X has a normal distribution with the given mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)
μ = 53, σ = 10, find
P(38 ≤ X ≤ 73)

Question

X has a normal distribution with the given mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)
μ = 53, σ = 10, find 
P(38 ≤ X ≤ 73)

anonymous · Answer

Are you doing this with tables?

anonymous · Answer

yes

anonymous · Answer

How do you find a "Z-score?"

anonymous · Answer

You may also call them "Standard scores"

anonymous · Answer

$$Z=\frac{x-\mu}{\sigma}$$

These are the things you use to find probabilities on your tables.

What's the z-score of the limits you are looking for?

anonymous · Answer

Well, to get your answer, calculate the Z scores of your limits, and look up their probabilities on a table.

The probability to fall between the two limits is:

P(Z=Upper Z Score) - P(Z=Lower Z Score)