MLF End Term: 3 April 2022 (January 2022 term)

Stephen Fleming hired a ML team to predict whether CSK will be successful or not in winning IPL 2022 by using some classification models. Therefore the team collected presence/absence of various factors $x = [x_1, x_2, x_3]$ from both successful and unsuccessful year in past. The data and the corresponding label is shown in the table below.

Compute the zero-one error of the model if they have used

$u(z) = \begin{cases} 1, & \text{for } z \ge 0 \\ 0, & \text{otherwise} \end{cases}$

and $z = 0.5x_1 - 0.8x_2 + 0.4x_3$

NOTE: Enter your answer in two decimal places.

NOTE: Enter your answer to the nearest integer.

X and Y are independent uniform variables in the range of 1 to 5. What is the 87.5*^(th)* percentile of X + Y ? i.e Calculate a such that P(X + Y ≥ a) = 0.125
NOTE: Enter your answer to the nearest integer.