Question 5: Suppose the breaking strengs of a particular type of 3mm wire rope follows a normal distribution with mean p = S lb: (pound of force) and standard deviation {1' = 182 lbf. a) What is the probability,r that the breaking strength of a randome selected wire rope of this type exceeds 9WD Ibf? [4 pts] b) What is the probability that the breaking strength of a randomly selected wire rope of this type is between 3000' of and 3590 liar? [5 pts] e) What is the breaking strength that separates the higlest 10% of all breaking strengths for this type of wire rope {item the lowest 90%? i.e., Find the 9D\" percentile. [4 pts] d} Consider a random sample of 6 pieees of this type of rope. How likely is it that the sample mean breaking strength is less than 8150 1-5;? [5 pts]