15. ( pt) Library/NAU/setStatistics/SampleSpace-pg In an experiment, a fair coin

Question

15. ( pt) Library/NAU/setStatistics/SampleSpace-pg In an experiment, a fair coin is tossed 10 times and the face that How many elements of the sample space will have no heads? How many elements of the sample space will have exactly How many elements of the sample space will start and end appears (H for head or T for tail) for each toss is recorded. one head? with different faces and have a total of exactly two heads? How many elements of the sample space will start and end with a head and include a total of exactly three heads?

Explanation / Answer

1. Number of elements of the sample space with no heads is one. Because, there is only one possibility where no heads wil be there.

2. Number of elements of the sample space with exactly one heads is ten.

3. Since it is gven that first and last end with different faces, (First or last should be head) and ( exactly one head in the middle 8 flips) = 2*8=16.

4. Since it is gven that first and last end with heads, (First and last should be head) and ( exactly one head in the middle 8 flips) = 1*8=8.

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