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# homework - Homework 1 Homework must be answered in the...

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Homework 1 Homework must be answered in the order shown here (else please make a note telling the reader where it is). Write your answers neatly Work must be shown for full credit No late homework accepted under any circumstances 1.- A die is rolled continually until a 6 appears, at which point the experiment stops. What is the sample space of this experiment? Let E n denote the event that n rolls are necessary to complete the experiment. What points of the sample space are contained in E n ? What is ? 2.- Two dice are thrown. Let E be the event that the sum of the dice is odd; let F be the event that at least one of the dice lands on 1; and let G be the event that the sum is 5. Describe the events EF, E F , FG, EF c , and EFG. 3.- A, B, C take turns in flipping a coin. The first one to get a head wins. The sample space of this experiment can be defined by (a) Interpret the sample space (b) Define the following events in terms of S: (i) A wins = A (ii) B wins=B (iii) (A B) c 4. A system is composed of 5 components, each of which is either working or failed. Consider an experiment that consists of observing the status of each component, and let the outcome of the

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## This note was uploaded on 07/15/2011 for the course STATS 100A taught by Professor Wu during the Summer '07 term at UCLA.

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homework - Homework 1 Homework must be answered in the...

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