Mathematical Statistics and Data Analysis with CD (3rd Edition) Edit editionThis problem has been solved:
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The experiment here is tossing a coin. Coin is tossed three times and the sequence of the heads and tails is recorded.
a) Use the given information, list the sample space for the given experiment.
Our aim is to observe the sequence of heads and tails in three successive trails of a coin, so the sample space is defined as,
b) Use the sample space and write the element that make up the given events.
1) A = at least one head.
It means that there may be one head two heads or three heads in a successive trail. So, for the given event, from the sample space the elements in the set A are as follows:
2) B = the first two tosses are heads.
For the given event, from the sample space the elements in the set B are as follows:
3) C = the last toss is a tail.
For the given event, from the sample space the elements in the set B are as follows:
c) Use the sample space and the defined sets from part (b), write the element that make up the given events
1) The given event is 
2) The given event is
3) The given event is 
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