A manufacturing plant uses 3000 electric light bulbs whose life spans are normally distributed, with mean and standard deviation equal to 500 and 50 hours, respectively. 1. 2. 3. 4. How many bulbs in this manufacturing plant will last at most 600 hours? How many light bulbs in this manufacturing plant will last for more than 600 hours? What is the probability that a randomly selected bulb in this manufacturing plant will last from 457 to 598? After how many hours should the light bulbs be replaced the manufacturing supervisor wishes no more than 20% of the bulbs to burn out between replacement periods?

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