The probability of a pickerel fingerling living up to 5 years old is g. How many pickerel will live up to 5 years old from a batch of 1 500 fingerlings?

To determine how many pickerel fingerlings from a batch of 1,500 will live up to 5 years old, given the probability \( g \) that a single pickerel will live to 5 years, you can follow these steps:

### Formula
The expected number of fingerlings that will live up to 5 years old is calculated by multiplying the total number of fingerlings by the probability \( g \):

\[
\text{Number of pickerel that live} = \text{Total fingerlings} \times \text{Probability of living}
\]

### Calculation
Given:
- Total number of fingerlings = 1,500
- Probability of living to 5 years = \( g \)

Substituting the values into the formula:

\[
\text{Number of pickerel that live} = 1,500 \times g
\]

### Example Calculation
If \( g = 0.6 \) (60% chance of living to 5 years old):

\[
\text{Number of pickerel that live} = 1,500 \times 0.6 = 900
\]

Thus, **900 pickerel** will live up to 5 years old in this case.

### General Answer
Therefore, for a probability \( g \), the number of pickerel expected to live up to 5 years old is:

\[
\boxed{1,500 \times g}
\]

### Related Questions
1. **What factors could affect the probability \( g \) of a pickerel living to 5 years?**
2. **How would the expected number of surviving pickerel change if the probability \( g \) increased or decreased by 0.1?**
3. **What is the variance in the number of pickerel living to 5 years old?**
4. **If you wanted to ensure at least 1,000 pickerel live to 5 years, what should the probability \( g \) be?**
5. **How does this probability model compare with actual observed survival rates in similar studies?**
6. **What is the probability that exactly 1,000 pickerel will live up to 5 years old?**
7. **What methods can be used to increase the probability \( g \)?**
8. **How do environmental factors influence the survival probability of pickerel fingerlings?**

### Tip
Understanding probability can help make informed predictions and decisions in managing and improving outcomes in fisheries and wildlife conservation efforts.

Learn how to calculate the number of pickerel expected to live up to 5 years old from a batch of 1,500 fingerlings using probability. Understand the expected value formula and its application to fisheries management.

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