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An investor is considering a $25,000 investment in a start-up company. She estimates that she has probability 0.05 of a $20,000 loss, probability 0.2 of a $20,000 profit, probability 0.15 of a $35,000 profit, and probability 0.6 of breaking even (a profit of $0). What is the expected value of the profit?
A shipment of 120 computer cases that contains 5 defective cases was sent to an assembly plant. The quality control manager at the assembly plant randomly selects 5 cases and inspects them. What is the probability exactly one case is defective?
What proportion of the output will be between 98.5 and 102.0 mm?
An airplane needs to reach a velocity of 360 km/h to take off. On a 2000 m runway, what is the minimum acceleration necessary for the plane to take flight?
The DNA molecule has the shape of a double helix. The radius of each helix is about 8 angstroms (1Å = 10-8 cm). Each helix rises about 33 Å during each complete turn, and there are about 2.9 108 complete turns. Estimate the length of each helix. (..
Compare the number of floating point operations (see "flops") needed by the two approaches to spectral differentiation which method is preferable?
Cars pass a certain street location according to a Poisson process with rate λ. A woman who want to cross the street at that location waits until she can see that no cars will come by in the next T time units.
For the function below, find a) the critical numbers, b) the open intervals where the function is increasing, and c) the open intervals where the function is decreasing.
In the original Red Brand problem, the costs for shipping from plants or warehouses to customer 2 were purposely made high so that it would be optimal to ship.
You are asked to distribute $1800 in prize money. The dollar amounts for the prizes are $625, $125, $25, $5, and $1. How should this money be distributed in order to give the fewest number of prizes?
emakers of America forecasts the following demand for the next 6 mos: 5000 pairs in month 1, 6000 pairs in month 2, 5000 pairs in month 3, 9000 pairs in month 4, 6000 pairs in month 5, 5000 pairs in month 6. It takes a shoemaker 15 min to produce ..
A piece of wire 7 m long is cut into two pieces. One piece is bent into a square and the other is bent an equilateral triangle. How much wire should be used for the squares in order to maximize the total area
Details: A grandmother is looking for a plan to finance her new grandchild's college education. She has $25,000 to invest. Search the internet and locate a long-range investment plan, CD, Savings Bond, etc, for the grandmother. The plan is to earn..
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