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Question: Compute probabilities for the following compound events:
A physician has diagnosed a patient as having either hepatitis or liver cancer (but not both). Statistics reveal that hepatitis occurs in the general population twice as frequently as liver cancer. Thus, the physician tentatively concludes that the patient probably has hepatitis. Later the physician conducts a test on the patient that turns out positive. On this test, nine out of ten cases of liver cancer trigger a positive outcome, and one out of six cases of hepatitis triggers a positive outcome. What is the new probability that the patient has liver cancer?
a bottling company produces bottles that hold 12 ounces of liquid. periodically the company gets complaints that their
The following data refers to gross earned income, in thousands of dollars per year, and level of taxation on that income.
As a part of their testing program Sony tests samples of 25 batteries. What can you say about the shape of the distribution of sample mean?
A matched pairs experiment compares the taste of instant versus fresh-brewed coffee. Each subject tastes two unmarked cups of coffee, one of each type, in random order and states which he or she prefers.
compute the coefficient of determination. round your answer to four decimal places. a regression equation is obtained
The standard deviation of a normal distribution is 12 and 95% of the values are greater than 6. What is the value of the mean? The mean of a normal distribution is 132, and only 10% of the values are greater than 155. What is the standard deviation?
Using the 0.05 level of significance, is the average miles-per-gallon rating on the highway for cars using the new engine different from the rating for cars using the old engine?
Question 1. A production process is known to produce a particular item in such a way that 5 percent of these are defective. If two items are randomly selected as they come off the production line, what is the probability that both are defective (a..
Let X+=P?+(r)T be the generalized inverse of a (n x p) matrix X (Theorem 5.1). Show that the following relations hold:
Given that Vacationer will travel less than 500 miles, Find out the probability that he/she will drive or take the Bus/Train?
The Office of National Statistics have a calculator which allows you to check your own, personal, inflation rate. This is accessed via the home page of ONS ('Guidance & methodology' → 'Interactive content' → 'Personal inflation calculator')
the number of people arriving for treatment at an emergency room can be modeled by poisson process with rate parameter
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