Question 1201061
the probabiliy of heights between 170 and 180 tall is equal to .4772499375.
the probability of heights above 177 is equal to .0807567112.


out of 90 people, .4772499375 * 90 = 43 who are expected to be between 170 and 180 cm tall.


out of 90 people, .0807567112 * 90 = 7 who are expected to be taller than 177 cm.


here are the probabilities using the calculator at <a href = "https://davidmlane.com/hyperstat/z_table.html" target = "_blank">https://davidmlane.com/hyperstat/z_table.html</a>


<img src = "http://theo.x10hosting.com/2023/040705.jpg">


<img src = "http://theo.x10hosting.com/2023/040706.jpg">


i used the ti-84 plus, which gives you the answer to more decimal places.