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Translate between a sample mean and a total

The mean time spent by 12-year-old children watching television in one day is 3.5 hours, with standard deviation 0.7 hours.

(i) For a random sample of 100 children, find the probability that the mean watching time is between 3.4 and 3.7 hours.

(ii) Find the probability that their total Sunday watching time exceeds 365 hours.

CJC · Discussion · Question 7

For a total, multiply the variance by 100; for a mean, divide it by 100.

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