3. From the table below, find Prof. Xin expected value of lateness. (5 points) Lateness P(Lateness) On Time 4/5 1 Hour Late 1/10 2 Hours Late 1/20 3 Hours Late 1/20

An expected value is the theoretical mean value of a numerical experiment over many repetitions of the experiment.

Expected value of lateness is   hours.

Let us consider, P(x) is represent that probability of lateness and x represent number of hours late.

So, below a table is formed.

         x       0             1            2           3

      P(x)      4/5         1/10      1/20       1/20

From formula of expected value,

        E(x) = ∑ x P(x)

So, expected value of lateness is 7/20 hours.

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The expected value of lateness hours.

Step-by-step explanation:

The probability distribution of lateness is as follows:

  Lateness             P (Lateness)

  On Time                     4/5

1 Hour Late                  1/10

2 Hours Late                1/20

3 Hours Late                1/20

The formula of expected value of a random variable is:

Compute the expected value of lateness as follows:

Thus, the expected value of lateness hours.

step-by-step explanation:

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step-by-step explanation: