Question 1203660
somehow i believe the distribution tool is missing.
without that, all i can do is tell you the area to the left and the right of each z-score.


area to the left of z-score of 2.00 = .9772
area to the right of that z-score = 1 minus that = .0228


area to the left of z-score of .5 = .6915
area to the right of that z-score = 1 minus that = .3085


area to the left of z-score of -1.5 = .0668
area to the right of that z-score = 1 minus that = .9332


area to the left of z-score of -1.67 = .0475
area to the right of that z-score = 1 minus that = .9525


area to the left is the probability of getting a z-score less than that.
area to the right is the probability of getting a z-score more than that.


here's what they look like on a graph.


<img src = "http://theo.x10hosting.com/2023/091601.jpg">


<img src = "http://theo.x10hosting.com/2023/091605.jpg">


<img src = "http://theo.x10hosting.com/2023/091603.jpg">


<img src = "http://theo.x10hosting.com/2023/091604.jpg">


the graphs show the area to the left of the z-score.
your line would be where the black on the graph meets the white.