A machine to detect improper welds in a fabricating shop detects 80 percent of all improper welds, but it also incorrectly indicates an improper weld on 5 percent of all satisfactory 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 in fact satisfactory? Major Topic Probability Theory Blooms Designation AP Score 6 b)What is the probability that a weld which the machine indicates to be satisfactory is in fact defective? Major Topic Probability Theory Blooms Designation AN Score 7 c) I divide my email into three categories: and . From previous experience I find that , and . let be the event that the email contains the word . From previous experience, , . I receive an email with the word "free". What is the probability that it is a spam? Major Topic Introductory Probability Blooms Designation AP Score 7 d)Rolling a die and flipping a coin. State the type of events listed and explain your result? Major Topic Introductory Probability Blooms Designation AN Score 5 TOTAL SCORE: 25 MARK+