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Question: In a survey at a shopping center, the interviewer asks customers how long their shopping trips have lasted so far. The response (T) given by a randomly chosen customer is uniformly distributed from 0 to 1.5 hours.
a. Find the probability that a customer has been shopping for 36 minutes or less.
b. The interviewer surveys 18 customers at different times. Find the probability that more than one-half of these customers say that they have been shopping for 36 minutes or less.
A bank has received a request from its client for a forward quote on USD/AUD, the current spot rate is 1.1647. Assuming the 3 month USA benchmark rate is 0.24% and in Australia is 2.0%, calculate the forward swap point.
Suppose an option pays the maximum value of spot minus the minimum value of spot across a number of dates. Discuss how to price this option using PDEs and Monte Carlo.
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The Parkview Hospital is considering the purchase of a new autoclave. This equipment will cost $150,000. This asset will be depreciated using an MACRS (GDS).
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A random child is chosen in the town (with equal probabilities). Find the PMF, mean, and variance of the child's birth rank.
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Stackelberg Theory of Duopoly. Stackelberg suggested that one firm might increase its profits if it were able to observe its competitors reaction function.
Determine the optimal contract structure using the Management Scientist software, including the number of contracts of each type to be placed and the total contribution to profit. Provide a narrative that explains the Management Scientist solution..
For the parallel-pipe system of Fig, each pipe is cast iron, and the pressure drop p1 - p2 = 3 lbf/in2. Compute the total flow rate between 1 and 2 if the fluid is SAE 10 oil at 20°C.
Suppose you expect during the next year the Australian dollar to appreciate against the pound from 0.5 pound to the dollar to 0.75. How much will you expect to make on an investment of $10,000 in British government securities that will mature in o..
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