The letter A in Spanish is pronounced like the A in the English word “apple”. 

Part 2 (60 pts) Answer the following multiple choice questions.

Q1.c. Solve the two conditions to obtain the optimal choices x1* and x2* as functions of p1, p2 and m.

If the frequency of a wave increases:

What wave parameter is indicated by the arrow on the image?

If the area indicated between the dotted lines represents a time of 0.25 seconds, what is the frequency of the wave?

Will the conditional entropy H(Y | X) increase, decrease, or stay the same?

Will the marginal entropy H(Y) increase, decrease, or stay the same?

You are building a regression model to predict house prices based on features such as size, age, number of rooms, and location. You are considering two feature transformation techniques: Principal Component Analysis (PCA)} to reduce dimensionality. Polynomial feature expansion} to capture nonlinear relationships. Which of the following statements are true in this scenario?

Under EM, what is the (normalized) responsibility of Cluster 1? Round to 3 decimal spaces.