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Sagot :
Out of 150 offsprings born to a gray, 38 offsprings are expected to be blue with short fins
How to determine the expected number of blue fish with short fins
To do this, we make use of the following representations
- L represents long finned fish
- l represents short finned fish
- g represents the gray fish
- b represents the blue fish
So, we have the following genotypes
Lg, Lb, lg, lb
In the above 4 genotypes, lb represent the blue fishes with short fins
So, the probability of selecting a blue fish with short fins is:
[tex]p = \frac 14[/tex]
In 150 offsprings, we have:
n = 150
So, the expected value is:
[tex]E(x) = np[/tex]
This gives
[tex]E(x) = 150 * \frac 14[/tex]
Evaluate the product
[tex]E(x) = 37.5[/tex]
Approximate
[tex]E(x) = 38[/tex]
Hence, 38 offsprings are expected to be blue with short fins
Read more about expected values at:
https://brainly.com/question/11377348
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