In the random experiment of rolling a single six-sided die, the random variable X takes the values 1, 2, 3, 4, 5, 6, and each of these values has probability ⅙. Compute the expected value E(X).  When all of the values of a random variable are equally likely, what is another name for the expected value? Recall the random experiment of rolling two four-sided dice in Activity 4.4.1, Question 1. Let X be the random variable representing the sum of the numbers indicated by the two dice. Compute the probability of each value of X. Compute E(X), the expected value of X.

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Activity 4.4.2: Expected Value

  1. In the random experiment of rolling a single six-sided die, the random variable X takes the values 1, 2, 3, 4, 5, 6, and each of these values has probability ⅙.
    1. Compute the expected value E(X). 
    2. When all of the values of a random variable are equally likely, what is another name for the expected value?
  2. Recall the random experiment of rolling two four-sided dice in Activity 4.4.1, Question 1. Let X be the random variable representing the sum of the numbers indicated by the two dice.
    1. Compute the probability of each value of X.
    2. Compute E(X), the expected value of X.
    3. Write one sentence interpreting the meaning of this value in the context of rolling two four-sided dice.
  3. Recall Question 3 of Activity 4.4.1. In the street map below, compute the expected number of turns made by a commuter choosing a random direct route from point T to point B.
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