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A geneticist is studying two genes. Each gene can be
Chapter 2, Problem 17E(choose chapter or problem)
A geneticist is studying two genes. Each gene can be either dominant or recessive. A sample of 100 individuals is categorized as follows.
a. What is the probability that a randomly sampled individual, gene 1 is dominant?
b. What is the probability that a randomly sampled individual, gene 2 is dominant?
c. Given that gene 1 is dominant, what is the probability that gene 2 is dominant?
d. These genes are said to be in linkage equilibrium if the event that gene 1 is dominant is independent of the event that gene 2 is dominant. Are these genes in linkage equilibrium?
Questions & Answers
QUESTION:
A geneticist is studying two genes. Each gene can be either dominant or recessive. A sample of 100 individuals is categorized as follows.
a. What is the probability that a randomly sampled individual, gene 1 is dominant?
b. What is the probability that a randomly sampled individual, gene 2 is dominant?
c. Given that gene 1 is dominant, what is the probability that gene 2 is dominant?
d. These genes are said to be in linkage equilibrium if the event that gene 1 is dominant is independent of the event that gene 2 is dominant. Are these genes in linkage equilibrium?
ANSWER:Step 1 of 5
A study about two genes done by a geneticist. Each gene can either be recessive or dominant.
A sample of 100 individuals categorized as
|
|
Gene 2 |
|
|
|
Gene 1 |
Dominate |
Recessive |
Total |
|
Dominate |
56 |
24 |
80 |
|
Recessive |
14 |
6 |
20 |
|
Total |
70 |
30 |
100 |
We have to find the following.
(a) The probability that for a randomly sampled individual gene 1 is dominant.
(b) The probability that for a randomly sampled individual gene 2 is dominant.
(c) Given that gene 1 is dominant, then the probability that gene 2 is dominant.
(d) The events ‘gene 1 is dominant’ and ‘gene 2 is dominant’ are independent or not
By the classical definition of probability:
\(\text { Probability }=\frac{\text { number of favorable outcomes }}{\text { total number of possible events }}\)
An individual is randomly selected.