A computer manufacturer receives computer boards in lots of five. Two boards are selected from each...
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A computer manufacturer receives computer boards in lots of five. Two boards are selected from each lot for inspection. Represent the possible outcomes of the selection process by pairs i.e (1,2) denotes that boards 1 and 2 selected (a) Identify the sample space of the experiment (list the ten different possible outcomes) (b) Suppose boards 1 and 2 are the only defective boards in a lot of five. The boards are chosen at random. Define X to be the number of defective boards among those inspected. Find the probability distribution of X. (c) Let F denote the cumulative distribution of X. Derive F(x) for all X. Sketch the graph of F. A computer manufacturer receives computer boards in lots of five. Two boards are selected from each lot for inspection. Represent the possible outcomes of the selection process by pairs i.e (1,2) denotes that boards 1 and 2 selected (a) Identify the sample space of the experiment (list the ten different possible outcomes) (b) Suppose boards 1 and 2 are the only defective boards in a lot of five. The boards are chosen at random. Define X to be the number of defective boards among those inspected. Find the probability distribution of X. (c) Let F denote the cumulative distribution of X. Derive F(x) for all X. Sketch the graph of F.
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