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  3. consider the following experiment: simultaneously

Consider the following experiment: Simultaneously toss a fair coin and, independently, roll a fair die. Write out...

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Statistics

Consider the following experiment: Simultaneously toss a faircoin and, independently, roll a fair die.

  1. Write out the 12 outcomes that comprise the sample space forthis experiment.
  1. Let X be a random variable that takes the value of 1 if thecoin shows “heads” and the value of 0 if the coin shows “tails”.Let Y be a random variable that takes the value of the “up” face ofthe tossed die. And let Z = X + Y. Construct the probability massfunction for Z.
  1. Find the mean for Z.
  1. Find the variance for Z.

Answer & Explanation Solved by verified expert
3.9 Ratings (688 Votes)
Let us assume that a fair coin is tossed and a fair die isrolled simultaneouslyIn tossing a fair coin we have Head H and TailT as thepossible outcomeIn rolling a fair die we have 1 2 3 4 5 6 as the possibleoutcomea Let S denotes the    See Answer
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