Problem: Write a neural network $($NN$)$ model to perform one epoch forward propagation. The following are required:

$$ Use python to program your solution.

$$ Use matrix based equations only.

$$ Your code should print the output of the final layer to the screen $(31$

numbers$).$

NN Architecture:

a$.$ First input layer: $7$ nodes $+$ bias.

b$.$ Second layer: $5$ nodes $+$ bias.

c$.$ Third layer: $2$ nodes $+$ bias.

d$.$ Output layer: $1$ node.

e$.$ All weights to be set to random numbers greater than $0$ and less than $1.$

f$.$ Use logistic function for each node activation.

Data: $5$ features $+$ bias. There should be $31$ examples$/$samples for each feature, all set to a value $3.$

Uploads:

$1.$ Code file named HW$\_2.$py

$2.$ Screenshot of code run and output. Call your program using:

python HW$\_2.$py