Consider the following classification problem.. We first choose the label Y ∼ Bernoulli( 1 2 ), which is 1 with probability 1 2 . If Y = 1, then X ∼ Bernoulli(p); otherwise, X ∼ Bernoulli(q). Assume that p > q. Required:
a. What is the Bayes optimal classifier, and what is its risk?
b. What is the Bayes optimal classifier?

Draw the engineering stress-strain curve for (a) bcc; (b) fcc metals and mark important points.

Which of the following ziegler nichols tuning methods the response of the controller to a step input should exhibit an s-shaped curve? a)-open loop mode b)-closed loop mode c)-both modes (open & closed) d)-none of the modes (open & closed)

Plot schematically the tensile stress versus strain curves for a typical thermoplastic material at a temperature below its glass transition temperature (tg and at a temperature above its tg, respectively. do the same for a typical thermosetting material. list in a table any differences or similarities between the two materials at t> tg and t < tg, respectively, and relate them to the structures of the two types of polymers