One year consumers spent an average of $22 on a meal at a resturant. Assume that the amount spent on a resturant meal is normally distributed and that the standard deviation is $3. Complete parts (a) through (c) below.

a. What is the probability that a randomly selected person spent more than $23?

P(X>$23)=

(Round to four decimal places as needed.)

b. What is the probability that a randomly selected person spent between $ and $?

P($15

(Round to four decimal places as needed.)

c. Between what two values will the middle 95% of the amounts of cash spent fall?

The middle 95% of the amounts of cash spent will fall between X=$ and X=$.

(Round to the nearest cent as needed.)