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Suppose that f is continuous on [a,b]. Prove that f is integrable, i.e., ( the integral symbol with b at top and a at the bottom) f exists.
Important information about Probability and Expected Value. Assume that two marbles are drawn without replacement from a box with 1 blue, 3 white, 2 green, and 2 red marbles. Find the probability that the second marble is blue, given that the firs..
Compute the derivative of the given function and find the equation of the line that is tangent to its graph for the specified value of x0.
Identify the meaning of independent and dependent events. Calculate probabilities and joint probabilities of simple events. Explain the basic logic of probability theory
Choose the largest subset for cover, and then remove all its elements from universal set. Repeat by adding subset consisting of largest number of uncovered elements until all is covered.
How many different triple-scoop cones can be made if the flavors can be duplicated?
You are in the market for oranges. The supply equation (in millions) for oranges is : S(P)= .3p^2 +11P - 40 The demand equation is D(P) = .7p^2 +P - 1
Determine the probability without replacement
Think of a mathematical function that represents something from your own life. For example, suppose the number of beers you drink depends on the number of football games you watch. If you drink five beers during every football game, the function w..
Find the solutions of the congruence 12x^2 + 25x = 10 (mod 11). [Hint: Show the congruence is equivalent to the congruence 12x^2 + 25x + 12 = 0 (mod 11).
Consider a seven-game world series between team A and B, where for each game, what is the most likely number of games to be played in the series for p=0.6?
Prove using mathematical induction.
Objective questions based on regression.
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