Answer:
a) 23.76%
b) 7.8%
Step-by-step explanation:
a) probability that a failure is due to loose keys.
loose key failure (27%) comes under mechanical failure(88%)
hence, probability that a failure is due to loose keys= 0.27×0.88= 0.2376= 23.76%
b) probability that a failure is due to improperly connected wire which comes under electrical failure = 0.12×0.13
probability that a failure is due to poorly welded wires which comes under electrical failure= 0.52×0.12
now, the probability that a failure is due to improperly connected or poorly welded wires. = 0.12(0.52+0.13)= 0.078= 7.8%
Answer:
Probability that a failure is due to loose keys = 0.2376
Probability that a failure is due to improperly connected or poorly welded wires 0.078
Step-by-step explanation:
Given data:
P(A) = percentage of faulty electrical connections is 12% = 0.12
P(B) = mechanical defects is 88% = 0.88
P(C / B ) = percentage of defects that are related to loose keys is 27% = 0.27
P( D/B ) = improper assembly is 73% = 0.73
P(E/A) = defective wires is 35% = 0.35
P( F/A)= improper connections is 13% = 0.13
P( G/A ) = percentage of poorly welded wire is 52% = 0.52
a) Probability of being failure because of loose keys = 0.27\times 0.88 = 0.2376
b) Improperly connected = 0.13\times 0.12 = 0.0156
poorly welded wires= 0.52 \times 0.12 = 0.0624
Probability of being failure because of improperly connected or poorly welded wires = 0.0156 + 0.0624 = 0.078
