The quality of articles manufactured in a certain process is classified as 'poor', 'fair' or 'good'

Question

The quality of articles manufactured in a certain process is classified as 'poor', 'fair' or 'good' on the basis of a measured quantity $Y$ which may be assumed to have a normal distribution with mean $50$ units and standard deviation $5$ units. Articles are 'poor' if $Y < 44$ and the proportion of 'fair' and 'good' are equal. Calculate the boundary value of $Y$ separating 'fair' from 'good'.

Accepted Answer

$50.7$.

Using invNorm function

Using invNorm function