\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Suppose \(X\) represents the weight (in kilograms) of backpacks carried by students, and it follows a normal distribution with a mean of 8 kg and a standard deviation of 1.5 kg. The school sets a minimum weight limit for a strength training program such that 95\(\pourcent\) of students carry at least this weight. Using a
, find this weight (i.e., the 5th percentile, since it’s the lower tail). Round your answer to one decimal place.
\(x \approx\)