In a feed-forward neural network with the following specifications:The input layer has 4 neurons, the hidden layer has 3 neurons, and the output layer has 2 neurons using the sigmoid activation function for given input values [0.5, 0.8, 0.2, 0.6] as well as the initial weights for the connections.W1: [0.1, 0.3, 0.5, 0.2]W2: [0.2, 0.4, 0.6, 0.2] Input layer to hidden layer weightsW3: [0.3, 0.5, 0.7, 0.2]W4: [0.4, 0.1, 0.3]W5: [0.5, 0.2, 0.4] Hidden layer to output layer weightsWhat is the output of the output layer when the given input values are passed through the neural network? Round the answer to two decimal places:Question 29Answera.[0.72, 0.78]b.[0.62, 0.68]c.[0.82, 0.88]d.[0.92, 0.98]

To solve this problem, we need to follow these steps:

1. Calculate the weighted sum for each neuron in the hidden layer. This is done by multiplying each input by its corresponding weight and summing the results. For example, for the first neuron in the hidden layer, the weighted sum would be (0.5 * 0.1) + (0.8 * 0.2) + (0.2 * 0.3) + (0.6 * 0.4).

2. Apply the sigmoid activation function to the weighted sum to get the output of each neuron in the hidden layer. The sigmoid function is defined as 1 / (1 + e^-x), where e is the base of the natural logarithm and x is the input to the function.

3. Repeat steps 1 and 2 for the output layer, using the outputs of the hidden layer as inputs and the weights from the hidden layer to the output layer.

4. The final output of the network is the output of the neurons in the output layer.

However, the weights provided in the question seem to be inconsistent with the structure of the network. For a network with 4 input neurons and 3 hidden neurons, we would expect to have 12 weights (4 for each neuron in the hidden layer). Similarly, for a network with 3 hidden neurons and 2 output neurons, we would expect to have 6 weights (3 for each neuron in the output layer). The weights provided in the question do not match these expectations, so it's not possible to calculate the output of the network with the information given.