Problem:The weights of the Grade 11 students of are known to be normally distributed with a mean of 50 kg and a standard deviation of 9 kg.1. Find the percentage of Grade 11 students with weights between 45 kg and 65 kg.2. Find the 85th percentile for the weight of Grade 11 students known to benormally distributed with a mean of 50 kg and a standard deviation of 9 kg. Sample solution for no. 2 is shown below

2. Given: (1=54 kg, 0=8 kg, x1=45 kg, x2=66 kg Find: 60th percentile Solution: Area to the left of z-scores = 0.6000=0.5987 2=0.25 Thus, the 60th percentile is z = 0.25