Question: A robot assembles gadgets, one by one. The assembling times T1,T2,T3,..., given in seconds,of the successive gadgets assembled, are independent random variables, with uniform distribution

A robot assembles gadgets, one by one. The assembling times T1,T2,T3,..., given in seconds,of the successive gadgets assembled, are independent random variables, with uniform distribution in [1, 5]. Approximate, usingthe standard normal, the probability that the number of gadgets assembled within 320 secondsis at least 100.

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