The learners are able to explore the concepts of statistics specifically in solving problems and interpreting values that involve the Areas Under the Normal Curve and Bell Curve. SITUATION: The Department of Education wants to determine the number of hours a student answers his/her module. They want to ensure that the students can answer their task easily by the help of the video tutorials and handouts that are given to the students. As specialists on the said field, they want to determine if there is a progression on the academic performance of the students and if they can pass their tasks on time. Thus, the head of the Department of Education wanted the research team to conduct a study regarding the said concern. As a part of the research team you need to do the task and submit the output on or before February 28, 2022. GIVEN: A study shows in a certain school that the average number of hours a student answers his/her module in a day is 26.8 hours with a standard deviation of 5.57. Assuming that the data are normally distributed, a) What is the number of hours in answering modules of a certain student with a z-score of 1.47? b) Find the probability that the number of hours spent by a student in answering his/her modules is greater than 28 hours. c) Find the probability that the number of hours spent by a student in answering his/her modules is less than 42 hours. d) Find the probability that the number of hours spent by a student in answering his/her modules is between 19 hours and 28 hours. e) If there were 2,780 students in that school, how many students spent between 15 and 41 hours in answering his/her modules