Generating random numbers
The number generation technique is generally sound.  I just have the following minor suggestions:


The idiomatic way to repeat something 10 times is

for (int idx = 0 ; idx &lt; 10 ; ++idx) { … }

Use the fRandom instance variable; you shouldn't need to create new Random() in each function.
You hard-coded values in each function; those constants should probably be pulled out to the class level.
showRandomInteger() should be changed to return a random value instead of logging it.
The compiler will implicitly do String.valueOf() for you, so you can just write

log("Generated : " + getGaussean(MEAN,VARIANCE));

getGaussean() should be spelled getGaussian().