On the planet of Mercury, 4-year-olds average 3 hours a dayunsupervised. Most of the unsupervised children live in ruralareas, considered safe. Suppose that the standard deviation is 1.4hours 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 aloneper day. (Source: San Jose Mercury News) Round all answers to 4decimal places where possible.
a. What is the distribution of X? X ~ N(,)Â Â
b. Find the probability that the child spends less than 3.1 hoursper day unsupervised. Â
c. What percent of the children spend over 2.2 hours per dayunsupervised. % (Round to 2 decimal places)
d. 84% of all children spend at least how many hours per dayunsupervised?  hours.
