5. (Normal Distribution). The Quality Control Department of a certain factory discovered that the lifespan of a light bu
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5. (Normal Distribution). The Quality Control Department of a certain factory discovered that the lifespan of a light bu
question are well approximated by the corresponding probabilities Pa<LC) related to a random variable ! N.) having a normal distribution with parameters and o. A similar clause applies to the formulation of the next problem
5. (Normal Distribution). The Quality Control Department of a certain factory discovered that the lifespan of a light bulb produced by the factory has a normal distribution with u = 2000 hours and o 100 hours! What is the probability that a bulb will last: (i) between 2000 and 2500 hours? (i) less than 1850 hours? Please give a complete solution to the problem. 1 As was discussed during the lectures on similar occasions, this in fact means that the probabilities Pla<LC) related to the random variable, say L in