The average daily rate of a hotel in Canada as of August 2018 was $172.85.

Assume the average daily rate follows a normal distribution with a standard deviation of $26.50.

Standard Normal Distribution Table

a. What is the probability that the average daily rate of a Canadian hotel will be:

(i) less than $165 P(X < 165)=

P ( X < 165 ) =

(ii) more than $215 P(X > 215)=

P ( X > 215 ) =

(iii) Between $150 and $190

P(150 < X < 190)=

b. Determine the average daily rates that separate the: (i) top 4% of average daily rates from the rest of the daily rates or from the bottom 96% of average daily rates x= x = Round to 2 decimal places.

(ii) bottom 10% of average daily rates from the rest of the daily rates x= x = Round to 2 decimal places.

(iii) middle 60% of average daily rates from the rest of the daily rates < x < < x < Round to 2 decimal places.