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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.
starting with the formula and substituting values for each variable provide all the steps of the calculations to arrive
A random sample of 20 Clarinex-D users is obtained, and the number of patients who experienced insomnia is recorded. Find the probability that exactly 3 experienced insomnia as a side effect.
Shall we reject the hypothesis that the population mean is 6.0? Interpret the result.
If it costs 1 cent to make a liver-flavored biscuit and 2 cents to make a chicken-flavored one, what is the optimal product mix for a package of the biscuits in order to minimize the firm's cost?
The owner of Britten's Egg Farm wants to estimate the mean number of eggs laid per chicken. A sample of 20 chickens shows they laid an average of 22 eggs per month with a standard deviation of 2.03 eggs per month.
For a discrete probability function that is given as: a. What is the expected value E(Y)? b. What is the standard deviation (σ) of the random variable Y?
three experiments delving into the relationship between the neccecisity for cognitive closure and persuasion were
Find out the probability that: First electric brush chosen is defective?
If the rainfall was recorded on 20 (instead of 10) randomly selected days throughout the year, the standard error of the mean would be equal to?
Public transportation and the automobile are 2 methods an employee can use to get to work each day. Samples of times recorded for each method are shown. Times are in minutes.
Use this information to develop a 95% confidence interval to estimate the production variance for the hourly wages of production workers in U.S. What is the value of upper limit of this confidence interval?
question for the following dataa. find the regression equation for predicting y from x.b. use
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