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Light bulbs are installed into a socket. Assume that each has a mean life of 2...

Light bulbs are installed into a socket. Assume that each has a mean life of 2 months with standard deviation of 0.25 month. How many bulbs n should be bought so that one can be 95% sure that the supply of n bulbs will last 5 years?

PS: Please i need a more detailed explanation on the answer, the first answer i got was not clear enough and a lot of sign errors were involved which created confusion.

Math   Statistics-And-Probability   
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