Question

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$300 and $350.

Answer 1

We have the following:

we must calculate the value of z within that interval as follows

$\frac{x_1-m}{sd}where x1 is 300 and x2 is 350

m is the mean 400

sd is the standar deviation 50

replacing:

[tex]\begin{gathered} \frac{300-400}{50}now, with the normal distribution table, we calculate the probability

the probability then would be

[tex]0.15866-0.02275=0.13591$

So, the probability is 13.59%