6. The weight of the crate follows a normal distribution and the crate is hoisted using ropes AB and AC. Each rope can withstand a maximum tension before it breaks. If AB always remains horizontal and is , determine the probability that rope AB and AC will break. Note all the forces , , , and are independently distributed.

Solution

The probability of the break of rope AC is 0.027 and the probability of the break of rope AB is 0.016.