10. Suppose at random 17% 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 exactly 15 children become sick? PLEASE SHOW THE FORMULAS USED TO GET ANSWER

11. 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 35.55 ng/mL with a standard deviation of 5.651 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 likelihood that his/her vitamin D level will be between 33.91 and 43.65 ng/mL? PLEASE SHOW FORMULA USED TO GET ANSWER

12 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 45.23 ng/mL with a standard deviation of 4.97 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 likelihood that his/her vitamin D level will be between 45.03 and 50.61 ng/mL? PLEASE SHOW FORUMULA USED TO GET ANSWER