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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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Solution re: table of numeric integration | Comment 8 of 9 |
(In reply to table of numeric integration by Charlie)

BTW, that's

P(digit >= n) = 1 - Integ{0 to 1} e^(ln(digit/10)/x) dx

Since that's >=, each lower digit individually is found by subtracting from the previous.  The integration doesn't work out when seeking digit zero, but that's known to be 1; that is, the integration is zero and, subtracted from 1 is 1.

  Posted by Charlie on 2014-10-30 08:47:54
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