Clarify your position, you are contradicting yourself.
No I have not
Based on the definition of random that I provided, do you accept the fact that non random mutations occure? Yes or no? (Random in this context means: arising irrespective of potential need)
First, this is NOT the definition of random, and never accepted it. .
Randomness - Wikipedia
In the common parlance,
randomness is the apparent lack of
pattern or
predictability in events.
[1][2] A random sequence of events,
symbols or steps often has no
order and does not follow an intelligible pattern or combination. Individual random events are by definition unpredictable, but since they often follow a
probability distribution, the frequency of different outcomes over numerous events (or "trials") is predictable.
[3] For example, when throwing two
dice, the outcome of any particular roll is unpredictable, but a sum of 7 will occur twice as often as 4. In this view, randomness is a measure of uncertainty of an outcome, rather than its haphazardness, and applies to concepts of chance,
probability, and
information entropy.
According to
Ramsey theory, ideal randomness is impossible especially for large structures. For example, professor
Theodore Motzkin pointed out that "while disorder is more probable in general, complete disorder is impossible".
[4] Misunderstanding of this can lead to numerous
conspiracy theories.
[5]
The fields of mathematics, probability, and statistics use formal definitions of randomness. In statistics, a
random variable is an assignment of a numerical value to each possible outcome of an
event space. This association facilitates the identification and the calculation of probabilities of the events. Random variables can appear in
random sequences. A
random process is a sequence of random variables whose outcomes do not follow a
deterministic pattern, but follow an evolution described by
probability distributions. These and other constructs are extremely useful in
probability theory and the various
applications of randomness.
Randomness is most often used in
statistics to signify well-defined statistical properties.
Monte Carlo methods, which rely on random input (such as from
random number generators or
pseudorandom number generators), are important techniques in science, particularly in the field of
computational science.
[6] By analogy,
quasi-Monte Carlo methods use
quasi-random number generators.
It is true that mutations do '
arise irrespective of potential need'
Non-random is the reverse of random.
Non-random is that the occurance of and outcome of an event or series of events may be predicable consisten and defined by a cause.
In Genetics a bit technical
Real-Time Definition of Non-Randomness in the Distribution of Genomic Event
Ulrich Abel, Annette Deichmann, Cynthia Bartholomae, Kerstin Schwarzwaelder, Hanno Glimm, Steven Howe, Adrian Thrasher, Alexandrine Garrigue, Salima Hacein-Bey-Abina, Marina Cavazzana-Calvo, Alain Fischer, Dirk Jaeger, Christof von Kalle.
Features such as mutations or structural characteristics can be non-randomly or non-uniformly distributed within a genome. So far, computer simulations were required for statistical inferences on the distribution of sequence motifs. Here, we show that these analyses are possible using an analytical, mathematical approach. For the assessment of non-randomness, our calculations only require information including genome size, number of (sampled) sequence motifs and distance parameters. We have developed computer programs evaluating our analytical formulas for the real-time determination of expected values and
p-values. This approach permits a flexible cluster definition that can be applied to most effectively identify non-random or non-uniform sequence motif distribution. As an example, we show the effectivity and reliability of our mathematical approach in clinical retroviral vector integration site distribution.
Well then deal with the sources and evidence that suggest otherwise.
Otherwise what?
I gave suggested readings and references so far you have failed to respond.