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Suppose that Ω = [0,1] is the unit interval, and F is the set of all subsets A such that either A or Ac is finite, and P is defined by P(A) = 0 if A is finite, and P(A) if Ac is finite.
Show that F is an algebra:Show that F is not a σ-algebraShow that P is finitely additive:Show that P is countably additive on F
For example, if Ken purchases a Sub 100 and if there is a favorable market, he will realize a profit of $300,000. On the other hand, if the market is un-favorable, Ken will suffer a loss of $200,000. But Ken has always been a very optimistic decis..
#2: Let G be the graph with vertex set Z_2^n( the same as the n-cube) and with edge set defined as follows: {u, v} is an edge of G if u and v differ in exactly two coordinates (i.e., if ω( u, v) = 2). What are the eigenvalues of G?
find a formula for the general term of a sequence , assuming that the pattern of the first few terms continues 1,6,16,31.
Oliver has a cardboard box that has a volume of 27 cubic feet. The width is equal to 3 feet and the length is equal to 3 feet. What is the height of the box?
on january 5 2009 ups posted their new rates. ups ground rates have increased an average of 5.9. air and international
The monthly incomes of trainees at a local mill are normally distributed with a mean of $1,100 and a standard deviation of $150. find the probability that a randomly selected employee earns less than $900 a month.
evolutionary theories often emphasize that humans have adapted to their physical environment. one such theory
Let A be a complex number and B a real number. Show that the equation |z|^2+Re(Az)+B=0 has a solution if and only if |A|^2 >= 4B. If this is so, show that the solutions set is a circle or a single point.
The top and bottom margins of a poster are 4 cm and the side margins are each 6 cm. If the area of printed material on the poster is fixed at 390 square centimeters, find the dimensions of the poster with the smallest area. Note: The answer to thi..
dance team knows 18 routines of which 8 are tap, 7 are ballet, and 3 are modern. The program can consist of any four routines. In how many ways can the manager choose which routines to present if there are no restrictions?
one car travels 40 km/hr faster than another, while one travels 150km, the ither goes 350km, what is the speed of the slower car?
A cylindrical can is to hold 4pi cubic units of juice. The cost per square unit of constructing the metal top and bottom is twice the cost of constructing the cardboard side. What are the dimensions of the least expensive can?
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