A machine to detect improper welds in a fabricating shop detects 80 percent of allimproper welds, but it also incorrectly indicates an improper weld on 5 percent of allsatisfactory welds. Past experience indicates that 10 percent of all welds are improper.(a) What is the probability that a weld that the machine indicates to be defective is infact satisfactory?(b) What is the probability that a weld which the machine indicates to be satisfactoryis in fact defective?(c) Compare the probabilities in (a) and (b) and comment on their relativemagnitudes.