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A screening test which measures the level of a prostate speific antigen (PSA) is a commonly used tool for the detection of prostate cancer. Men with PSA levels greater than 10 have a chance of 67% of prostate cancer, whereas men whose PSA levels are between 4 an 10 have a 25% chance of having prostate cancer. For those whose PSA levels were lower than 4 there chance is only 5%. Suppose that 15% of men have PSA levels greater than 10, 10% of men PSA levels between 4 and 10 and 75% of men have PSA levels lower than 4.
a. What is the probability that a radnomly chosen man will develop prostate cancer?
b. What is the probability that a randomly chosen man hads a PSA level greater than 10, given that he has prostate cancer?
Determine if there is reason to reject the claim made by Winston Tire Company and conclude that tires last for less than 40,000 miles.
a population has a mean of mu 30 and a dtadard deviation of 5. if 5 points were added to every score in the population
the waiting time at a certain bank is approximately normally distributed with a mean of 3.7 min and a standard
let xij gallons of component i used in gasoline j. assume that we have two components and two types of gasoline.
In studying the behavior of air support roofs, the random variables X, the inside barometric pressure (in inches of mercury) and Y, the outside barometric pressure are considered. Assume that the joint density is given by
How large a sample would be necessary to estimate the population proportion with a margin of error of 0.05 at 95% confidence?
Was your test one-tail upper tail, lower tail, or two-tail? Explain why you chose that kind of test in this situation. Explain what your P-value means in this context.
the probabilities that a service station will pump gas into 0 1 2 3 4 or 5 or more cars during a certain 30-minute
Of the adult books, 70 are nonfiction while 60 of children's books are nonfiction. If the book is selected at random, determine the probability that is is?
Joe is considering pursuing an MBA degree. He has applied to two different universities. The acceptance rate for applicants with similar qualifications is 25% for University A and 40% for University B.
the u.s. bureau of labor statistics produces consumer price indexes for several different categories. shown here are
Compute the mean of the distribution of the sample means and the population mean. What is true about the two values?
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