacBurger Company, a chain of fast food restaurants, expects to earn $200 million after taxes for the current year. The company has a policy of paying out half of its net after tax income to the holders of the company's 100 million shares of c..
Do you think these phenomena are related? Could higher wages and better job opportunities lead to a more capital-intensive way of performing household chores? Explain.
Cinema Theater has estimated the following demand functions for its movies: Daytime demand, QD = 400 - 50 PD Nighttime demand, QN = 200 - 20 PN The marginal cost of serving another customer is $5 and its fixed costs are $100.
If a person borrows $12455.37 and agrees to pay it back in 60 monthly installments of $550.55, determine a) effective interest rate paid (corresponding with payment frequency units). b) nominal interest rate paid. c) effective annual interest rate pa..
You are the manager of a firm that receives revenues of $30,000 per year from product X and $70,000 per year from product Y. The own price elasticity of demand for product X is -2.5, and the cross-price elasticity of demand between product Y and X..
Who or what do I blame for disparities in wealth and opportunity? Poor people? Wealthy people? The system? What do I think needs to be changed? Do I want to be a part of that change? If so, in what ways?
compare the interest rate earned on $15000 for 25 years at 7% simple interest with the amount of interest earned if interest were compounded annually SIMPLE INTEREST: I=iPN=(0.07)($15,000)(25) I=$26,250 COMPOUND INTEREST I=P[(1+i)^N-1] I=$15,000[(1..
Mapleville Tennis & Golf Club offers golf and tennis memberships to the residents of Mapleville. Market research has found there are two types of families living in the city: 120 golf-oriented families and 100 tennis-oriented families. Information..
Drink Tax: The weekly supply Qs(p), and demand, Qd(p), of beer in a city are given by: Qs(p) = p; Qd(p)=6.2 - .55*p where p is the price of a beer in dollars and quantities are in hundreds of thousands of beers. To find the equilbrium quantity and..
Today you have a savings account of $15 620. Based on an annual interest rate of 4.2%, what equal amount can you withdraw from the account at the end of each month for three years and leave $4 000 in the account
A local realtor estimated the long-term income elasticity of demand for rental properties to be 0.9 and the long-run income elasticity for owner-occupied housing to be 1.10. Recent estimates indicate that income is forecast to rise at 5% per year ..
Fin the levels of employment that define stage two in the production process. If the market determined real wage rate is $20 determine the amount of labor a cost minimizing firm would hire in order to minimize the total cost of production.
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