Paid employment enhances your employability and helps develop a range of transferable skills that will be useful once you graduate. On average, STAT1250 students spend 15.77 hours per week working on a paid job, with a standard deviation of 3.98 hours. Assuming the number of hours for these paid jobs follows a normal distribution, find the following probabilities. One student is chosen at random, and what is the probability that the selected student 1. (2 mark) spends more than 20.44 hours per week on paid jobs? (3dp) 2. (1 mark) spends less than 11.08 hours per week on paid jobs? (Sdp) 3. (2 mark) spends between 11.08 and 20.44 hours per week on paid jobs? (3dp) 4. (1 mark) find the number of hours slhe must spend on paid jobs to be on the 47.1th percentile of the distribution (de)