Assume that the translational error frequency, 8, is 1 × 10-4. (a) Calculate the probability of making a perfect protein of 100 residues. (b) Repeat for a 1000-residue protein.

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Chapter10: From Proteins To Phenotypes
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Assume that the translational error frequency, 8, is 1 × 10-4.
(a) Calculate the probability of making a perfect protein of 100
residues.
(b) Repeat for a 1000-residue protein.
Transcribed Image Text:Assume that the translational error frequency, 8, is 1 × 10-4. (a) Calculate the probability of making a perfect protein of 100 residues. (b) Repeat for a 1000-residue protein.
Expert Solution
Step 1

The translation is the process of making a polypeptide chain from mRNA. The translation is catalyzed by several proteins, tRNA, and ribosomes.

Step 2

According to the question, the error rate for translation is 1*10-4, meaning that the translation machinery makes one error per 10,000 amino acids incorporated.

a. The given peptide has 100 residues.

 For every 10000 amino acids-1 error is madetherefore, for 100 residues-110000×100=0.01 errors will be made.The probability of getting a erroneous protein of length 100 residues will be 0.01.Hence, the pobability of getting an error-free protein will be 1-0.01=0.99 or 99%

b. The given peptide has 1000 residues

For every 10000 amino acids-1 error is madetherefore, for 1000 residues-110000×1000=0.1 errors will be made.The probability of getting a erroneous protein of length 100 residues will be 0.1.Hence, the pobability of getting an error-free protein will be 1-0.1=0.9 or 90%

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