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Mathematical Preliminaries

msladey Algorithms University Inglés 9 fichas

Mathematical Preliminaries

Fichas del conjunto (9)

  1. 1What is a Random Variable?A mapping from each outcome to a real number
  2. 2What is Pr(Y = 2) ?1/2What is Pr(Y = 2) ?
  3. 3What is E(Y)?7/2What is E(Y)?
  4. 4According to Linearity of Expectation, what is this expression equal to?According to Linearity of Expectation, what is this expression equal to?According to Linearity of Expectation, what is this expression equal to?
  5. 5What is an Indicator Random Variable?A random variable that can only be a 0 or 1. It has the property: E(I) = Pr(I = 1), where I is the indicator random variable.
  6. 6What is Markov's Inequality? Suppose the mean speed on a motorway is 120 mph. What is Pr(X >= 240) given that X is a random variable denoting the speed of 1 car?1/2What is Markov's Inequality? Suppose the mean speed on a motorway is 120 mph. What is Pr(X >= 240) given that X is a random variable d...
  7. 7If X is a non-negative random variable that only takes integer values. What is Pr(X > 0) equal to, and that is less value less than or equal to according to Markov's Inequality.If X is a non-negative random variable that only takes integer values. What is Pr(X > 0) equal to, and that is less value less than or...
  8. 8Let V1, ... , Vk be k events. What can you say about this expression?Let V1, ... , Vk be k events. What can you say about this expression?Let V1, ... , Vk be k events. What can you say about this expression?
  9. 9What is the upper and lower bounds on:What is the upper and lower bounds on:What is the upper and lower bounds on:

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Mathematical Preliminaries for Advanced Algorithms Course
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msladey
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