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1. Show that, if X and Y are random variables taking on only two values each, and if E(XY ) = E(X)E(Y ), then X and Y are independent.
2. A royal family has children until it has a boy or until it has three children, whichever comes first. Assume that each child is a boy with probability 1/2. Find the expected number of boys in this royal family and the expected num- ber of girls.
a specific automotive part that a service station stocks in its inventory has a 8 chance of being defective. suppose
a random sample of 100 foxes was examined by a team of veterinarians to determine the prevalence of a particular type
This sample is 500 so the distribution of the sample means will be normal, no matter what the shape of the actual distribution of dollar losses.
Use normal approximation to determine probability that x = 2. Illustrate all work.
suppose you want to estimate the average number of sick days taken by all employees at a large company during a year.
Different methods - a traditional method, and a web-based self-paced method. Can he conclude, at α = .05, that the test scores in the web-based self-paced method are lower?
He argues that regression effect says people who do very poorly in their previous job tend to perform well in their next job. Is this what the regression effects? Describe in detail.
a repeated-measures study finds a mean difference of md 5 points between two treatment conditions. which of the
The flashlight batteries produced by Manufacturer X are known to have a mean life of 60 hours, with a standard deviation of 4 hours. At least what percentage of flashlights will have a life of 54 to 66 hours?
Use Hypothesis Testing and the data in the course materials folder to analyze the difference in milk production in California. Formulate both a numerical and verbal hypothesis statement regarding your research issue.
we randomly choose letters one at a time without replacement from the word choose until both os have been obtained.
A) Please develop the Expected frequencies table based on the above information.
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