The life expectancy of a typical lightbulb is normally distributed with a mean of 2,100 hours and a standard deviation of 40 hours. What is the probability that a lightbulb will last between 1,965 and

asked Apr 23, 2018 29.9k views

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$\mathbb P(1965<X<2165)=\mathbb P\left((1965-2100)/(40)<(X-2100)/(40)<(2165-2100)/(40)\right)=\mathbb P(-3.375<Z<1.625)\approx0.9476$

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