anonymous
  • anonymous
The following table shows the probability distribution for a discrete random variable. X 13 16 18 21 23 25 26 31 P(X) 0.07 0.21 0.17 0.25 0.05 0.04 0.13 0.08 The mean of the discrete random variable X is 20.59. What is the variance of X? Round your answer to the nearest hundredth.
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
First, subtract the mean from each number and square it: (x -mean)^2. Write each of these numbers down. Now, multiply each one of these numbers by the probability of that variable: p(x) * (x-mean)^2. Add these together and you have the variance.

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