Given a vector of values of zeros and ones such as [1 0 1 0 0 0 1 0] I'm asked to, given a probability provided by the user, use that probability to change the values in the vector using that probability.
For example given the vector [0 1 0 0 0 1 0 0 0 1] and probability .2 provided by the user there is a 20% chance that the values in the vector will change (either from 0 to 1 or 1 to 0) or that there's a good chance that a vector of 10 values 2 values in that vector will change.
I'm asked to create a function to do this and kind of confused how to do this with the probability of changing the values (apparently I have to use rand function which I know how to use just kind of lost how to do this)
I assume that I would have to take each value within the vector (there will be exactly 8 values in the vector) and doing something to each of these values with the probability and changing them from the current value to the one it is not (either 1 or 0).
I'm kind of lost. Thanks for any help which you can provide.
To create a function that changes the values in the vector based on a given probability, you can follow these steps:
1. Iterate over each value in the vector.
2. For each value, generate a random number between 0 and 1 using the `rand` function.
3. Compare the random number with the given probability. If the random number is less than the probability, change the value in the vector.
- If the current value is 0, change it to 1.
- If the current value is 1, change it to 0.
4. Repeat this process for each value in the vector.
5. Return the updated vector.
Here's an example implementation in Python:
```python
import random
def change_vector_values(vector, probability):
for i in range(len(vector)):
random_number = random.random()
if random_number < probability:
vector[i] = 1 - vector[i]
return vector
# Example usage
vector = [0, 1, 0, 0, 0, 1, 0, 0, 0, 1]
probability = 0.2
changed_vector = change_vector_values(vector, probability)
print(changed_vector)
```
In this example, the function `change_vector_values` takes the `vector` and `probability` as inputs and modifies the vector based on the given probability. The `random.random()` function generates a random number between 0 and 1. If the random number is less than the probability, the value in the vector is changed. Finally, the modified vector is returned.
Remember to adjust the code accordingly if you are using a different programming language, as the syntax may vary.