# calculus

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factory worker wages, according to data released by city chamber of commerce, the weekly wages of factory workers are normally distributed according to the probability density function

f(x)= (1/50√2π)e^((-1/2)((x-500)/50)^2)

find the probability that a worker selected at random from the city has a weekly wage of 450-550

• calculus -

From f(x) you see that 500 is the mean and 50 the standard deviation.

You can write the interval 450-550 as:

500 +/- 50 = mean +/- standard deviation

So, what's the probability a normally distributed variable to be within one standard deviation of the mean?

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