Problem $13\mathrm{.}2($Algo$)$ Expected value and standard deviation $[$LO$13-1]$

Myers Business Systems is evaluating the Introduction of a new product. The possible levels of unit sales and the probabilities of their

occurrence are glven next:

Low response

Moderate response

High response

Units

in

$15$

Pr

$0\mathrm{.}20$

very high response

$3055$

$60$

$0\mathrm{.}300\mathrm{.}20$

e$.30$

a$.$ What is the expected value of unit sales for the new product?

Note: Do not round intermedlate calculations and round your answer to the nearest whole unit.

Expected value

b$.$ What is the standard devlation of unit sales?

Note: Do not round intermedlate calculations. Round your answer to $2$ decimal places.