Suppose 4-year-olds in a certain country average 3 hours a day unsupervised and that most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.8 hours and the amount of time spent alone is normally distributed. We randomly survey one 4-year-old living in a rural area. We are interested in the amount of time the child spends alone per day. Part (a) In words, define the random variable X.

A) the number of 4-year-old children that live in rural areas

B) the time (in hours) a child spends unsupervised per day

C)the number of people that live in rural areas

D)the time (in hours) a 4-year-old spends unsupervised per day

E)the time (in hours) a 4-year-old spends unsupervised per week

Part I: Give the distribution of X.

X ~ (,)

Part II:

Find the probability that the child spends less than 1 hour per day unsupervised.

Write the probability statement.

P

What is the probability? (Round your answer to four decimal places.)

Sketch the grap
Part III

What percent of the children spend over 10 hours per day unsupervised? (Round your answer to four decimal places.) %

Part IV

70% of the children spend at least how long per day unsupervised? (Round your answer to two decimal places.) hours