A population of 500 semiconductor wafers contains wafers fro
A population of 500 semiconductor wafers contains wafers from 3 lots. The wafers are categorized by lot and whether they conform to a thickness specification. The following table presents the number of wafers in each category. Lot 1 Lot 2 Lot 3 Conforming Nonconforming 78 12 125 35 210 40 Suppose that one of the wafers described above is selected at random. Let A denote the event that the wafer is from Lot 1 and let B denote the event that the wafer conforms to the thickness specification. Compute the following probabilities: (a) P(A) (b) P(B) (c) P(AB) (d) P(A U B) (e) Are A and B independent events? Explain your answer.
A population of 500 semiconductor wafers contains wafers from 3 lots. The wafers are categorized by lot and whether they conform to a thickness specification. The following table presents the number of wafers in each category. Lot 1 Lot 2 Lot 3 Conforming Nonconforming 78 12 125 35 210 40 Suppose that one of the wafers described above is selected at random. Let A denote the event that the wafer is from Lot 1 and let B denote the event that the wafer conforms to the thickness specification. Compute the following probabilities: (a) P(A) (b) P(B) (c) P(AB) (d) P(A U B) (e) Are A and B independent events? Explain your answer.
A population of 500 semiconductor wafers contains wafers from 3 lots. The wafers are categorized by lot and whether they conform to a thickness specification. The following table presents the number of wafers in each category. Lot 1 Lot 2 Lot 3 Conforming Nonconforming 78 12 125 35 210 40 Suppose that one of the wafers described above is selected at random. Let A denote the event that the wafer is from Lot 1 and let B denote the event that the wafer conforms to the thickness specification. Compute the following probabilities: (a) P(A) (b) P(B) (c) P(AB) (d) P(A U B) (e) Are A and B independent events? Explain your answer.