For question 1 - 3 use the following scenario. A local zoo has on average 250 visitors per day during its peak season with a standard deviation of 80. Assume that the variable is normally distributed. 1. Find the probability that the zoo will have less than 100 visitors. 2. Find the probability that the zoo will have more than 300 visitors. 3. Find the probability that the zoo will have between 170 and 320 visitors. 4. To be considered as a menu item for Gloria's new restaurant an item must have scored in the top 15% by the food critics in the area. The average item's score is 7 with a standard deviation of 2. Assuming that the variable is normally distributed, find the lowest score possible for a menu item to still be considered. 5. The average number of absences for a high school senior is 5 days per school year with a standard deviation of 3. Any student whose absences who fall in the upper 10% may be at risk for failure due to absences. How many absences must a senior have to be at risk for failure due to absences? Assume that the distribution is normal and round your answer to the day. 6. The faculty at a particular school have attended up to an average 4 years of college with a standard deviation of 2 years. Faculty members who are in the lower 10% of the distribution will be offered the opportunity to obtain additional training. A faculty member must have attended less than ___________ years of school to qualify for the training. Round your answer to the year. 7. For a medical study, a researcher will select participants from the middle 30% of the distribution based on hours of sleep per night. If the average number of hours of sleep per night is 6 and the standard deviation is .5 hours, then between which two amounts of hours of sleep will a participant have to get to participate in the study? Round your answers to the nearest tenth.