Question 13 Not yet answered Marked out of 1.00 \\7 Flag question Consider the joint density function The correlation between X and Y is Select one: 0 a. 1 o b. 0.7 O at 0.6 0 do 0 Question 14 NM y\" Consider the following conditional density function extracted from a joint bivariate normal density functions A student thinks that there is a mistake, that the two variables were uncorrelated If the student is correct, answemd and everything else is correct, what are the correct Marked out of 1.00 y|x=3.s \\7 Flag and question 6y|x=35 7 0.4 2 2 y | x) ~ N(yylx=3_5 = 25 +0.4E(35 3) = 2.66, 0y|x=35 = '/(1 0.4 )0.4 = 0.36666) Select one: Q a. A univariate normal density with mean 0 and standard deviation 1 Ob. A univariate normal density with mean 25 and standard deviation 0'4 0 c' A bivariate normal density with mean of X equal 35 and mean of Y equal 04 0 d' A bivariate normal density with variance 0.4 and mean 0 - Question 15 NM yat answered Marked out of 3.00 V Flag question Table 6.2 in the textbook is the same example we discussed in lecture 20, but with different probabilities. The exercise that follows will be easier if you have reviewed up to Section 6.4 of Chapter 6 and watched lecture 20. Exercise Find the following conditional probability mass functions obtained from Table 6.2 x \\y o 1 2 3 0 P(X=0,Y=0)='i/8 P(X=O,Y=1)= 2/5 P(X=O,Y=2)=1I8 P(X=O,Y=3)=O 1 P(X=1,Y=O)=0 P(X=1,Y=1)=1/8 P(X=1,Y=2)=2/B P(X=1,Y=3)=1/8 What happens to the expected value of X as Y increases? P(x=1|Y=o) P(X=1|Y='l) P(X=1|Y=2) P(X=1|Y=3) The expected value of X as Y increase J Choose... Choose... z Choose... Choose... Choose... 3 1/8 increases 0 2,13 218 3/8