A new program implemented at the Houston College rewards outstanding teachers with the title Distinguished Educator and a $1,000 bonus. To receive this designation a teacher must rank in the top 10% of faculty in schools that are members of the Colleges Committed to Excellence in Education. The teaching evaluation scores for all faculty in the CCEE consortium for this past year had an average of 73 with a standard deviation of 7.2. Additionally, these teaching evaluation scores will be used to identify and weed out very poor educators. The bottom 5% of teachers will be dismissed from their jobs. Answer the following questions based on this information.What percentile is an evaluation score of 87?What percentile is an evaluation score of 71?What is the minimum evaluation score needed to qualify for the Distinguished Education designation?What is the evaluation score below which teachers will be dismissed?