Seconds afteryou put in the code into the puzzle box, it opens up, confetti and glitterfly eyerywhere, a disco ball appears out of nowhere and you're transported into the middle of a disco party! Before you can say anything, you hear hundreds of people yell "HitP'PP'rr BIRTHDAY\"! Looking around you notice your best friend standing there with a sharp grin on their face. Around you are all the members of the secret society. You're shocked! Before you can ask questions, a birthday cake comes out of nowhere with a candle on it. Completely curious you decide to not blow out the candles, but instead you ask all the questions you have! you: So like, everyone is safe?! Fummatooma: 'r'es! We've been planning this for weeks! It was hard getting you out of the house so we had to throw a big fake jury trial just to get you out. It took so long to prep. you: But what about the strange creature? Fummatooma: Uh ! That's the latest invention of your friend from the fair =D It's a hologram that can talk! They're selling like wildfire!!! Smiling you make a wish and blow out your candles. You're about to say thank you to everyone when your friend speaks. Fummatooma: We're not done yet! We know how much you love probability so we decided to give you one last puzzle before handing oyeryour presents. You're given a piece of paper that has the following problem. If you solve it, you'll get all your birthday presents! Question 1 In order to receive all your presents, first assume thatx and '1' are two random 1urariables. Suppose \"l" is exponential with mean 319. Suppose that, when x is conditional on i" = y, it is exponential with mean y. [In other words, K itself is not exponential, but when x is conditional on 'f = y it is exponential.]: What is the correlation of}! and '1" E' [Must use random 1urariables and give at least four decimal pointsll