In New York City the average hotel room costs $204 per night, with a standard deviation of $55. Suppose that you walk into a random hotel and learn their rate is $155 per night. If the rates are normally distributed, what is the probability that if you leave and walk into another random hotel, they will have a lower rate

The value is  

Step-by-step explanation:

From the question we are told that

    The mean is  

     The standard deviation is  

Generally the probability that another hotel will a rate lower than $155 per night is mathematically represented as

=>    

From the z-table  the area under the normal curve corresponding to  -0.8909, towards the  left  is  

=>    

d

step-by-step explanation:

the solution is in the picture

x -

median = 1.25

range = 12-14.5

interquartile = q12-q14.5

y -

median = 1

range = 15-17

interquartile = q15-q17