Recreational activities ease the everyday stresses of life and are essential for your mental health. On average, STAT1250 students spend 20.01 hours per week attending recreational activities, with a standard deviation of 4.29 hours. Assuming the number of hours attending recreational activities 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 22.88 hours per week in recreational activities? (3dp) 2. (1 mark) spends less than 19.09 hours per week in recreational activities? (3dp) 3. (2 mark) spends between 19.09 and 22.88 hours per week in recreational activities? (3dp) 4. (1 mark) find the number of hours s/he must spend in recreational activities to be on the 17.1th percentile of the distribution (2dp) Copyright Macquarie University. Copying or distribution of part or all of the contents in any form is prohibited