Weekly wages at a certain factory arenormally distributed with a mean of$400 and a standard deviation of $50.Find the probability that a workerselected at random makes between$250 and $300.

My account
Edit my Profile
Private messages
My favorites

Ask a Question
Questions
Tags
Categories
Ask a Question

Vtrubnikov asked Nov 23, 2023

183,179 views

12 votes

Weekly wages at a certain factory arenormally distributed with a mean of$400 and a standard deviation of $50.Find the probability that a workerselected at random makes between$250 and $300.

Mathematics
college

Vtrubnikov asked Nov 23, 2023

by Vtrubnikov

3.2k points

0 Comments

Your comment on this question:

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Your answer

Email me at this address if my answer is selected or commented on:Email me if my answer is selected or commented on

Privacy: Your email address will only be used for sending these notifications.

1 Answer

24 votes

$\begin{gathered} \text{Normal distribution} \\ \operatorname{mean}\text{ }\mu=400 \\ \text{standard deviation }\sigma=50 \\ In\text{ order to find the probability, we must use the Z-score:} \end{gathered}$ [tex]\begin{gathered} P(250