5) We use logistic regression to estimate if a bird is female or male. We measure the length of the bird X and the width of wings Y. So, we have a model which is ea+om+51y P(female|X 2 33,1! 2 y) = W a) Assume we have estimated a = 1, 50 = 2 and 61 = 3. Say you have a bird with a: = 3 and y = 5. What probability has that bird to be female? b) Say you get the following data set for birds. Male is 1 and female is 0: So, we have two male birds and two female. Say we want to estimate a, 60 and 61 using this data set and Maximum-likelyhood. What function of oz, g and 51 do we have to maximize? (We do not ask that you actually do the maximization since it is a numeric process which goes in approximation steps...., only mention the function to maximize)