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:

Possible Market Reaction

Low response

Moderate response

High response

very high response

Sales in

Units

$30$

$40$

$55$

$65$

Probabilities

$0\mathrm{.}10$

$0.10$

$0\mathrm{.}20$

$0\mathrm{.}60$

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.

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

units