A study showed that average number of hours children in U.S. watch television each and every day is four hours with standard deviation of 1.6 hours. If a group of 36 children is chosen at random, determine the probability that the average time such children watch television is more than 3.5 hours a day?
A) 0.9409
B) 0.9696
C) 0.9856
D) 0.9938
E) 0.9975
F) none of these