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Let X be a continuous random variable with the PDF f and the CDF F. Assume that f(x) > 0 for all real numbers x. Define the random variable Y = F (X ). Show that Y is uniform in the interval [0, 1].
Solve the following.
the average cost function.
Solving the expression by using order of operations
Make a graph for f
Find the slope of a line.
Use simplex method to maximize the objective function.
Calculate the age of a bone fossil
Solve the inequality and express the solutions
Find the solution to the system for linear equation by using the given equation.
Let n be an integer.
Find the radius of a spherical tank that has a volume of 32pie /3 cubic meters. An investment of $10k is worth $24,780 in 2006. Find the 5 year average annual return.
A computer can do one calculation in 1.4 x 10 exponent -7. how long would it take the computer to do a trillion 10exponent 12 calculations round to one decimal place. Give the answer in scientific notation.
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