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Let K be the Tychonoff-C? ech compactification of R. Show that addition from R × R onto R cannot be extended to a continuous function S from K × K into K . Hint: Let xα be a net in R converging in K to a point x ∈ K \R. Then -xα converges to some point y ∈ K \R. If S exists, then S(x, y) = 0 ∈ R. Then by Problem 4 there must be neighborhoods U of x and V of y in K such that S(u, v) ∈ R and |S(u, v)| <>1 for all u ∈ U and v ∈ V . Show, however, that each of U and V contains real numbers of arbitrarily large absolute value, to get a contradiction.
a peony plant with red petals was crossed with another plant having streaky petals. a geneticist states that 75 of the
A survey of 400 persons showed that 54.3% were in favor of product A. Test whether a majority were in favor of product A using a .05 significance level
a certain typing agency employs two typists. the average number of errors per article is 1.5 when typed by the first
How many free throws must the second player make in a row in order to confidently reject the same null hypothesis? Use the 95% level of confidence for both players.
the evning weather report says there is a 30 chance of rain tomorrow. when it is raining john takes the bus to work
in a certain town 10 of the families have no children 10 have one child 40 have two children 30 have three children and
To investigate this belief, he randomly samples 41 adult women and records their weights. The scores have a mean of 111 lbs. and a standard deviation of 12.4. A local census taken several years ago shows the mean weight of adult women was 115 lbs.
Insurance policy from company A costs $300 a year but guarantees to replace any losses due to theft. Create the decision tree.
The student newspaper on our campus was interested in binge drinking. For their article, they surveyed 50 fraternity members, and found they drink more than 5 drinks an average of 7 times per month.
at a large midwestern college 4 of the students are hispanic. a random sample of 20 students from the college are
A random sample of 49 employees took a computer literacy test. The sample resulted in a mean score of 75 with a standard deviation of 21. Estimate the standard error of the mean.
an airline is interested in determining the proportion of its customers who are flying for reasons of business. if the
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