The weights of certain machine components are normally distributed with a mean of 8.04 g and a standard deviation of 0.08 g. Find the two weights that separate the top 3% and the bottom 3%. (These weights could serve as limits used to identify which components should be rejected)

The bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.

Step-by-step explanation:

We are given that

Mean,

Standard deviation,

We have to find the two weights that separate the top 3% and the bottom 3%.

Let x be the weight of  machine components

=0.03

From z- table we get

Therefore, we get

Hence, the bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.

idk wbu

step-by-step explanation: