2. A man is pulling a crate on a frictionless slant. If the weight of the crate follows a normal distribution m ~ N(90, 1²) kg. (1) Determine the distribution of the minimum force T for the man to pull the crate. (2) If the man has a weight of 85kg and the static friction between him and the floor follows another normal distribution µ_s ~ N(0.55,0.01²), which is independent from m, determine the probability that man may fail to pull the crate if he uses the minimum force T.

Answer: (1)

                (2)