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Of 20 rats in a cage, 12 are males and 9 are infected with a virus that causes hemorrhagic fever. Of the 12 male rats, 7 are infected with the virus. One rat is randomly selected from the cage.
(a) If the selected rat is found to be infected, what is the probability that it is female?
What is dispersion? Briefly name five measures of dispersion. Describe the characteristics of the standard deviation. Explain
C-Spec has determined that the machine has a sample mean of 4.001 inches with a standard deviation of .002 inch. Calculate the (capability index) for this machine.
At a significance level of .05, the management wants to perform a hypothesis test to determine whether the quality of items produced appears to be independent of the production process used. Calculate the expected number of defective units produce..
A computer system uses passwords constructed from the 26 letters (a to z) or 10 integers (0 to 9). Suppose there are 10000 users on the system with unique passwords. A hacker randomly selects (with replacement) passwords from the potential set.
Tim has two more problems to solve on his test, but he doesn't know how long it will take to finish them. He assigns mutually irrelevant normal distributions to the times
The associated standard deviations are $ 8. thousand, $ 10. thousand, and $ 2. thousand. Assuming independence of outcomes, find the mean and standard deviation (in thousands of $) of the consultant's total profit from these three projects.
A test was conducted to determine whether gender of a spokesperson affected the likelihood that consumers would prefer a new product.
Let A be the event that a student is enrolled in an accounting course, and let S be the event that a student is enrolled in a statistics course.
The standard deviation of the expenditure is $3. A simple random sample of 64 students is taken. What are the expected value, standard deviation, and shape of the sampling distribution of the sample mean?
What is the probability that the second pipe (with length Y) is more than 0.15 feet longer than the first pipe (with length X)? Give your answer to four decimal places. Hint: Do not use calculus to get your answer.
Is there a significant difference in the average prices for these two different supermarket chains? Test at α = 0.05
The Oakland Bombers professional basketball team just missed making the playoffs last season and believes it needs to sign only one very good free agent to make the palyoffs next season.
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