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$[[,$Sales in$,],[$Possible Market Reaction,Units,Probabilities$],[$Low response,$40,0\mathrm{.}10],[$Moderate response,$55,0\mathrm{.}20],[$High response,$65,0\mathrm{.}20],[$Very high response,$80,0\mathrm{.}50]]$

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,units$]]$

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

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

Standard deviation

unitsu