The analysis of shafts for a compressor is summarized by conformance to specifications:
(a) If we know that a shaft conforms to roundness requirements, what is the probability that it conforms to surface finish requirements?
(b) If we know that a shaft does not conform to roundness requirements, what is the probability that it conforms to surface finish requirements?
Lecture 3 Nicole Rubenstein September 5, 2017 3 Probability Properties (2.4-2.5, 2.7-2.9) De▯nition 3.1. An experiment is an activity that involves chance that leads to results, which can be repeated. De▯nition 3.2. A sample point is a possible result of a single trial of an experiment. De▯nition 3.3. An event is one or more possible outcomes of an experiment (i.e. a collection of sample points). The probability of an event A occurring is denoted P(A). There are two di▯erent types of events: 1. Simple event: only one sample point 2. Compound event: more than one sample point De▯nition 3.4. A sample space associated with an experiment is the set of all possible sample points, usually de