On driving from destination A to B, the following probabilities were calculated. The probability to reach...
On driving from destination A to B, the following probabilities were calculated. The probability to reach destination B on time is 0.8, the probability to reach destination B 1 hour late is 0.5, the probability to reach destination B 2 hours late is 0.1, and the probability to reach destination B 3 hours late is 0.08. What is the expected value of lateness?
Homework Answers
Given,
Probability to reach destination on time = P(x=0) = 0.8
Probability to reach destination 1 hour late = P(x=1) = 0.5
Probability to reach destination 2 hours late = P(x=2) = 0.1
Probability to reach destination 3 hours late = P(x=3) = 0.08
| xi | 0 | 1 | 2 | 3 |
|---|---|---|---|---|
| P(xi) | 0.8 | 0.5 | 0.1 | 0.08 |
Expected value of lateness E(x) is computed as follows:
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