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Events occur according to a Poisson process with rate lambda=2 per hour. Starting at noon, what is the expected time at which the fourth event occurs?
A cylindrical drill with radius 2 is used to bore a hole throught the center of a sphere of radius 7. Find the volume of the ring shaped solid that remains using polar coordinates.
Select and discuss two examples of real life objects that incorporate the parabolic shape. Explain why the parabolic shape was used for the objects.
Suppose we want to determine the (binomial) probability (p) of getting 5 heads in 15 flips of a 2-sided coin. Using the Binomial table in the appendix of the text, what values of n, x, and p would we use to look up this probability, and what would..
Why can't a rational function have both a horizontal and an oblique asymptote? Construct your own rational functions to give examples.
Find the values of x and y that solve the following system of equations
In a large study of 1000 entries, 40 errors were found. Does the data support the null hypothesis based upon this experience?
a mountain is 15471 feet above sea level and a valley is 382 below sea level. What is the difference between the mountain and the valley.
At a particular University students must receive one of the following grades: A, B, C, D and F. What is the minimum number of students required in a course to ensure that at least 5 will receive the same grade?
Give the critical region, test statistic value, & conclusion for the F test.
Clarification of Probability Distribution. Determine whether each of the distributions given below represents a probability distribution. Justify your answer.
Find fourier series of f(x)=4, x greater than -3 and less than 3. Find fourier series of f(x) = x^2-x+3, x greater than -2 and less than 2
Prove that the mapping a(g) = g^-1 for all g in G is an automorphism if and only if G is Abelian. An isomorphism from a group G onto itself is called an automorphism of G.
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