Question

Determine whether a probability distribution is given. If a probability distribution is given, find its mean...

Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. Keep fractional values to 4 significant digits.

For a small community, the probability distribution for the number x who passed away through the last five years is as given in the following table.

                        x          P(x)

                        0          0.00

                        1          0.15

                        2          0.35

                        3          0.30

                        4          0.20

  1. Is this a valid probability distribution?
  2. If the mean can be calculated, what is it?
  3. Can the standard deviation be calculated?

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