I need solve this assignment

( l) (15 Marks) Wires from a manufacture are analyzed for conductivity and strength. The results from 100 wires are as follows: Strength High (HS) Low (LS) High Conductivity (HC) 60 18 Low Conductivity (LC) 10 12 (a) If a wire is randomly selected, what is the probability that its conductivity is low and its strength is high? (b) If a wire is randomly selected, what is the probability that its conductivity is low or strength is low? (0) Consider the event that a wire has a high conductivity and the event that the wire has a high strength. Are these two events mutually exclusive? (d) Consider the case where two wires are selected without replacement. What is the sample space for this experiment? (Hint, for instant one outcome can be as (HCl,HSl,LC2,L-S2) which implies that the rst wire has HC and HS and the second wire has LC and LS. (e) In the case (d), what is the probability of the outcome (HCl,HSl,HC2,H82)? (f) In the case (d), what is the probability that the second wire has low conductivity and low strength given that the rst wire has high conductivity and low strength