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Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 2.3 - Problem 17e
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 2.3 - Problem 17e

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# A geneticist is studying two genes. Each gene can be

ISBN: 9780073401331 38

## Solution for problem 17E Chapter 2.3

Statistics for Engineers and Scientists | 4th Edition

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Problem 17E

Problem 17E

A geneticist is studying two genes. Each gene can be either dominant or recessive. A sample of 100 individuals is categorized as follows.

 Gene2 Gene1 Dominate Recessive Dominate 56 24 Recessive 14 6

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. Arc these genes in linkage equilibrium?

Step-by-Step Solution:

Solution:

Step 1:

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

1. The probability that a randomly sampled individual, gene 1 is dominant.
2. The probability that a randomly sampled individual, gene 2 is dominant.
3. Given that gene 1 is dominant, then the probability that gene 2 is dominant.
4. Genes are said 2 to equilibrium if the event that gene 1 is dominant and gene 2 is dominant are independent. Is this events are independent.

Step 2 of 4

Step 3 of 4

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