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Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A)= .30 and P(B) =.40.
a. What is P(A B)?
b. What is P(A B)?
c. A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Do you agree with this statement? Use the probability information in this problem to justify your answer.
d. What general conclusion would you make about mutually exclusive and independent events given the results of this problem?
Appalachian Coal mining believes it can enhance labor productivity and therefore net revenue by reducing air pollution in its mines. It estimates that the marginal cost function for reducing pollution by installing additional capital equipment is.
4th graders in the US take a standardized test for math. The national average score is 237. Did your state, as represented by your students, out perform the national average using a statistically significant measure?
We want to estimate the population mean within 5, with a 99 percent level of confidence. The population standard deviation is estimated to be 15. How large a sample is required?
A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2823 occupants not wearing seat belts, 31 were killed. Among 7765 occupants wearing seat belts, 16 were killed.
What is the mean amount spent on insurance? If we select a family at random, what is the probability they spend less than $2,000 per year on insurance per year?
Using the following data, test the question that an equal number of Democrats, Republicans, and Independents voted during the most recent election.
Suppose a machine is worth 33000 after 4 years and 18000 after 8. Find the rate of depreciation using the linear depreciation method
How do you know if a quadratic equation will have one, two, or no solutions? How do you find a quadratic equation if you are only given the solution? Is it possible to have different quadratic equations with the same solution? Explain.
It does not matter, when data are skewed mean and median are the same.
Your population mean has always been 9 customers per hour. The sample standard deviation is 4. The sample size is 25. The sample mean is 8.
Defective components in a unit? further what is the probability in a unit(i)less then 3 components are defective? (ii)exactly 3 components are defective?
The populations must all be normally distributed, what is meant by normally distributed?
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