Wires from a manufacturer are analyzed for conductivity and strength. the result

Question

Wires from a manufacturer are analyzed for conductivity and strength. the results from 110 wires are as follows: If a win; is randomly selected, what is the probability that its conductivity is low and its strength is high? If a wire is randomly selected, what is the probability that its conductivity is low or strength is low? 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? Consider the case where two wires are selected without replacement. What is the sample space for this experiment? in the case (d), what is the probability of the outcome (HCl, HSl, HC2, HS2)? in the case (d), what is the probability that the second wire has low conductivity and low strength given that the first w ire has high conductivity and low strength.

Explanation / Answer

a)

a) probabilty =23/110=0.209

b)probabilit =(25+13+17)/110= 0.5

c)No ; as there are events where wire has both the properties

d)there are total 16 events in sample space

e)probability =(55/110)*(54/109) =0.2477

f)as there remains 13 wires of LC and LS out of 109

hence probability =13/109

HS LS total HC 55 17 72 LC 25 13 38 Total 80 30 110

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