Six different colored dice are rolled. Of interest is the number of dice that show a "2." Give the distribution of X. (Enter the probability as a fraction.) X ~ ____ (____ , ____) On average, how many dice would you expect to show a "2"? Find the probability that all six dice show a "2." (Round the answer to five decimal places.) I need help solving the questions above, please explain each step. I want to understand it better. Thank you

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Six different colored dice are rolled. Of interest is the number of dice that show a "2."

  • Give the distribution of X. (Enter the probability as a fraction.)
    X ~ ____ (____ , ____)
  • On average, how many dice would you expect to show a "2"?
  • Find the probability that all six dice show a "2." (Round the answer to five decimal places.)

I need help solving the questions above, please explain each step. I want to understand it better. Thank you

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