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A scooter factory runs three assembly lines, A, B, and C. 98.9% of line A's scooters pass inspection, while only 97.8% of line B's scooters and 98.5% of line C's scooters pass inspection. If 38% of the factory's scooters come off of assembly line A and 34% come off of assembly line B:
a) what is the probability that a randomly selected scooter passed inspection?
b) what is the probability that if a randomly selected scooter did not pass inspection, it came from assembly line B?
Suppose two companies, A and B, that produce super computers. Each can manufacture the next generation super computer for math or for chip research.
Carleton Chemical claims that they can produce more than 800 tons of meladone on average per week. A random sample of 36 weeks of production yields the following results.
The time it takes a symphony orchestra to play beethovens ninth symphony has a normal distribution with a mean of 64.3 minutes and a standard deviation of 1.15 minutes. If an orchestra plays it so slowly that 80% of the orchestras play faster than..
Ken and Gerard are roommates for a weekend and have succeeded in making their living quarters cluttered in very little time.
Construct a 90% confidence interval for the population average weight of the candies.
Assume that the companies in an oligopolistic market engage in a price war and, as a result, all companies earn lower profits. Game theory would describe this as what?
For the time-frame of this study, once a market has reached a higher category, it won't fall back to a lower category. What is the probability that Logistics will stop providing service to an Intermediate market before becoming a High market?
Player 1 has the following set of strategies {A1;A2;A3;A4}; player 2’s set of strategies are {B1;B2;B3;B4}. Use the best-response approach to find all Nash equilibria.
A dentist sees about fifteen new patients per month (the rest of her patients are repeats). She knows that on average, over the past year, about half of her patients have needed at least one filling on their first visit.
A hypothesis test for a population proportion ρ is given below: Ho: ρ = 0.10 Ha: ρ ≠ 0.10
Assuming the life length of batteries is normally distributed, what is the p-value associated with this test? Place your answer, rounded to 3 decimal places in the blank. For example, 0.0234 would be a legitimate entry.
Firm A and Firm B are the only competitors in market. Each has to decide what price to set for its product. Once prices are set, they cannot be changed for year. Both companies set prices at the same time.
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