Answer:
0.9905
Step-by-step explanation:
Let [tex]p_{1}[/tex], [tex]p_{2}[/tex],..., [tex]p_{n}[/tex] be the probabilities of all possible outcomes of an event.
Then Entropy(E) can be calculated using the equation
In the data set there are two outcomes: positive and negative.
Thus, [tex]E=p_{positive}*log_{2}(p_{positive}) +p_{negative}*log_{2}(p_{negative}) = -0.5576*log_{2}(0.5576) -0.4424*log_{2}(0.4424)[/tex]
=[tex] -(log_{2}(0.5576^0.5576) +log_{2}(0.4424^0.4424))[/tex]
=[tex] -(log_{2}((0.5576^0.5576)*(0.4424^0.4424)))[/tex]
=[tex] -(log_{2}(0.5033))[/tex]
=0.9905