1.) 4% of mosquitos caught at random in any given field study carry malaria. If you conduct a study and capture 86 mosquitos, how many mosquitos infected with malaria would you expect to have in your mosquito-catching Mason jar out of all 86 mosquitos buzzing around? Round up to the nearest whole number if your calculation results in a number with decimal point values. For example, 0.2 rounds up to 1 and 74.25 rounds up to 75. Please provided step by step for problem
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 50.39 ng/mL with a standard deviation of 4.973 ng/mL. Assuming the true distribution of blood vitamin D levels follows a normal distribution, what is the upper value of the region for which approximately 95% of the data are located within the distribution? Please provided step by step for problem
3.) Suppose at random 36% 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=50. What is the probability that between 48 or more and less than 50 children become sick? Please provided step by step for problem