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In: Statistics and Probability

Consider two genes with different expected mutation rates due to size. Gene 1 has a mutation...

Consider two genes with different expected mutation rates due to size. Gene 1 has a mutation rate of 1 x 10-6 in the population, while gene 2 has a mutation rate of 3 x 10-6 in the population. Assume that the probability for an individual to have two mutations in one gene is 0. Also, the number of bases, n, in a gene is large.

  1. State the probability for gene 1 and for gene 2 that there is exactly one person with a mutation in the gene in a random sample of 1000 people.

  2. State the probability for gene 1 and for gene 2 that there is exactly one person with a mutation in either of the two genes in your sample.

  3. State the probability for each gene separately that they are exactly two people with mutations in your sample.

  4. State the probability that there is either zero or at least one person with a mutation in a gene in your sample.

  5. State the probability that there are more than two people with mutations total between the two genes in your sample.

  6. Consider the case that gene 2 controls the potential for mutation of gene 1. If gene 2 is mutated, gene 1 has a probability of 50% of being mutated, while if gene 2 is not mutated, gene 1 has a probability of 10% of being mutated. What is the probability that gene 1 is mutated in an individual.

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orchestra answered 1 year ago
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