Specify sample spaces for the random experiments (a)-(e) and give mathematical descriptions of the corresponding events....

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Specify sample spaces for the random experiments (a)-(e) andgive mathematical descriptions of the corresponding events. (a)Experiment: A coin is tossed three times. Event: The result of thesecond toss is â€œheadsâ€. (b) Experiment: Three indistinguishablecoins are tossed at the same time. Event: At most two of the coinsshow â€œheadsâ€. (c) Experiment: A die is rolled until each number hasappeared at least once. The outcome is the number of rolls needed.Event: Less than 15 rolls are needed. (d) Experiment: n deviceslabeled with 1, . . . , n are inspected. It is of interest whichdevices are working and which are not. Event: The first threedevices are defective. (e) Experiment: n devices are inspected.Interest lies in the number of defective devices. Event: Exactlythree devices are defective.

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Solution Note is used for sample space of an experiment and E is used for sample space of an event a Sample Space for given experiment H Head and T Tail when tossing a coin HHHHHTHTHHTTTHHTHTTTHTTT Now event says The result of the second toss is heads So Now all second element need to be H Sample space will change to E HHHHHTTHHTHT So number of outcomes will reduce to 4 See Answer

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