50. An insurance office buys paper by the ream (500 sheets) for use in the copier, fax, and printer. Each ream lasts an average of four days, with standard deviation one day. The distribution is normal, independent of previous reams. a. Find the probability that the next ream outlasts the present one by more than two days. b. How many reams must be purchased if they are to last at least 60 days with probability at least .80?

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50. An insurance office buys paper by the ream (500 sheets) for use in the copier, fax, and printer. Each ream lasts an average of four
days, with standard deviation one day. The distribution is normal, independent of previous reams.
a. Find the probability that the next ream outlasts the present one by more than two days.
b. How many reams must be purchased if they are to last at least 60 days with probability at least .80?
Transcribed Image Text:50. An insurance office buys paper by the ream (500 sheets) for use in the copier, fax, and printer. Each ream lasts an average of four days, with standard deviation one day. The distribution is normal, independent of previous reams. a. Find the probability that the next ream outlasts the present one by more than two days. b. How many reams must be purchased if they are to last at least 60 days with probability at least .80?
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