Question: It has been reported that the average U.S. office worker receives 14 fax messages per day. The daily number of fax massages is normally distributed with a standard deviation of 5.0 messages. For an office in which 10 workers are employed, and considering these persons as a simple random sample of all U.S. office workers, what is the probability that the office will receive at least 160 fax messages (i.e., a sample mean of at least 16 faxes per worker) next Wednesday?