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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.
Can we infer from these data that there is a positive linear relationship between the value of the fund and the price of gold - Mutual funds minimize risk by diversifying investments they make.
A production process manufacturers alternators. On the average, 1% of the alternators will not perform properly when tested in the plant. When a large shipment of alternators is received at the plant
An assembly line turns out 10% deffectives. Determine an acceptance number and sampling plan for samples of size 14 and a producers risk of 3%. (AQL = 10)).
Bob, who is different in many ways measures time in days, with 0 corresponding to his birth date. The day before his birth is -1 , the day after his birth is +1 and so on
Gerald takes the ACT Assessment mathematics test and scores 27. ACT math scores for 2007 were Normally distributed with mean 21.0 and standard deviation 5.1. What is Eleanor's standardized score?
suppose y is the daily revenue for some company where ey 10000 and vary 2 540000 and ?y 734.85.a if y is normally
Data in table represent number of consumer complaints against major U.S. airlines. If one complaint from table is arbitrarily chosen, determine the probability that it was filed against United Airlines.
based on the certain data a null hypothesis is rejected at the 0.05 level of significance. would it also be rejected at
suppose that x and y are independent exponential random variables each with rate lambda. what is the conditional
1 due to normality the formula for computing z is the same for a single data value as it is for an average of the data
Which of the following preference orderings, if any, could characterize his preferences? Tell me any/all that apply, and explain how you know this.
A newspaper conducted a statewide survey concerning a proposal to raise taxes to prevent budget cuts to education. The newspaper took a random sample (assume it is an SRS) of 1200 registered voters and found that 580 would vote to raise taxes. Let..
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