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?
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
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