Find the indicated probability using the standard normal distribution: P(z<-1.45)
Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability related to the Z score.
Do I have to subtract that number from 1? That's really the part I can't remember...there's some time when you leave it alone and another when you subtract from 1...?
Look up the Z score on that table. You are looking for probability of Z score less than (<) -1.45.
You could also try:
http://davidmlane.com/hyperstat/z_table.html
To find the indicated probability using the standard normal distribution, you can use a standard normal distribution table or a calculator that provides the cumulative distribution function (CDF) for the standard normal distribution.
Here's how you can find the probability P(z < -1.45) using a standard normal distribution table:
1. Look up the z-score -1.45 in the standard normal distribution table. The table provides the area to the left of the given z-score.
- The closest value in the table to -1.45 is -1.4, and the corresponding area is 0.0808.
- We need to adjust this value slightly to get the correct probability.
2. Since the z-table only provides the left-tail probability, we need to subtract the area to the right of -1.45 from 1 to get the desired probability.
- The area to the right of -1.45 is 1 - 0.0808 = 0.9192.
Therefore, P(z < -1.45) ≈ 0.9192.
Note: If you are using a calculator with a CDF function, you can directly input -1.45 as the z-score and get the corresponding probability without the need for adjustment.