Darryl\'s statistics homework last night was to flip a fair coin and record the

Question

Darryl's statistics homework last night was to flip a fair coin and record the toss, X, when heads appeared for the second time. The experiment was to be repeated a total of onee hundred times. The following are the one hundred values for X that Darryl turned in this morning. Do you think that he actually did the assignment? Explain.

3 7 3 2 9 3 4 3 3 2

7 3 8 4 3 3 3 4 3 3

4 3 2 2 4 5 2 2 2 4

2 5 6 4 2 6 2 8 3 2

8 2 3 2 4 3 2 6 3 3

3 2 5 3 6 4 5 6 5 6

3 5 2 7 2 10 4 3 2 2

4 2 4 5 5 5 6 2 4 3

3 4 4 6 3 4 2 5 5 2

5753274443

Explanation / Answer

Solution:

It is starting like this:

x is the toss when 2nd head turns up.

it can take any value from 2 to infinity.

probability that x=2 is 1/4.

and x=3 is 1/8*2=1/4.

x=4 is 3/16. and so on.

So he manipulated the values so that 2 occurs 25 times , 4 occurs 16 times etc. so , he did not do the assignment faithfully.

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