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A market research firm conducts studies regarding the success of new products. The company is not always perfect in predicting the success. Suppose that there is a 50% chance that any new product would be successful (and a 50% chance that it would fail). In the past, for all new products that ultimately were successful, 80% were predicted to be successful (and the other 20% were inaccurately predicted to be failures). Also, for all new products that were ultimately failures, 70% were predicted to be failures (and the other 30% were inaccurately predicted to be successes). If the market research predicted that the product would be a success, what is the probability that it would actually be a success?
a) 0.27
b) 0.73
c) 0.80
d) 0.24
e) 1.00
Consider the following data for a simultaneous move ggiven: If you advertise and your rival advertises, you will each earn 5 million dollar in profits.
A supplier and a buyer, who are both risk neutral, play the following game, The buyer’s payoff is q^'-s^', and the supplier’s payoff is s^'-C(q^'), where C() is a strictly convex cost function with C(0)=C’(0)=0. These payoffs are commonly known.
The Candle Company and the Wick Corporation are the only manufactures of a very sophisticated type of flammable material.
Ken and Gerard are roommates for a weekend and have succeeded in making their living quarters cluttered in very little time.
Two players, Ben and Diana, can choose strategy X or Y. If both Ben and Diana choose strategy X, every earns a payoff of $1000.
A recent study by Ohio State University (March 5, 2008) suggests that students with cell phones may take more risks than students that do not have cell phones.
In the summer ECMBA has a group assignment. Students are assigned to two person groups that have to make a 25 point paper applying game theory to competitive strategy.
The time between surface nish problems in a galvanizing process is exponentially distributed with a mean of 40 hours. A single plant operates three galvanizing lines that are assumed to operate independently.
Is the income elasticity of demand for real cash balances significantly different from one?
A pizza delivery service delivers to a campus dormitory. Delivery times follow a normal distribution with a mean of 20 minutes and a standard deviation of 4 minutes. Find the delivery time that 20% of all deliveries are less than?
Compute the probability that exactly five students are left-handed.
It provides a range of values, any of which is a good guess at the possible value of the sample mean.
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