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Prove that the function f(x) = C (a constant function) is Reimann integrable over [a,b] and calculate its Reimann integral over [a,b]
(Follow the technique of the function f(x) = x^2)
Consider a state lottery that has a weekly television show. On this show, a contestant receives the opportunity to win $1 million. The contestant picks from 4 hidden windows
In what fundamental way does the solution set of a system of linear equations differ from the solution set of a system of linear inequalities?
Calculate the mean of the distribution of sample means and the population mean.
Let N be a positive integer. Let d be an integer relatively prime to phi(N) (phi denotes the euler totient function). Prove that there exists a d' in Z (=integers) with dd'=1 mod phi(N).
Discrete Distributions : Bernoulli, Binomial, Discrete Uniform, Geometric Negative Binomial or Poisson, My main problem is deciding with discrete distribution to use: BERNOULLI, BINOMIAL, DISCRETE UNIFORM, GEOMETRIC NEGATIVE BINOMIAL, OR POISSON.
What is the probability that all four share the same birthday? What is the probability that none of the four shares the same birthday?
Suppose you are at the gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation:
Quadratic Equation - Cancellation Round-off Error - Numerical Analysis - Looking for Solution Confirmation Using (2), x1 = (11.01 - 11.0077) / (2 * 1.002) = 0.0012
Probability problems based on Poisson & Normal distribution
Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel (in gallons) in its tank. When graphed, the function gives a line with a slope of 6.4.
The measure of the central angle of the sector
Service station cars arive randomly at a rate of 1 car every 30 min. the average time to change oil on a car is 20 min. both the time between arrivals and service time can be modeled using the negative exponential Poisson distribution.
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