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Richard has just been given a 10-question multiple-choice quiz in his history class. Each question has four answers, of which only one is correct. Since Richard has not attended class recently, he doesn't know any of the answers. Assuming that Richard guesses on all ten questions, what is the probability he answers at least half correctly?
A burglar plans his crimes so carefully that the lengths of the burglary are uniformly distributed between 50.0 and 52.0 minutes. Find the probability that a given burglary runs between 51.0 and 51.5 minutes.
At the 0.05 level of significance, is there evidence to suggest that the population mean waiting time to check out is less than 10.73 minutes?
When using past data, I have found that the proportion of items rejected by quality control personnel is about 3%. We normally make 5000 items per day. For a p chart, what are the upper and lower control limits?
Determine the critical region and critical values for z that would be used to test the null hypothesis at the given level of significance, as described in each of the following:
A microwave oven repairer says that the mean repair cost for damaged microwave oven is less than $90. You work for the repairer and want to test this claim.
Some defendants in criminal proceedings plead guilty and are sentenced without a trial, whereas others who plead innocent are subsequently found guilty and then are sentenced.
When n = 250, determine the probability that proportion of couples in sample who are racially or ethnically mixed will be greater than 0.07?
Calculate the mean, median and mode for both sets and do graph/histogram to chart the results and conclude if indeed one set of year had more the other as far a snowfall.
A production process manufacturers alternators. On the average, 1% of the alternators will not perform properly when tested in the plant. When a large shipment of alternators is received at the plant
ABC Auto Insurance classifies drivers as good, medium, or poor risks. Drivers who apply to them for insurance fall into these three groups in the proportions: 30 percent, 50 percent, and 20 percent, respectively.
Two servers with lambda 1 & lambda 2 service times exponentially distributed. Pat waits in a line to get served by any of the two servers. What is the waiting time of pat if no one is on the line?
Answer all of these questions using R Commander. Include all graphs, outputs from R Commander.
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