Soren K. has studied previous exams in German philosophy, and has discovered that the lecturer seems to love the two obscure philosophers Max Stirner and Karl Werder. Soren sets up a table he believes expresses the joint probabilities for the respective number of questions on Stirner (X)

and onWerder (Y):

(a) Write up the table for the cumulative probability F_XY .

(b) Find the probability that Soren gets a total of 5 questions about these two philosophers.

(c) Find the conditional probabilities P(X = 1|X + Y = 5), P(X = 2|X + Y = 5), and P(X = 3|X + Y = 5), and write them into a table.

(d) What do you find, when you calculate P(X = a|X + Y = 5)?

Transcribed Image Text:

X=1 X 2 X = 3. = Y = 2 0 0.1 0.2 Y = 3 0.05 0.15 0.1 Y = 4 0.15 0.2 0.05