Question 1203069
using the calculator at <a href = "https://davidmlane.com/hyperstat/z_table.html" target "_blank">https://davidmlane.com/hyperstat/z_table.html</a>, i get the following.


a. What is the probability that X is less than 49?
P(X <49) = .0062


b. What is the probability that X is between 49 and 51.5?
P(49 < X < 51.5) = .7278


c. What is the probability that X is above 51.5?
P(X > 51.5) = .2660


(Type an integer or decimal rounded to four decimal places as needed.)
d. There is a 35% chance that X is above what value?
X = 51.3082


here's what the results look like on a graph.


<img src = "http://theo.x10hosting.com/2023/071801.jpg">


<img src = "http://theo.x10hosting.com/2023/071802.jpg">


<img src = "http://theo.x10hosting.com/2023/071803.jpg">


<img src = "http://theo.x10hosting.com/2023/071804.jpg">