Hi I need to check my work for the 2 questions below 14, At random 35% of school children develop nausea and vomiting following holiday parties and

Hi I need to check my work for the 2 questions below
14, 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=11. What is the probability that