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If X is a non-negative random variable with E(X) = ?, then Markov's inequality tells us that for every a, P(X ? a) ? ?/a. As we saw in class, this bound is sometimes very loose. In this problem we'll look at a situation in which extra information can be used to tighten the bound.
Suppose that we are told X is bounded from below by some number b, meaning P (X ? b) = 1. Use this information to find a tighter bound on P (X ? a). Hint: Apply Markov's inequality to the r.v. Y = X ? b.
For concreteness, suppose E(X) = 1000 and P(X ? 500) = 1. Markov's says that P(X ? 2000) ? 1000/2000 = 1/2. Use your method find a tighter bound on P (X ? 2000).
Autonomous vehicles utilize integrated imaging and vision systems, sensor systems, and control systems to "drive a car". Determine what you believe are the top-five challenges of integrating these systems
so there is an array called arr2=[ 1 2 3; -2 -3 -4; 3 4 5]; what does it mean to access the subarray arr2(:, 1:2:3)? like what do u get when u type in that subarray and why?
Discuss how the IT department helps the organization achieve their strategic goals
What is the probability of occurrence of each of the four pairs in original sequence? Illustrate your work. What is the probability of occurrence of 0 and 1 in modified sequence?
Describe the same task using intelligent software agents
We must allow the traditions of men of old time who affirm themselves to be the offspring of gods that is what they say and they must surely have known their own ancestors.
Multiplexors whose control bit allows you to select between one of two modes right shift or left shift. Include logic to perform arithmetic shift left and arithmetic shift right . This means you must include logic to perform sign extension in ..
What information does the data mining generate?
What is "file type?" Where do file types come from? Write down some of the information that file types give (tip: think about copying and pasting, also importing/exporting between files)?
Section Number is an integer (such as 1 or 2) that distringuishes one section from another for the same course but does not uniquely identify a section. How did you model SECTION? Why did you choose this way versus alternative ways to model SECTIO..
Derive taylor's polynomials of degree n for: f(x) = (1+x)^(1/2) and f(x) = cos x. Find the approximate value of above functions at x = pi/4 by hand calculator upto two decimal points. Show steps.
write a method to set and retrieve an instructor's department
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