dish:
It takes an average of 40 seconds to download a certain file, with a standard deviation of 5 seconds. The actual distribution of the download time is unknown. Using Chebyshev’s inequality, what can be said about the probability of spending more than 1 minute for this download?
Vocaloid:
Chebyshev's inequality states that 1 - (1/k^2) of the data in a given set must fall within (k) standard deviations of the mean. In our case, the mean is 40, and the standard deviation is 5. Considering 1 minute (60 seconds), calculate how many standard deviations this is away from 40 seconds. Let that be your k-value. Plug that k into the formula to figure out what % of the downloads are below 1 minute. Finally, since it's asking for the probability that the download will take more than 1 minute, calculate 1 - (the probability of being less than 1 minute).
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