If a dealer's profit, in units of
$30003000,
on a new automobile can be looked upon as a random variable X having the density function below, find the average profit per automobile.
f(x) |
equals= |
left brace Start 2 By 2 Matrix 1st Row 1st Column StartFraction
1 Over 22 EndFraction left parenthesis 12 minus x right parenthesis
comma 2nd Column 0 less than x less than 2 comma 2nd Row 1st Column
0 comma 2nd Column elsewhere EndMatrix
|
TOPIC:Expected value of random variable.
(Since, the unit of X in $3000 units).
(The answer is rounded to the nearest whole number.)
If a dealer's profit, in units of $30003000, on a new automobile can be looked upon...
Determine ModifyingBelow lim With x right arrow c Superscript pluslimx→c+f(x), ModifyingBelow lim With x right arrow c Superscript minuslimx→c−f(x), and ModifyingBelow lim With x right arrow climx→cf(x), if it exists. cequals=22, f(x)equals= left brace Start 2 By 2 Matrix 1st Row 1st Column 3 minus x 2nd Column x less than 2 2nd Row 1st Column StartFraction x Over 2 EndFraction plus 1 2nd Column x greater than 2 EndMatrix 3−x x<2 x2+1 x>2
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