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Question: Electrical components of a particular type have exponentially distributed lifetimes with mean 48 hours. In one application the component is replaced by a new one if it fiats before 48 hours, and in cade it survives 48 hours it is replaced by a new one anyway Let T represent the potential lifetime of a component in continuous use, and U the time of such a component in use with the above replacement policy. Sketch the graphs of
a) The c.d.f. of T: b) the c.d.f. of U. is U discrete, continuous, or neither?
b) Find E(U). [Hint: Express U as a function of T.]
c) Does the replacement policy serve any good purpose? Explain.
For each of the following pairs of variables, is there likely to be a positive association, a negative association, or no association?
Suppose that the Goodyear Tire Company has historically held 42% of the market for automobile tires in the United States. Recent changes in company operations.
Task is exponentially distributed with a mean of 8 minutes. What is the probability that it will take a worker less than 4 minutes to complete the task (to 4 decimals)?
Smaller variability in bull-riding time translates to a more monotonous, unexciting rodeo. Is there any evidence that bull riding has become less exciting? Assume normality and use a = 0.05.
Assuming the switches function independently, find a formula in each case for the probability that a current can flow from left to right through the circuit.
You need to estimate the mean number of travel days per year for outside salespeople. The mean of a small pilot study was 150 days, with a standard deviation of 42 days.
For the new study, the estimate should be within 1% of the population proportion with a 90 percent confidence level. What is the necessary sample size?
sat i scores around the nation tend to have a mean scale score around 500 a standard deviation of about 100 points and
If the managing director's claim is true, what is the sample proportion value below which 10% of all sample proportions would exist?
What is the average rating for all CBC movies, and how about ABN movies and BBS movies
What percentage of success would you expect for these professional golfers if the putting distance was 10 feet?- Explain what the slope of 3.95 means in terms of how success changes with distance.
Find the 85th percentile of the score distribution. Find the interquartile range of the score distribution.
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