Question 1. Suppose at random 35% of school children develop nausea and vomiting following holiday parties and that you conduct a study to examine this phenomenon, with a sample size of n=19. What is the probability that between more than 17 and less than 19 children become sick?
Question 2. A research study examined the blood vitamin D levels of the entire US population of landscape gardeners. The population average level of vitamin D in US landscapers was found to be 44.07 ng/mL with a standard deviation of 5.223 ng/mL. Assuming the true distribution of blood vitamin D levels follows a Gaussian distribution, if you randomly select a landscaper in the US, what is the probability that his/her vitamin D level will be 39.51 ng/mL or less?