10. Calculate a joint probability given data: -Sample of 9000 firms. 6000 have CEO with Bachelor's degree, 2300 have CEO with Master's Degree, 700 have CEO with Ph. D. Find probability that a randomly selected CEO has a Bachelor's Degree or a Ph. D.
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- The project manager of Good Public Relations gatheredthe data shown in Table 7.15 for a new advertisingcampaign.a. How long is the project likely to take? b. What is the probability that the project will take more than38 weeks?c. Consider the path A–E–G–H–J. What is the probability thatthis path will exceed 38 weeks?efer to the following table showing the probability distribution of payoffs from an activity to answer the question below: Units Payoff Probability 1 $30 10% 2 40 25% 3 60 30% 4 50 20% 5 10 15% What is the expected value?17-2 Game Show Uncertaninty In the final round of a TV game show, contestants have a chance to increase their current winnings of $1 million to $2 million. If they are wrong, their prize is decreased to $500,000. A contestant thinks his guess will be right 50% of the time. Should he play? What is the lowest probability of a correct guess that would make playing profitable?
- Many decision problems have the following simplestructure. A decision maker has two possible decisions, 1 and 2. If decision 1 is made, a sure cost of c isincurred. If decision 2 is made, there are two possibleoutcomes, with costs c1 and c2 and probabilities p and1 2 p. We assume that c1 , c , c2. The idea is thatdecision 1, the riskless decision, has a moderate cost,whereas decision 2, the risky decision, has a low costc1 or a high cost c2.a. Calculate the expected cost from the riskydecision.b. List as many scenarios as you can think of thathave this structure. (Here’s an example to get youstarted. Think of insurance, where you pay a surepremium to avoid a large possible loss.) For eachof these scenarios, indicate whether you wouldbase your decision on EMV or on expected utility5. Probability help me uhuhuhuhQ3/ The probability that a consumer will rate a new antipollution device for cars What are the probabilities that it will rate the device (a) very poor, poor, fair, or good; (b) good, very good, or excellent? Rate Poor Fair Very good Excellent Very poor Good Probability 0.07 0.12 0.17 0.32 0.21 0.11
- Problem 2: Show your work. An MBA applies for a job in two firms X and Y. The probability of his being selected in firm X is 0-7 and being rejected at Y is 0-5. The probability of at least one of his applications being rejected is 0-6. What is probability that he will be selected in one firms?Bob earn 60,000 a year and an accounting firm each year he receives Reyes Bob has determined that the probability that he receives a 10% raise is .7 the probability that he earns a 3% raise is .2 and the probability that he earns a 2% raise is .1 a competing company has offered Bob a similar position for 65,000 a year Bob wonders if he should take the new job or take his chances with his current job. a. Find the mathematical expectation of the dollar amount of his raise at his current job b.1. A dealer decides to sell a rare book by means of an English auction with a reservation price of 54. There are two bidders. The dealer believes that there are only three possible values, 90, 54, and 45, that each bidder’s willingness to pay might take. Each bidder has a probability of 1/3 of having each of these willingnesses to pay, and the probabilities for each of the two bidders are independent of the other’s valuation. Assuming that the two bidders bid rationally and do not collude, the dealer’s expected revenue is approximately ______. 2. A seller knows that there are two bidders for the object he is selling. He believes that with probability 1/2, one has a buyer value of 5 and the other has a buyer value of 10 and with probability 1/2, one has a buyer value of 8 and the other has a buyer value of 15. He knows that bidders will want to buy the object so long as they can get it for their buyer value or less. He sells it in an English auction with a reserve price which he must…
- 12. Over the last decade, robotic-drone a research and development company has researched in new drone technology for home delivery. Their sales department considers that they could sell as many as $90 million per year with a probability of 20%. With a most likely value of $76 million with a probability of 45% and a lowest value of $50 million. a. Determine the expected value of their sales. b. The sales department estimates that they could maintain this sales rhythm for 4 years with a probability of 67% or that this sales rhythm could be maintained for 8 years. Determine the Expected Value for the PW if the company considers a yearly interest rate of 10%A new company is offering its shares for sale in an initial public offering (IPO) through an auction. There is a 50% probability that the company will be very successful, in which case each share is worth $28. Otherwise, each share is worth $0. You are competing with professional investors such as hedge funds that know if the company will be successful or not. Part 1If you bid $14 per share, what is your expected return?9. The probability of a woman having a baby boy is 50% and that of having a girl is also 50% What is the probability that a woman who has three children will have three boys? of T. 10. Lebo has 3 blue pens, 2 red pens, 5 black pens and 2 pencils in his pencil case. a. What is the probability that he takes a black pen? b. What is the probability that he takes an item that is not a black pen? 11. One card is drawn from a deck of 52 cards. What is the probability that the card will be a. red or an ace? b. a king of hearts? Samsung Quad Camera Shot with my Galaxy. A2.1s