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The owner of a small business has the right to have a retail stall at a large festival to be held during the summer. She judges that this would either be a success or a failure and that the probability that it is a success is 0.4. If the stall was a success, the net income from it would be £90,000. If the stall was a failure, there would be a net loss of £30,000 from it. To help to make the decision, the owner could pay for market research. This would cost £5,000. The market research will either give a positive indication or a negative indication. The conditional probability that it gives a positive indication, given that the stall will actually be a success, is 0.75. The conditional probability that it gives a positive indication, given that the stall will actually be a failure, is 1/3.
The owner has various options:
• Do nothing.• Go ahead without market research.• Pay for the market research.• Sell her right to a stall for £10,000.If she pays for the market research then, depending on the outcome, she can:• Do nothing more.• Go ahead.• Sell her right to a stall. If the market research gave a positive indication the price would be £35,000. If the market research gave a negative indication the price would be only £3,000.
What should she do?
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What is the probability all three of the selected homes have a security system?
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Use this information to construct a probability table, and then calculate each of the following probabilities: P(foreign car)
If we assume that the errors made by rounding off are iid and have a uniform distribution over the interval ( - ~, ~), compute approximately the probability that the sum of the integers is within two units of the true sum.
At the .10 significance level, can we conclude that there is a difference in the length of time the two types of treatment lasted?
Calculate and plot t he new supply schedule and indicate the new equilibrium price and quantity on your diagram
ComputerWare asked 500 of its iMac purchasers what computer they owned or had owned. There were 83 new computer owners, 60 who had owned a Windows-based computer, and 357 who had owned a Macintosh.
Ethics The one-time fling! Have you ever purchased an article of clothing (dress, sports jacket, etc.), worn the item once to a party, and then returned the purchase?
Perform an exponential smoothing forecast with α=0.3 with the following data. Use the demand for the month of January for the initial forecast.
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