New York City is known for it's tourist attractions and high priced real estate. The mean hotel room rate is $202 per night. Assume that the room rates are normally distributed with a standard deviation of $70.What is the probability that a hotel room costs between $210 and $290?

And we can find this probability with this difference

And we can find the difference with the normal standard distirbution or excel:

Step-by-step explanation:

Let X the random variable that represent the hotel room cost of a population, and for this case we know the distribution for X is given by:

Where and

We are interested on this probability

The z score formula is given by:

Using the formula we got:

And we can find this probability with this difference

And we can find the difference with the normal standard distirbution or excel:

it's

the correct answer is d

hope this