SHOW YOUR WORK on paper OR type in Excel AND Upload your work in Assignment #3 - DROPBOX in Moodle site: TO RECEIVE FULL MARKS in assignment: For each part: show a graph of the normal or standard normal distribution with the appropriate area highlighted under the curve - show the calculated z-score - include an interpretation statement for your answer! To calculate probabilities (or show area) you can EITHER use Table Z (Formula Sheet - Moodle site) OR Excel software OR Online calculator: https://davidmlane.com/hyperstat/z_table.html If Excel or online calculator is used, include a copy of the graph in your work paper. A software company knows that for all job applicants the times to complete a first job interview (in minutes) follows a normal distribution with a mean of 30 (minutes) and a standard deviation of 10 (minutes). (a) What is the probability that an applicant selected at random takes at least 49 minutes to complete the job interview? Number Round your answer to 4 decimal places. (b) What is the probability that for an applicant selected at random it takes between 20 and 47 minutes to complete the interview? Number Round your answer to 4 decimal places. (c) What is the time that marks the slowest 5.48% of all applicants? Number (minutes) Round to 2 decimal places