MINI TASK: PROBLEM SOLVING_APPLICATION OF THE NORMAL CURVE CONCEPT. Instruction: Solve the following problems application, show your solutions and sketch the standard normal distribution. Application 1: Ivy gets a score of 85 in a Statistics test and 80 in Basic Calculus test. Scores in the Statistics test have a mean of 75 and standard deviation of 5. Scores in the Basic Calculus test have a mean of 76 and standard deviation of 4. In which subject is her standing better assuming that the scores in the two subjects are normally distributed. Application 2: The mean height of 1,000 students at a certain elementary school is 140cm and the standard deviation is 10cm. Assuming that the heights are normally distributed, how many students stand: a. Between 120 and 145cm? b. More than 150cm? Application 3: For a certain type of portable fridge, the length of time between charges of the battery is normally distributed with a mean of 50 hours and a standard deviation of 35 hours. John owns one of these portable fridges and wants to know the probability that the length of time will be between 50 and 70 hours. Application 4: The length of human pregnancies from contraception to birth approximates a normal distribution with a mean of 260 days and a standard deviation of 16 days. What proportion of all pregnancies will last between 246 and 270 days (roughly between 8 to 9 months)? Application 5: The scores in the midterm test in Statistics of all grade 11 students in a certain school are normally distributed. If the population mean is 50 and the population standard deviation is 8, what is the value of the scores that leaves 20.9% of the area to the left of the