Please solve.

The average daily rate of a hotel in Canada as of August 2018 was $186.65. Assume the average daily rate follows a normal distribution with a standard deviation of $29.60. 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 z: 165) 2 {ii} more than $200 P(X :2 200) 2 [iii] Between $150 and $185 P(150 z: X z: 185) = [1. Determine the average daily rates that separate the: [i] top 3% of average daily rates from the rest of the daily rates or from the bottom 97% of average daily rates 3:: RdLmd to 2 decimal place; [ii] bottom 20% of average daily rates from the rest of the daily rates a: : Rednd to 2 decimal places. [iii] middle ?0% of average daily rates from the rest of the daily rates {334: Round to 2 decimal places