Let X be the temperature, measured in Celsius degrees - on an island at noon in the summertime, and let Y be the temperature – 12 hours later - at midnight on the same day. We assume that (X,Y) follows a 2-dimensional normal distribution, and E(X)=17, SD(X)=3, E(Y)=12, SD(Y)=2, and the correlation coefficient is r=0.8. How much is the conditional expected value of Y given that X=17? How much is the conditional expected value of Y given that X=20? How much is the conditional expected value of Y given that X=23? How much is the conditional standard deviation of Y given that X=17? How much is the conditional standard deviation of Y given that X=23? How much is the conditional probability P(Y<10 given that X=17)? How much is the conditional probability P(Y<10 given that X=20)? How much is the conditional probability P(Y<10 given that X=23)? How much is the conditional probability P(Y<10 given that X=14)? How much is the conditional probability P(Y<10 given that X=11)?