5) Suppose you operate a catering business and are hosting an event in which 200 adults will attend. The main course will be fish. From prior experience, you know that among non-vegetarians, on average, guests will consume 80 grams of fish with a standard deviation of 20 grams and that vegetarians will eat no fish. Also from experience, you know that 20% of guests are vegetarians. How many grams of fish should you prepare to ensure that you will meet demand with a probability of at least 95%? (4 points) 6) The British Medical Journal (Aug. 17, 2002) published the results of a study to compare the effectiveness of handwashing with soap and hand-rubbing with alcohol. Health care workers who used hand rubbing had a mean bacterial count of 35 per hand with a standard deviation of 59. Health care workers who used handwashing had a mean bacterial count of 69 per hand with a standard deviation of 106. In a random sample of 50 health care workers, all using the same method of cleaning their hands, the mean bacterial count per hand, , is less than 30. Compute the probabilities that the workers were using soap and alcohol, respectively. In your judgment were this sample of workers hand-rubbing with alcohol or handwashing with soap? Briefly explain. (6 points- 2 for each P calculation (z score convert and correct P) and 2 for interpretation of answer)