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1. If Si are sets with discrete topologies, show that the product topology for finitely many such spaces is also discrete.
2. If there are infinitely many discrete Si , each having more than one point, show that their product topology is not discrete.
3. Show that the product of countably many separable topological spaces, with product topology, is separable.
Major League Baseball's World Series is a maximum of seven games, with the winnerbeing the first team to win four games.
It was found that in a sample of 215 teenage boys, 59% of them have received speeding tickets. What is the 95% confidence interval of the true proportion of teenage boys who have received speeding tickets?
one environmental group did a study of recycling habits in a california community. it found that 72 of the aluminum
For each of the following situations, indicate the appropriate measure, incidence rate or prevalence rate and the numerical value of the rate.
Below is a cross-tabulation table of data from a 12-week study of diet and exercise. Compute the following probabilities (show the calculations): Marginal Probability and Joint Probability
If a vending machine will only accept coins weighing between 5.48g and 5.82g, what percentage of legal quarters will be rejected?
What is the probability that the mean breaking strength of the 3 untreated specimens is at least 25 pounds greater than the mean strength of the 3 treated specimens?
Assuming the weight of cereal is normally distributed, determine the likelihood that a package will contain more than 12.2 ounces. Calculate using megastat.
In the week before and the week after a holiday, there were 10,000 total deaths, and 4972 of them occurred in the week before the holiday.
What research study includes repeated observations over a period of time? What type of research uses focus groups or small studies to get a "feel" for the problem?
There are k types of distinct postcards. How many ways are there to send these postcards to n friends? (Each friend can get zero cards, also multiple copies of the same card.)
according to the u.s. national center for health statistics 25.2 percent of men and 23.6 percent of women never eat
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