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1. If X, Y , and Z are uniform spaces, f is uniformly continuous from X into Y , and g is uniformly continuous from Y into Z , prove that g ? f is uniformly continuous from X into Z.
2. Prove that any uniformity has a base consisting of symmetric sets.
3. For the real line with usual topology, find two different uniformities giving the topology. Hint: Give two metrics for the topology such that the identity is not uniformly continuous from one metric to the other.
Find the probability that a sample of size 9 will yield a mean and find the probability that the sample proportion
What is the probability of getting someone who is in the 23-30 age brackets or whom smokes?
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use a normal approximation to find the probability of the indicated number of voters. in this case assume that 145
What type of data would you obtain from a rating scale? Prove an application/example in your response of how this instrument could be used. For what population would you use a graphical rating scale?
explain the general rationale behind using a z-score for describing how an individual performed on an exam compared to
We have a card game with 52 cards, consisJng of 4 suits (Dia, Clu, Hea, Spa), the cards are numbered Ace-10, then J,Q, K in each suit.
1. find the critical value. assume that the test is twotailed and that n denotes the number of pairs of data. n 30 a
a parcel service randomly selected 48 packages it received. the sample has a mean weight of 18.6 pounds. assume that
Form the cumulative percentage distribution and plan a cumulative percentage polygon.
Determine the mean, median, and mode for data set: 12.75, 18.32, 19.41, 12.75, 18.30, 19.45, 19.33
To test this notion, eight paid volunteers were placed (individually) in a room in which there was no light from the outside and no clocks or other indications of time.
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