Out of 150 offsprings born to a gray, 38 offsprings are expected to be blue with short fins
<h3>How to determine the expected number of blue fish with short fins</h3>
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:
![p = \frac 14](https://tex.z-dn.net/?f=p%20%3D%20%5Cfrac%2014)
In 150 offsprings, we have:
n = 150
So, the expected value is:
![E(x) = np](https://tex.z-dn.net/?f=E%28x%29%20%3D%20np)
This gives
![E(x) = 150 * \frac 14](https://tex.z-dn.net/?f=E%28x%29%20%3D%20150%20%2A%20%5Cfrac%2014)
Evaluate the product
![E(x) = 37.5](https://tex.z-dn.net/?f=E%28x%29%20%3D%2037.5)
Approximate
![E(x) = 38](https://tex.z-dn.net/?f=E%28x%29%20%3D%2038)
Hence, 38 offsprings are expected to be blue with short fins
Read more about expected values at:
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