Phoebe

2021-08-17

To calculate: Percentage of gene combinations that result in albino coloring, further model a polynomial representing possible gene combinations.

smallq9

Step 1
a) Punnet square implies that there are 4 total gene combinations, namely NN, Na, Na, aa.
One one gene combination is devoid of even a single N.
Therefore the probability of albino coloring $=\frac{1}{4}$
$=0.25$
Percentage of albino coloring $=25\mathrm{%}$
b) Each parent deer has half N genes and half a genes.
Modeling genetic makeup of each parent
$=0.5N+0.5a$
As there are two parents, genetic makeup of offspring is modeled in the form of polynomial ${\left(0.5N+0.5a\right)}^{2}$
$={\left(0.5N\right)}^{2}+{\left(0.5a\right)}^{2}+2\left(0.5N\right)\left(0.5a\right)$ (Standard algebraic identity)
$=0.25{N}^{2}+0.25{a}^{2}+2\left(0.5N\right)\left(0.5a\right)$ (Evaluate powers)
$=0.25{N}^{2}+0.25{a}^{2}+0.5\left(Na\right)$ (Simplify)
Coefficients in above polynomial represent the probabilities of each kind of offspring.

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