9.
The weight of the crate follows a normal distribution , and the crate is hoisted using ropes AB and AC with a constant
speed. AB always remains horizontal,
and is . If the strength (maximum tension) of the ropes also follows
a normal distribution and S is independent of W, determine the probability that rope AB and AC will break,
respectively.
Solution: The
probability of the break of rope AC
is 0.259 and the probability of the break of rope AB is 0.097.