Mutation suppose that one of three different alleles is present in each individual in a population. in each generation the following happens: 5% of individuals carrying allele x mutate to carry allele y, 3% mutate to allele z, and the rest remain unchanged; 0.1% of individuals carrying allele y mutate to carry allele z and the rest remain unchanged; 90% of individuals carrying allele z mutate to carry allele x and the rest remain unchanged.

Please refer to the attachment below.

Step-by-step explanation:

Let us first consider the individual carrying allele X , Y and Z as Xt, Yt and Zt

Also consider that in each generation 5% mutate from X to Y and 3% mutate from X to Z, hence % of X alleles remains the same and it will be

= 100 - (5% + 3%) = 92%

Also consider that 0.1% mutate from Y to Z  hence, the percentage of Y alleles remain same and will be 99.9%

we also need to consider that mutation from Z to X is 90% hence 10% of Z alleles remains indifferent

Now the difference equations describing the system will be

Xt+1 = 0.92Xt + 0.92Zt

Yt+1 = 0.05Xt + 0.999Yt

Zt+1 = 0.03Xt + 0.01Yt + 0.1Zt

or

Xt+1 = 0.92Xt + 0.000Yt + 0.9Zt

Yt+1 = 0.05Xt + 0.999Yt + 0.0Zt

Zt+1 = 0.03Xt + 0.01Yt + 0.1Zt

(The final matrix in given in the attachments)

for the first question it would be the second answer for the second question it would be the third answer and for the third question it would be the first answer

step-by-step explanation: