1. 17% of mosquitos caught at random in any given field study carry malaria. If you conduct a study and capture 31 mosquitos, how many mosquitos infected with malaria would you expect to have in your mosquito-catching Mason jar out of all 31 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.
2. Suppose at random 41% 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=16. What is the probability that 11 or less, or more than 13 children become sick?