Question 1

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Students in a class take a quiz with eight questions.  The number x of questions answered correctly can be approximated by the following probability distribution. 

x 0 1 2 3 4 5 6 7 8
P open parentheses x close parentheses 0.02 0.02 0.06 0.06 0.08 0.22 0.3 0.16 0.08
  1. Find the mean of the probability distribution to three significant digits.


  2. Find the variance of the probability distribution to three significant digits.


  3. Find the standard deviation of the probability distribution to three significant digits.


  4. Find the expected value of the probability distribution to three significant digits.
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