3. Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 samples are summarized as follows: Conforms Yes No 22 8 Suppliers UN - 25 30 10 Let A denote the event that a sample is from supplier 1, and let B denote the event that a sample conforms to specifications. If a sample is selected at random, determine the following probabilities: a. P(A) b. P(B) C. P(A)) d. P(An B) e. P(A U B) f. P(A' U B) 4. Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are summarized as follows: shock resistance high low scratch high 70 resistance low 16 a. If a disk is selected at random, what is the probability that its scratch resistance is high and its shock resistance is high? b. If a disk is selected at random, what is the probability that its scratch resistance is high or its shock resistance is high? c. Consider the event that a disk has high scratch resistance and the event that a disk has high shock resistance. Are these two events mutually exclusive