Question

The average daily rate of a hotel in Canada as of August 2018 was $184.85. Assume the average daily rate follows a normal distribution with a standard deviation of $27.70.

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 $160 and $190
P(160 < X < 190)=P(160 < X < 190)=

b. Determine the average daily rates that separate the:

(i) top 6% of average daily rates from the rest of the daily rates or from the bottom 94% of average daily rates
x=x=

Round to 2 decimal places.

(ii) bottom 15% of average daily rates from the rest of the daily rates
x=x=

Round to 2 decimal places.

(iii) middle 70% of average daily rates from the rest of the daily rates

  < x <  < x <  

Round to 2 decimal places.

Answer 1

Values may varie due to decimal places.

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