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Suppose that there is a 60% probability that the product will be a success on the market (that means, the probability of failure is 40%). If the product is a success, you will get a profit of $200,000, and if it is a failure, you will incur a loss of $100,000. Should you develop this product? How do you make a decision in this situation? Also, how can one come up with the probability of success (or failure)?
Standard deviation, Variance and Covariance. Calculate the standard deviation and variance of each set data, and covariance.
Suppose u(x, y) and v(x, y) are harmonic in a region under? Under what condition is the product u(x, y) . v(x, y) harmonic? In particular, when is (u^2)(x, y) harmonic?
Probability of Lamp Failure, A lamp has two bulbs, each of a type with an average lifetime of 6 hours. The probability density function for the lifetime of a bulb
Find the expected value (to you) of the game. If you play one game would you expect to win or lose the game? Explain.
Find derivatives of the following functions using differentiation rules:
How is the solution affected if the constraints are changed to y(0) = 0 and y'(0) = 1 ? What is the special about this case?
Problem solving on linear programming
Fitting of simple linear regression
Saunders Corp. has current liabilities of $440,000, a quick ratio of 0.81, inventory turnover of 5.7, and a current ratio of 1.8. What is the cost of goods sold for the company?
To prove that the minimal spanning tree in graph is unique and Decide whether you think the claim is true or false and give a proof of either the claim or its negation.
Find the percentage of customers spent less than $20
Use K-map to find a minimal expansion as Boolean products of each of these functions. Also draw the logic circuit for problem a) and b).
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