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The discrete random variable X is the number of passengers waiting at a bus stop. The table below shows the probability distribution for X. What is the expected value E(X) for this distribution?
X 0 1 2 3 Total
P(X) .40 .30 .20 .10 1.00

Respuesta :

The Expected Value is the average value of the random variable over a large number of trials.

  • It is also called the mean of the distribution.
  • It can be calculated by using the formula

E(X)= ∑ x p(x)

The expected value of the number of passengers waiting at a bus stop is 1.

Therefore as the data is given the E(x) can be easily calculated:

E(X)= ∑ x p(x)

E(X)=  (0)0.4 + (1)0.3 + (2)0.2 + (3)0.1

E(X)=  (0) + 0.3 + 0.4 + 0.3

E(X)=  1

The expected value can be understood by

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