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"I have 2 cats, Ray and Felix, who behave independently of one another. I know that at 4:00 pm there is a 0.9 chance that Ray will be in my garage and a 0.4 chance that Felix will be in my garage.
(a) If I walk into my garage some day at 4:00 pm, what is the probability that at most one cat will be there?(b) Consider the event "Ray is in the garage" and the event "Felix is not in the garage." Are these events mutually exclusive?(c) Consider the random variable Y which represents the number of cats I find in my garage at 4:00 pm. Determine the distribution of Y (Hint: Start by writing out the sample space.)(d) What is the mean number of cats in my garage at 4:00 pm?
Assume each shot is independent of the others. If she shoots 6 arrows, what's the probability of each result described below. Her first bull's-eye comes on the third arrow.
Assume that increasing and decreasing allergic reactions are equally likely if the training has no effect. Use alpha = .05
The hypothesis is that the average number of customers served per hour is 24 or less against the alternative hypothesis that the mean number of customers waiting is greater than 24.
A humane society claimes that less than 36% of U.S. households own a dog. In a random sample of 396 U.S. households, 151 say they own a dog. At x=0.04, is there enough evidence to support the society's claim?
Create the acceptance-rejection technique for creating the geometric random variable, X, with parameter p on range {0, 1, 2, ...}.
Construct a 99% confidence interval estimate of the population mean amount of paint in a 1-gallon can.
Assume the population proportion is p = .25. What is the probability that the sample proportion will be within +/- .03 of the population proportion if a sample of size 1,000 is selected (to 4 decimals)?
Two hundred seeds of such a cross are raised, and 142 turn out to be blue-flowering. Are the data consistent with the model?
I am writing a thesis and need a paired difference statistical analysis with a confidence level at 95% with t-value for alpha of 0.25
The trial failed to show significance. How many subjects would be required to detect the difference in proportions observed in the trial with 80% power?
Medical studies have shown that 10 out of 100 adults have heart disease. When a person with heart disease is given an EKG test, a 0.9 probability exists that the test will indicate the presence of heart disease.
Which is the probability of that the median of the sample or average medians be between 320 and 350 minutes?
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