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You are repeatedly playing a game in which at each stage you win 1 with probability 15/19 or lose 2 with probability 4/19.
(a) Show that the adjustment coefficient is log(3/2).
(b) If Un denotes the amount you have at time n, show that Un is not a martingale.
(c) At time 20 you have a total of 4 units. What is E((2/3)U50 )?
(d) Suppose you start with 3 units at time 0. You decide to stop play when you have a total of 20 units, or after 100 plays if that occurs earlier. If US is the amount that you will have after stopping play, what is E((2/3)US )?
expressing the given tangent function as a power series by determining its coefficients.calculate c0 c1 c2 c3nbspand
Billy likes to go cycling.His bike has wheels of diameter 75cm. He has invented a counter for his bike, which counts the number of revolutions the wheels make. One day the counter shows 150 revolutions.How far has Billy cycled?
Find the correlation coefficient for the data and find the equation for the regression line for the data, and predict the final grade of a student who misses 3.5 days
a circle is inscribed in a right triangle. the right triangle has an hypotenuse of 10 and the circle hasa radius of 2.
1) A Batch of 40 good workpieces is to be produced using a sand casting process with a starting material thatcosts $40 a piece. The time it takes to fill the mold is 10 seconds, while the solidification time is 1minute. The casting is removed from th..
A water storage tank has the shape of a cylinder with diameter 18 ft. It is mounted so that the circular cross-sections are vertical. If the depth of the water is 10 ft, what percentage of the total capacity is being used?
Graph of the function - Find an accurate graph of the function.
if a 13 foot ladder is leaning against a vertical wall and the bottom is moved away from the building at 2 feet per second, how fast is the top of the ladder sliding along the wall at the time the bottom of the ladder is 5 feet from the building?
Write a two- to three-page paper (not including the title page) that is formatted in APA style and according to the Math Writing Guide. Format your math work as shown in the example, and be concise in your reasoning. In the body of your essay, ..
Susan has reason to believe that the distribution of No-Stick follows a normal curve, with a standard deviation of 4,000 packages. What is the probability that sales will be less than 81,000 packages?
If the price was $1.50 per gallon one week, and $2.00 the next week, what was your average price per gallon?
Suppose K is a conjugacy class of S_n (the symmetric group), with K consisting of even permutations. Suppose that x in K. Show that K splits into two conjugacy classes
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