Keyboard failures are due to faulty electrical connections(12%) or mechanical de

Question

Keyboard failures are due to faulty electrical connections(12%) or mechanical defects (88%). Mechanical defects are dueto loose keys (27%) or improper assembly (73%). Electricalconnections are due to defective wires (35%), improper connections(13%), or poorly welded wires (52%). a) Find the probability that the failure is due to loosekeys. b) Find the probability that the failure is due to improperconnections or poorly welded wires. Keyboard failures are due to faulty electrical connections(12%) or mechanical defects (88%). Mechanical defects are dueto loose keys (27%) or improper assembly (73%). Electricalconnections are due to defective wires (35%), improper connections(13%), or poorly welded wires (52%). a) Find the probability that the failure is due to loosekeys. b) Find the probability that the failure is due to improperconnections or poorly welded wires.

Explanation / Answer

a. Just multiply the probabilities... (0.88)(0.27) = 0.2376 =23.76 % b. Same thing, but you have to add the improper connection andpoor welding... (0.12)(0.13 + 0.52) = 0.078 = 7.8 %

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