An electrochemical engineer has manufactured a new type of fuel cell (a type of battery) which has to undergo testing to prove its duration: the time it takes to go from fully charged to completely uncharged, under a fixed nominal load. From the computational

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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  1. An electrochemical engineer has manufactured a new type of fuel cell (a type of battery)
    which has to undergo testing to prove its duration: the time it takes to go from fully
    charged to completely uncharged, under a fixed nominal load. From the computational simulation models she has, the variance of the duration is σ2 = 4 h2 (hours squared)
    but she wants to estimate the mean duration time μ. To achieve this she is determined
    to do the tests multiple times in independent but identical conditions. Can you find
    what is the smallest number of these tests that she has to do in order for her estimated
    mean duration to be within ±0.2 h tolerance of the true mean with 95% certainty

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