Question $5$

$1\mathrm{.}5/1\mathrm{.}5$ pts

Please note the numbers may change from one question to

another.

Teddy Bower is an outdoor clothing and accessories chain

that purchases a line of parkas from its Asian supplier,

TeddySports. Unfortunately, at the time of order placement,

demand is still uncertain. Teddy Bower forecasts that its

demand is normally distributed with mean of $3,500$ and

standard deviation of $1,000.$ Teddy Bower sells these parkas

during the season and any unsold parkas will be sold to a

discounter.

Suppose Teddy Bower orders $3,800$ units from the Asian

supplier. On average, how many customers does Teddy

Bower expect to turn away because of shortage?

$1014$

$300$

$0$

$934$

$267($this is the correct answer$)$

$*$Please explain how this answer $(267)$ was found. Thank you!