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Homer and Marge enter a co ffee shop simultaneously -- Homer to get a plain co ffee and Marge an espresso. At this co ffee shop, the amount of time X1 it takes to get a co ffee is exponentially distributed with mean 2 minutes, and the amount of time X2 it takes to receive an espresso is exponentially distributed with mean 10 minutes at the co ffee shop. Suppose that Homer and Marge are immediately served, and the service times X1 and X2 are independent. (a) Find the joint probability density function of X1 and X2. (b) What is the probability that Marge will get her espresso before Homer gets his co ffee? (c) Now, define Y = min(X1,X2) as the minimum of X1 and X2, that is, the amount of time it takes until whoever is served fi rst. We wish to fi nd the probability distribution of Y by the distribution function technique. (i) First find P(Y > y). (ii) Using the result in part (i), find the cdf, pdf, mean and variance of Y .
I have the t-score of 1.660 an a standard error of .036. I hope they are correct, but also need the test effect and test statistic, p-value.
If a random sample of 500 third year students is taken at a city university, what is an estimate of the probability that 20 percent or less had switched majors within their first two years?
In a simple linear regression analysis of 18 data points the following ANOVA table was found.
The prior year, the population mean expenditure per household was $632. Discuss the change in holiday season expenditures over the one-year period.
Using the .05 level, what should the researcher conclude? Solve this problem explicitly using all five steps of hypothesis testing.
Given that SAT test scores are normally distributed with a mean of 1000 and a standard deviation of 200, what is the lowest possible score a student needs to qualify for acceptance into the university?
Find ten consecutive composite numbers. Find the prime factors of 1147 and of 1716. Are there any common factors?
Develop appropriate hypotheses such that rejection of H0 will support the researcher's contention.
What is the probability that the first two cards dealt yields "Black Jack"?
What is statistical power? How does a researcher decide whether to use a one-tailed or two-tailed test? What are the advantages and disadvantages of using a two-tailed test?
Medicare spending per patient in different U.S. metropolitan areas may differ. Based on the sample data below, is the average spending in the northern region significantly less than the average spending in the southern region at the 1 percent leve..
A random sample of 40 clock batteries of this brand was selected. There is the probability of 0.95 that the sample mean lifetime will be less than t hours.What is the value of t?
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