An electrical firm manufactures light bulbs that have a life, before burn-out, that is normally distributed with mean equal to 800 hours and a standard deviation of 40 hours. a. Set up the required equations in order to formulate your solution to the problem.  b. Find the probability that a bulb burns between 778 and 834 hours.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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An electrical firm manufactures light bulbs that have a life, before burn-out, that
is normally distributed with mean equal to 800 hours and a standard deviation of
40 hours.

a. Set up the required equations in order to formulate your solution to the
problem. 
b. Find the probability that a bulb burns between 778 and 834 hours. 

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