Suppose the nightly rate for a hotel in Rome is thought to be bell-shaped and symmetrical with a mean of 138 euros and a standard deviation of 6 euros. The percentage of hotels with rates between 120 and 144 euros is

The percentage of hotels with rates between 120 and 144 euros is 84%.

Step-by-step explanation:

We know that the distribution of the nightly rate for a hotel in Rome is bell shaped with a mean of 138 euros and a standard deviation of 6 euros.

We want to know the proportion of hotels between 120 and 144 euros.

We can approximate the distribution to a normal distribution and calculate the z-score for both boundaries:

Then, we can calculate the proportion as the probability of having rates between 120 and 144:

Then, we can conclude that the percentage of hotels with rates between 120 and 144 euros is 84%.

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1. 3. can also be expressed as (22/7)

2. -4.5

3. 3.6

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