According to a sample of 442 American adults, the time spent watching television per day can be modeled using the normal distribution with a mean of 6.1 hours and a standard deviation of 1.2 hours.
(a) If you randomly sample one American adult, what is the probability that he or she watches more than 8.4 hours of television per day? ________ (Use 4 decimals.)
(b) If you select a random sample of 442 American adults, what is the probability that the average time spent watching television is less than 6.2 hours per day? _______ (Use 4 decimals.)
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