Strands of copper wire from a manufacturer are ana- lyzed for strength and conductivity. The results from 100 strands are as follows: strength high low high conductivity 74 8 low conductivity 15 3

(a) If a strand is randomly selected, what is the probability that its conductivity is high and its strength is high?

(b) If a strand is randomly selected, what is the probability that its conductivity is low or the strength is low?

(c) Consider the event that a strand has low conductivity and the event that the strand has a low strength. Are these two events mutually exclusive?