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Question: Suppose the BART train system in California has 5 backup generators in use in the North Bay Area for when PG&E cuts power. Each one of them has a probability of 0.99 when functioning turned on. You may assume independence of the generators.
A. What is the probability that none of the generators will work?
B. If we require the use of 2 generators to provide enough power for the day, what is the probability we will not be able to provide that power?
Calculate the net present value for this project assuming a cost of capital of 15 per cent. Explain how this calculation might help the company.
Explain why the hypothesis test in that problem is a test of homogeneity as opposed to a test of independence.
What cautions do you have about random variables when it comes to distribution?
What are the differences and similarities between the z-score hypothesis test, singe sample t-test and the independent samples t-test.
Suppose there are 50 married couples. After some years, 20 of these 100 people have died. Regard the 20 deaths as striking the 100 people at random.
Find the margin of error for the values of c,s,and n and construct the confidence interval to find the estimated margin of error. Then find the sample mean.
Test to determine if action movies cost more than the average movie budget. Solve using the Traditional Method. Use a= .05.
A sociologist is interested in knowing whether adults who were bullied as children differ from the general population in terms of their empathy for others.
For a simple random sample of ten patients who have recently had knee surgery, the scores are as follows: 101, 92, 94, 88, 52, 93, 76, 84, 72, and 98. Construct and interpret the 90% and 95% confidence intervals for the population mean.
The recorder has an instantaneous failure rate of 0.0002 failures/hour (constant rate). What is the probability that the system is functioning after 1000 hours? (Show work).
In order that the sample proportion and the population proportion not differ by more than 0.05 with 95% level of confidence, what sample size should be used?
Kids. A couple plans to have children until they get a girl, but they agree that they will not have more than three children even if all are boys.
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