Page 3 of 8 Q1. (2p) 50 Samples of a part of 3D-printer are classified as shown in the table below on the basis of conformity to Depth and Width specifications. The number of parts which conform to Depth Specifications Yes No The number of parts which conform to Width Specifications Yes 21 14 No 11 4 Calculate the following probabilities/Answer the questions. 1) (1p) The probability of having a part with conforming Depth specifications. 2) (1pt) The probability of having a part conforming to Width specifications. 3) (1pt) The probability of having a part with both conforming Depth AND Width specifications. (1pt) The probability of having a part conforming to Depth OR to Width specifications (5pt) The probability that a part conforms to Depth Specifications knowing that it does not forms to Width specifications (Conditional probability) The probability that a part conforms to Width Specifications when knowing that it does as to Depth specifications (Conditional probability)
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