Question

If each soda sells for $2.50, what is the expected daily total dollar amount taken in by the vendor from the sale of sodas?

Answer 1

$34.38

Explanation:

Y: A random variable that indicates the amount of money that the seller will receive.

p=2,50$

if x=0 → y=0.2,50=0$

if x=5 → y=5.2,50 = 12,5 $

if x=10 → y=10.2,50= 25$

if x=15 → y=15.2,50= 37,5$

if x=20 → y=20.2,50= 50 $

if x=25 → y=25.2,50= 62,5$

Y= { 0$ ; 12,5$ ; 25$ ; 37,5$ ; 50$ ; 62,5$ }

E(Y)= ∑Y.P(Y)

= 0.P(0)+12,5.P(12,5)+ 25.P(25)+ 37,5.P(37,5)+ 50.P(50)+ 62,5.P(62,5)

= 0.0,01+ 12,5.0,15+ 25.0,25+ 37,5.0,3+ 50.0,25+ 62,5.0,04

= 0 + 1,875 + 6,25 + 11,25 + 12,5 + 2,5

= 34,38$ expected value of the amount of money the seller receives.