# Problem: • There are approximately 3,000,000,000 base pairs in the mammalian genome (genes constitute only a small portion of this total).• There are approximately 10,000 genes in the mammalian genome.• A single gene averages about 10,000 base pairs in size.Questions:1. Based on the assumptions above, in the mammalian genome, how many total base pairs are in all the mammalian genes? Show your math.2. What proportion (%) of the total genome does this represent? Show your math.3. What is the probability that a random mutation will occur in any given gene? Show your math.4. Only 1 out of 3 mutations that occur in a gene result in a change to the protein structure. What is the probability that a random mutation will change the structure of a protein? Show your math.

###### FREE Expert Solution

Given: Mammalian Genome

• 3 × 109 bps

• 1 × 104 genes

• 1 × 104 bp/gene

1. Calculating for the total number of base pairs in mammalian genes:

= 1 × 108 base pairs

Answer: There are 1 × 108 base pairs in mammalian genes. ###### Problem Details

• There are approximately 3,000,000,000 base pairs in the mammalian genome (genes constitute only a small portion of this total).
• There are approximately 10,000 genes in the mammalian genome.
• A single gene averages about 10,000 base pairs in size.

Questions:
1. Based on the assumptions above, in the mammalian genome, how many total base pairs are in all the mammalian genes? Show your math.
2. What proportion (%) of the total genome does this represent? Show your math.
3. What is the probability that a random mutation will occur in any given gene? Show your math.
4. Only 1 out of 3 mutations that occur in a gene result in a change to the protein structure. What is the probability that a random mutation will change the structure of a protein? Show your math.