Problem $13-2($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 given next:

$\backslash$table$[[$Possible Market Reaction,$\backslash$table$[[$Sales in$],[$Units$]],$Probabilities$],[$Low response,$25,0\mathrm{.}20],[$Moderate response,$40,0\mathrm{.}30],[$High response,$55,0\mathrm{.}20],[$Very high response,$60,0\mathrm{.}30]]$

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

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

$\backslash$table$[[$Expected value $,33,$units$]]$

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

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

$\backslash$table$[[$Standard deviation,$19\mathrm{.}77,$units$]]$