Our test includes considering five tosses of a coin and record the outcomes of the head in those tosses, this test also assumes that we consider the probability of achieving 0, 1, 2, 3, 4 and 5 heads in the five tosses, we therefore construct a table that will give the results of this statistical test, our table will contain three columns where we will have column A, B and C, column A will give the possible outcomes of a head in the five tosses, B will give us the possibility of these outcomes and column C will give us the probability of achieving the outcomes of the head.

When we consider the 5 tosses of a coin then the probability of getting a tail or a head in one toss is 0.5, this means that the probability of getting a head or a tail is equal to one. When we consider the 5 tosses of the coin then the following table displays the results of the probability of outcome:

A

B

C

0

1

1 / 7

0.03125

1

5

0.15625

2

10

0.3125

3

10

0.3125

2 / 7

4

5

0.15625

5

1

0.03125

Column A shows the number of heads in 5 tosses of the coin, column B shows the number of ways in which the heads can be achieved given the value in column A, column C finally gives the probability of achieving the outcomes, from this table some observations are evident, this evidence include the fact that the probability increase upto where column A value is equal to 2 and 3 and then the probability starts to decrease.

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From the table we can perform additional statistical inferences as depicted by the following table:

A

B

C

0

1

0.03125

1

5

0.15625

2

4 / 7

10

0.3125

3

10

0.3125

4

5

0.15625

5

1

0.03125

5 / 7

total

1

mean

0.166667

SD

0.126037

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