Question

An attendant at a car wash is paid according to the number of cars that pass through. Suppose the probabilities are 1/12, 1/12, 1/4, 1/4, 1/6, and 1/6, respectively, that the attendant receives $7, $9, $11, $13, $15, or $17 between 4:00 P.M. and 5:00 P.M. on any sunny Friday. Find the attendant’s expected earnings for this particular period.

Answer 1

Answer:

The expected earnings of the attendant for this particular period are: $12.66

Step-by-step explanation:

We have to calculate expected mean here:

So,

E(x) = ∑x*f(x)

$E(X) = \{(7 * \frac{1}{12} )+(9 * \frac{1}{12} )+(11 * \frac{1}{4} )+(13 * \frac{1}{4} )+(15 * \frac{1}{6} )+(17 * \frac{1}{6})\\= 0.58+0.75+2.75+3.25+2.5+2.83\\=12.66\ dollars$

Therefore, the expected earnings of the attendant for this particular period are: $12.66 ..