3. A force P which follows a normal distribution P ~ N(2.2, 0.015²) lb is applied to the spool as shown below. Determine the probability that the spool will slide if the weight of the spool follows another independent normal distribution W ~ N(1.5, 0.025²) lb and the static friction between the ground and the spool is μ_s=0.4.

Answer: the probability that the spool will slide is 0.9113.