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.

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Leek asked Nov 27, 2023

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19 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$300 and $350.

Mathematics
college

Leek asked Nov 27, 2023

by Leek

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1 Answer

16 votes

We have the following:

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

$(x_1-m)/(sd)where x1 is 300 and x2 is 350m is the mean 400sd is the standar deviation 50replacing:[tex]\begin{gathered} (300-400)/(50)now, with the normal distribution table, we calculate the probabilitythe probability then would be[tex]0.15866-0.02275=0.13591$

So, the probability is 13.59%