1. Two production plants A and B make wire cable that are sent to a common distributor.

1.       Two production plants A and B make wire cable that are sent to a common distributor.40%  of the cables sent to the distributor com from plant A and the remaining 60% come from plant B . Among  the cable produced a plant A 95% meet strength specification among the cable produced at plant B, 98% meet the strength specification. What percentage of all cables that arrive at the distributor do not meet the strength specification?

2.       Two production plants A and B make wire cable that are sent to a common distributor.40%  of the cables sent to the distributor com from plant A and the remaining 60% come from plant B . Among  the cable produced a plant A 95% meet strength specification among the cable produced at plant B, 98% meet the strength specification. The distributor select one cable at random from among all the cables in stock. If the cable selected is found to meet the strength specification. What is the probability that the cable was produced at plant A

3.       Two production plants A and B make wire cable that are sent to a common distributor.40%  of the cables sent to the distributor com from plant A and the remaining 60% come from plant B . Among  the cable produced a plant A 95% meet strength specification among the cable produced at plant B, 98% meet the strength specification. The distributor select one cable at random from among all the cables in stock. Using a table  or tree diagram determine that the cable was produced by plant B and did not meet strength