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1. A special insurance company has a single contract. There can be at most one claim, and the probability that a claim does not occur by time t is 1/(1 + t). If a claim occurs, the amount is 100 with probability 0.6 or 200 with probability 0.4. Premiums are paid continuously at the rate of 20 per year. The company begins with an initial surplus of 60. What is the probability of eventual ruin?
2. Consider again the game of flipping a fair coin, winning 1 for heads, starting with an initial surplus of 3. The gambler decides to stop at time 4 or whenever two consecutive heads come up, if earlier. What is the expected surplus at the end of the game?
Consider a flea of mass 4.5×10-4 at 1.0 m/s midway through its jump. What is its de Broglie wavelength?
find the taylors formula for estimation of cosine function.use tayors formula for fx cos x - x-x2 13x- x23nbsp-
Describe the appropriate sampling distribution model - shape,center and spread - with attention to assumptions and conditions. Make a sketch using the 68-95-99.7 Rule.
The highest average cost of 30-second commercial in October,2002 was $455,700. How much worth per second?
Determine the revised profit function Q(x).
We have defined space X to be contractible in two ways: Show that these two definitions are equivalent.
discover card would like to test the hypothesis that the average credit score for an adult in dallas is different from
The number of days they spent in New York was the same as the total number of days they spent in Boston and Washington, and the couple spent 3 times as many days in New York as they did in Philadelphia. How many days did Joan and Dick stay in each..
Acylider of radius x is inscribed in a fixed sphere of internal radius R, the circumference of the circular ends of the cylider being in contact with the inner surface of the sphere.
A treee stands on a hillside of slope 28 degrees from the horizontal. From a point 75 feet down the hill, the angle of elevation to the top of the tree is 45 degrees. Find the height of the tree.
Explain Probability of drawing apples from a sample, There are 8 spoiled apples in a container of 27 apples set for inspection. A sample is drawn, for 4 apples at random
Find the critical points of function cos(15θ) + sin^2(15θ)
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