Anticipated consumer demand in a restaurant for free range steaks next month can be modeled by a normal random variable with mean $800$ pounds and standard deviation $110$ pounds.

a$.$ What is the probability that demand will exceed $600$ pounds?

b$.$ What is the probability that demand will be between $700$ and $900$ pounds?

c$.$ The probability is $0\mathrm{.}10$ that demand will be more than how many pounds?

Click the icon to view the standard normal table of the cumulative distribution function.

a$.$ The probability that demand will exceed $600$ pounds is

$($Round to four decimal places as needed.$)$