Strands of copper wire from a manufacturer are analyzed for strength and conductivity. The results from 100 strands are as follows: High Strength Low Strength High conductivity Low conductivity 73 14 10 3 a) If a strand is randomly selected, what is the probability that its conductivity is high and its strength is high? Round your answer to two decimal places (e.g. 98.76). b) If a strand is randomly selected, what is the probability that its conductivity is low or the strength is low? Round your answer to two decimal places (e.g. 98.76). 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?

College Algebra
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Chapter8: Sequences, Series,and Probability
Section8.7: Probability
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Strands of copper wire from a manufacturer are analyzed for strength and conductivity. The results from 100 strands are as follows:
High Strength Low Strength
High conductivity
Low conductivity
73
14
10
3
a) If a strand is randomly selected, what is the probability that its conductivity is high and its strength is high? Round your answer to
two decimal places (e.g. 98.76).
b) If a strand is randomly selected, what is the probability that its conductivity is low or the strength is low? Round your answer to two
decimal places (e.g. 98.76).
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?
Transcribed Image Text:Strands of copper wire from a manufacturer are analyzed for strength and conductivity. The results from 100 strands are as follows: High Strength Low Strength High conductivity Low conductivity 73 14 10 3 a) If a strand is randomly selected, what is the probability that its conductivity is high and its strength is high? Round your answer to two decimal places (e.g. 98.76). b) If a strand is randomly selected, what is the probability that its conductivity is low or the strength is low? Round your answer to two decimal places (e.g. 98.76). 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?
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