a. Of all students at the University of Metropolis, the proportions taking certain numbers of units are as shown in the table below.
Units | 3 | 4 | 5 | 6 | 7 | 8 |
---|---|---|---|---|---|---|
Proportion | 2% | 4% | 5% | 7% | 5% | 4% |
Units | 9 | 10 | 11 | 12 | 13 | 14 |
---|---|---|---|---|---|---|
Proportion | 8% | 10% | 13% | 13% | 17% | 12% |
Find the expected number of units that a student at U.M. takes.
(Enter your answer to two decimal places.)
units in $
b. On the basis of his sale records, a salesman knows that his weekly commissions have the probabilities shown below.
Commission | 0 | $1,000 | $2,000 | $3,000 | $4,000 |
---|---|---|---|---|---|
Probability | 0.11 | 0.2 | 0.49 | 0.1 | 0.1 |
Find the salesman's expected commission.
$
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