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Let f_n : [0,1] -> R be a sequence of continuous functions such that for each n in N (natural numbers), f_n is differentiable on (0,1). Suppose that f_n(0) converges to some number, denoted f(0), and also suppose that the sequence (f'_n) converges uniformly on (0,1) to some function g: (0,1) -> R. Prove that the sequence (f_n) converges uniformly. What is its limit?
Solving problems conditional probability
A recent study reported that college students study for an average of four hours per day. You believe this figure is too large & you decide to conduct your own test. Find the p value & explain its meaning.
Formulate a linear programming model for the problem.
I have found the number of deaths in the United States due to each medical condition in each of the following years.
Find number of ways using permutation
Determine the type I and type II error
The Chi square test
The line y=0.15x + 0.79 represents an estimate of the average cost of gasoline each year. The line 0.11x-y=-0.85 estimates the price of gasoline in January of each year.
Prove using mathematical induction.
Mutually Exclusive events, Probabilities, and Binomial Distribution. Use the frequency distribution below to answer questions 13-17. The number of school-related extracurricular activities per student.
Compute Dice Probabilities Solution Set, I roll two dice. Work out what the probability of achieving a 5 on either die
Probabilities from proportion tables, The following tables give the proportions of men and women in the U S population, and the proportions of men and women who have never married, in a recent year.
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