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[In the planet of Mercury, 4-year-olds average 2.8 hours a dayr unsupervised. Most of the unsupervised children live in rural areas, considered safe. Suppose that

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[In the planet of Mercury, 4-year-olds average 2.8 hours a dayr unsupervised. Most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.6 hours and the amount of time spent alone is normally.r distributed. We randomly:r survey one Mercurian 4year-old living in a rural area. We are interested in the amount of time it the child spends alone per day. (Source: San Jose Mercury News} Round all answers to 4 decimal places where possible. a. What is the distribution of K? K -- Ni:',:'] b. Find the probabilityr that the child spends less than 2.1 hours per day unsupervised. :1 c. What percent of the children spend over 2.1 hours per day unsupervised. :196 {Round to 2 decimal places] d. 90% of all children spend at least how man}.r hours per day.r unsupervised? :l hours

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