In a certain school, the probabilities of the number of students who are reported tardy are...
In a certain school, the probabilities of the number of students who are reported tardy are shown in the following table:
| Number tardy: | 0 | 1 | 2 | 3 | 4 |
| Probability: | 0.16 | 0.25 | 0.31 | 0.21 | 0.07 |
What is the expected number of tardies (rounded to two decimal places)?
Homework Answers
Solution
E(X) = 
X * P(X)
= 0 * 0.16 + 1 *0.25 + 2 *0.31 + 3 * 0.21 + 4 * 0.7
= ( 0+ 0.25 + 0.62 +0.63+2.8 )
= 4.3
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