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On the planet of Mercury, 4-year-olds average 3 hours a day unsupervised. Most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.4 hours and the amount of time spent alone is normally distributed. We randomly survey one Mercurian 4-year-old living in a rural area. We are interested in the amount of time X 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 X? X - N(3 1.4 or or b. Find the probability that the child spends less than 1.7 hours per day unsupervised. c. What percent of the children spend over 2.1 hours per day unsupervised. decimal places) d. 77% of all children spend at least how many hours per day unsupervised? % (Round to 2 hours.

On the planet of Mercury, 4-year-olds average 3 hours a day unsupervised. Most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.4 hours and the amount of time spent alone is normally distributed. We randomly survey one Mercurian 4-year-old living in a rural area. We are interested in the amount of time X 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 X? X - N(3 1.4 or or b. Find the probability that the child spends less than 1.7 hours per day unsupervised. c. What percent of the children spend over 2.1 hours per day unsupervised. decimal places) d. 77% of all children spend at least how many hours per day unsupervised? % (Round to 2 hours.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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On the planet of Mercury, 4-year-olds average 3 hours a day unsupervised. Most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.4 hours and the amount of time spent alone is normally distributed. We randomly survey one Mercurian 4-year-old living in a rural area. We are interested in the amount of time X 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 X? X ~ N( 3 1.4 b. Find the probability that the child spends less than 1.7 hours per day unsupervised. c. What percent of the children spend over 2.1 hours per day unsupervised. decimal places) d. 77% of all children spend at least how many hours per day unsupervised? % (Round to 2 hours.
Transcribed Image Text:On the planet of Mercury, 4-year-olds average 3 hours a day unsupervised. Most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.4 hours and the amount of time spent alone is normally distributed. We randomly survey one Mercurian 4-year-old living in a rural area. We are interested in the amount of time X 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 X? X ~ N( 3 1.4 b. Find the probability that the child spends less than 1.7 hours per day unsupervised. c. What percent of the children spend over 2.1 hours per day unsupervised. decimal places) d. 77% of all children spend at least how many hours per day unsupervised? % (Round to 2 hours.
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