The average daily rate of a hotel in Berlin as of August 2018 was $171.75. Assume the average daily rate follows a normal distribution with a standard deviation of $26.80.

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

- Less than $170

- More than $210

- Between $155 and $195

Determine the average daily rates that separate the:

- top 6% of average daily rates from the rest of the daily rates or from the bottom 94% of average daily rates.

- bottom 15% of average daily rates from the rest of the daily rates.

- middle 65% of average daily rates from the rest of the daily rates.