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Random^Random (Posted on 2014-10-29) Difficulty: 5 of 5
Let A and B each be random real numbers chosen from the uniform interval (0,1).

Call Z the tenths place digit of AB.

Find the probability distribution of Z.

See The Solution Submitted by Jer    
Rating: 5.0000 (1 votes)

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re(2): table of numeric integration | Comment 7 of 9 |
(In reply to re: table of numeric integration by Ady TZIDON)

Yes; I just pasted the values and they do add up to 1.


From spreadsheet:

<table border="0" cellpadding="0" cellspacing="0" width="144" style="border-collapse: collapse;width:108pt"> <colgroup><col width="144" style="mso-width-source:userset;mso-width-alt:5266;width:108pt"> </colgroup><tbody><tr height="20" style="height:15.0pt"> <td height="20" align="right" width="144" style="height:15.0pt;width:108pt">0.287099276</td> </tr> <tr height="20" style="height:15.0pt"> <td height="20" align="right" style="height:15.0pt">0.16594818</td> </tr> <tr height="20" style="height:15.0pt"> <td height="20" align="right" style="height:15.0pt">0.125496728</td> </tr> <tr height="20" style="height:15.0pt"> <td height="20" align="right" style="height:15.0pt">0.100801531</td> </tr> <tr height="20" style="height:15.0pt"> <td height="20" align="right" style="height:15.0pt">0.083129051</td> </tr> <tr height="20" style="height:15.0pt"> <td height="20" align="right" style="height:15.0pt">0.069300443</td> </tr> <tr height="20" style="height:15.0pt"> <td height="20" align="right" style="height:15.0pt">0.057748054</td> </tr> <tr height="20" style="height:15.0pt"> <td height="20" align="right" style="height:15.0pt">0.047482533</td> </tr> <tr height="20" style="height:15.0pt"> <td height="20" align="right" style="height:15.0pt">0.037574452</td> </tr> <tr height="20" style="height:15.0pt"> <td height="20" align="right" style="height:15.0pt">0.025419753</td> </tr> <tr height="20" style="height:15.0pt"> <td height="20" style="height:15.0pt"></td> </tr> <tr height="20" style="height:15.0pt"> <td height="20" align="right" style="height:15.0pt">1</td> </tr></tbody></table>In fact, due to difficulties in the integration process when the bottom limit was zero, the last element (for zero digit) was obtained by subtracting all the rest from 1.

Well the above is what I get for pasting directly from a spreadsheet. But the numbers are there if you look hard enough.

Edited on October 30, 2014, 8:36 am
  Posted by Charlie on 2014-10-30 08:34:08

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