19. If you could redistribute the heads and tails in the sequence in any order (and you included only the number of runs (i.e. R's) for this sequence that are possible), how many different number of runs (i.e. different R's) would fall outside the range of 95% certainty that R happened by random chance?
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
![19.
If you could redistribute the heads and tails in the sequence in any order (and you included only
the number of runs (i.e. R's) for this sequence that are possible), how many different number of
runs (i.e. different R's) would fall outside the range of 95% certainty that R happened by random
chance?
A. 9
В. 10
С. 11
D. 16
E. 18
20.
Suppose I looked at a sequence of 50 data observations for bull runs and bear runs. Which of the
following statements could best describe the results for a runs test? Read all answer choices and
choose the best answer!
A. This sequence of data is most likely random because it falls outside the normal range.
B. This sequence of data is most likely random because it falls within the normal range.
C. This sequence of data is most likely not random because it falls outside the normal
range.
D. Two of the first three answers above but they could not apply to the same sequence
of data.
E. Two of the first three answers above but they would have to apply to the same
sequence of data.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7f41b212-12ce-4b5f-8b76-c9135e97810f%2F8d900fc7-e01f-4f06-99d0-38198466bae3%2Fbwouc5_processed.jpeg&w=3840&q=75)
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