017 - pHit and pMiss Question

Code to Output P from P hit and P miss

Explanation

• The goal is to create a program that multiplies two probability distributions, specifically P hit and P miss, and outputs the resulting distribution P.

• This process allows us to observe the non-normalized version of P resulting from the multiplication of the two distributions at corresponding positions.

Python Code

import numpy as np

# Example inputs for P_hit and P_miss
P_hit = np.array([0.1, 0.2, 0.4, 0.3])  # Probability of hits
P_miss = np.array([0.9, 0.8, 0.6, 0.7])  # Probability of misses

# Multiplying the two distributions element-wise
P = P_hit * P_miss

# Output the resulting non-normalized P distribution
print("Resulting P:", P)

How the Code Works

• We create two NumPy arrays: P_hit and P_miss that represent the probabilities of hits and misses, respectively.

• We then multiply these two arrays element-wise using the * operator. This computes the contribution of each pair of corresponding elements from the two distributions.

• Finally, we print the resulting array P, which demonstrates the non-normalized product of the two input distributions.