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Tom shops for probability books forK hours, whereK is a random variable that is equally likely to be 1,2,3,or 4. The number of books N that he buys is random and depends on how long he shops according to the conditional PMF pNjK(njk) = 1 K, for n = 1; :::; k.
(a) Find the joint PMF of K and N.
(b) Find the marginal PMF of N.
(c) Find the conditional PMF of K given that N = 2.
(d) Find the conditional mean and variance of K, given that he bought at least 2 but no more than 3 books.
(e) The cost of each book is a random variable with mean 30. What is the expected value of his total expenditure?
We wish to create this mean value interval for selling price with 95% confidence level. Find out the best point estimate (average) for selling price. Critical t-value(s) associated with 95% confidence level.
Sample mean is 50, t-statistic is 1.96, and standard error of sample mean is 2. Determine the 95 percent confidence interval?
Blood tests showed a sample mean of 8.1 pH with sample standard deviation s = 0.6 pH. Use a 5% level of significance to test the claim that the drug has changed (either way) the mean pH of the blood.
A standard deviation of 50. If an applicant is randomly selected, find the probability of a rating that is between 170 and 220. help solve statistics.
Perform a significance test to see if there is a relation between mortality and duration of employment in the group hired AFTER 1945 and report a p-value.
Use confidence interval to determine the estimated margin of error, Then determine the sample mean.
If the oven gets hotter than 475 degrees F, the core is defective. What is the probability that the oven will cause a core to be defective?
Give an example of a repeated measures analysis of variance (ANOVA)--no examples of therapy or temperature.
Bicycle helmet use. Table lists data from a cross-sectional survey of bicycle safety. The explanatory variable is a measure of neighbourhood socioeconomic status (variable_RFM). The response variable is "percent of bicycle riders wearing a helmet"..
Set up a hypothesis test to validate this claim. Using a significance level of .01 to test this hypothesis, what is your decision rule
How to decide whether your test should be one-tailed or two-tailed/directional or non-directional. Gives an example of each type, with an explanation of why it is/is not directional.
An independent financial advisor claims an average rate of return, μ, on a particular investment is at least 7%. In testing her claim, the correct pair of hypotheses is:
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