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Let X(t) be a Brownian motion. The stock price of an asset S(t) follows the lognormal random walk S(t)=40e^(.35X(t)+.01t) Calculate the expected value of S(t) after 4 months (1/3 years) and calculate the probability that a European call option with exercise price E=50 will be exercised at expiration time T=8 months.
23 cars had only air conditioning, 63 cars had only automatic transmissions, and 28 cars had only power steering. 10 cars had both automatic transmission and power steering. How many cars had air conditioning and automatic transmission but not pow..
Probability: Mary is taking two courses, photography and economics. Student records indicate that the probability of passing photography is 0.75, that of failing economics is 0.65, and that of passing at least on of the two courses is 0.85.
Explain the theory developed including capacitated s,t graphs and the lexicographic ordering rule based on the case study and suggested readings.
Why can't a rational function have both a horizontal and an oblique asymptote? Construct your own rational functions to give examples.
Probability of Having a Disease when Testing Positive. Suppose that 1% of all people have a particular disease. A test for the disease is 99% accurate. This means that a person who tests positive for the disease has a 99% chance of actually having..
Please show the how to solve the following. Please offer as much explanation as possible. Graph a function on the interval [-2,5] having the following characteristics:
Suppose a family plans 6 children, and the probability that a particular child is a girl is 1/2. Find the probability that the 6 child family has exactly 2 girls.
Probability for Poisson Random Variable, During summer weekdays, boats arrive at the inlet drawbridge according to the Poisson distribution at a rate of 3 per hour
A small gift shop is trying to determine the number of gift items it can sell to maintain a monthly revenue greater than $10,000. The revenue function for this business is R = -0.10N2 +70N, where R=monthly revenue and N=number of gift items sold p..
Two ships leave port at 7:00am. ship A sails on a 54° course at a rate of 36 mph. ship B sails on a 114° course at a rate of 42 mph. find the distance between the two ships at 11:00am and the bearing of ship B from ship A.
Given a line segment of length 1 inch, how do I construct a line segment of squareroot(6), squareroot(7), squareroot(8), etc. Also, given a wire of total length 4236 feet, how do I construct a golden triangle from the wire?
Probability. A grab bag contains 10 $1 prizes, 7 $5 prizes, and 5 $20 prizes. Three prizes are chosen at random. Find the following probabilities.
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