When a certain glaze is applied to a ceramic surface, the probability is 5% that there will be discoloration, 20% that there will be a crack, and 23% that there will be either discoloration or a crack, or both. A ceramic surface is selected at random. Let X = 1 if there is discoloration, and let X = 0 otherwise. Let Y = 1 if there is a crack, and let Y = 0 otherwise. Let Z = 1 if there is either discoloration or a crack or both, and let Z = 0 otherwise. Let pX denote the success probability for x. find pX.

Question

Paxton Avila

Mathematics

29 March, 23:02

When a certain glaze is applied to a ceramic surface, the probability is 5% that there will be discoloration, 20% that there will be a crack, and 23% that there will be either discoloration or a crack, or both. A ceramic surface is selected at random. Let X = 1 if there is discoloration, and let X = 0 otherwise. Let Y = 1 if there is a crack, and let Y = 0 otherwise. Let Z = 1 if there is either discoloration or a crack or both, and let Z = 0 otherwise. Let pX denote the success probability for x. find pX.

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Nia Clark · Answer 1

px = P (X=1) = 0.05

Step-by-step explanation:

px represent the success probability for X, meaning that it is just the probability that there is a discoloration of the applied glaze on the ceramic surface and for only one sample, the probability that the sample is discoloured is evidently given as 5% = 0.05

px = P (X=1) = 0.05