A certain hafid in Country A is facing budget cuts which may affect the funding of pre school programs. Before making their recommendations, administrators of the district decided to take a random sample of 80 seventh graders and compare the pre algebra achievement levels of those who attended pre-school and those who did not At 5% significance level, determine if there is an association between attending pre- school and pre-algebra achievement. Below grade level At grade level Advanced Pre-school ER No Pre-school (10 marks) B. Based on the contingency table above: i) What is the probability that a student selected at random is below grade level in a pre-school? (2 marks) ) A student selected at random has not attended pre-school, what is the probability that the student's pre-algebra achievement levels are at an advanced stage? (2 marks) Are the events no pre-school and at grade level independent? Explain. (3 marks) If three students were randomly chosen, what is the probability that all three have not attended pre-school and are below grade level