We are being asked to check what out this function is a valid john density function. So in order to fight and some that me to commit you to a total integration over the function would've spread both X and y. And if the answer is because one then this function is valid joined this function now. So we're going to do our double integration by the function, and I'm just going to treat this one first. So this one first, we are going to have Tio and then know that because I'm dealing with this go to X. Why's assume a constant? So we have 0.1 and then we'll speak to exert yourselves five and then e reza bars over five x minus 0.2. Why for eggs? Well, is infinity to zero. Do away. No one you simplify the about Haven's opens 10.5 and then when access infinity, this core function goes to 01 x is zero have e minus 0.2. Why do you know why now when we strike to interview over Why then we are also going to get because this one is a constant We can just pull it out and then this is going off. So we're having infinities. There are So it's one by zero point fried and then he mine is fine too. Why away? And when you interviewed to respect you why you should be able to get 0.1 divided by 0.2. So is opened. Fight really planes one divided by men is 0.2. He's man is open too. And then value's off asses. What? Infinity and zero. So when he said If I again going to get 0.1 divided by minus this time, that's what you 0.1 and then when? Why is infinity you have in zero and one ways. So the results in inside wass When certified this one, there's notice what one? So we have been able to verify that this function is did a joint density function. Now the next questions they should be able to find Why want me t off? Why one And then I always say that this one because if they don't this defection and they do have the corresponding x. This can also be written us Why with one and then s great our coaches. So what? 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We should be there, which gets opened one divided by 05 as always there. So plans. We have one divided by men. Is there a point to? And then e man Is there a point to wife for Ed's variance? Infinity to one. And then this whole thing can also be certified at 0.1 divided by man. Is there a 0.1 now when? Why is infinity we have there? But when? Why is one? The result is what 0.1 So they want 8187 So when is certified? Cool off these you're getting minus one minus Sorry. Zero money Sorrow printed 81 eats seven. So the finances with 0.187 The next question's that China Tio Tio. It's less than you got to know why less than he called for. So just integrating X and then because this is the highest volume off. Why do you have for day and so on? Defense? Xs. What's to answer? Because they're twins. One in man. Is there a point? Five packs Money's. Is there a point? Two way the eggs away. So there's going to treat when you spend two X as we usually do first. So we should be able to get infinity falls. There are. And then when you interviewed this, our respective X the wise treat that as a constant haven't 0.1 minus 0.5. The man is open to five eggs. Money 0.2 Why? And then for exuberance from to is there do you now inside to some fight, asshole of this you have four years are 0.15 Now when X is to we have in Venice, one man is opening soon. Why anyone excesses are e and then right? No, I don't want to simplify this whole thing. So this Walton can be sent by us. For us. There are 0.1 minute So five and then this whole thing up. So e minus one Because of this one can write too. Why minus one is 0.2. Why do you want on this whole again? Can also be simplified. Us What? Um, so cause there's 0.1 0.5 and then you can say in minus one on this one because I'm trying to fact that this world and that so hee minutes or point to Why? So I'm just trying to integrate this one. Expect to why this is a constant this also constant. So, Seamus, what is their opens? One of these negatives opened five e minus one on this one. And then when we integrate this one with a sports way, we haven't won a better man. Is there a point? Inman is zero. Why? For exams to size four and a zero. So kind trying to simplify the whole of this. You should be able to get zero one's wand. But this must mend. Isn't this having 0.1? And then we have in minus one, minus one and then when? X So when y is for when you write four. When y is for having e man is opens, eat. And then when y zero we have Remember now when you use that ability to sort of find a hole off this thing He he was a Roman s one. When this one times Oh, he is of us. Want to eat minus one? The saying goes, What is there? A point 34 for this? Horton is what 0.3 beautiful. And then the last one we have been asked to find a Scottish suspected Value's off. Excellent. So I will see that the expected very which can be written that this is the same as saying integrating the function over X And why? And then what? Spain? Because we are finding expedition off exit. There's no exit and find the eggs. Do what? So what? I am trying to say that this roofing can be retired. Sort of affinities are infinity's. The 0.1 e man is er five herbs is roping two way sort of eggs. The eggs. Now I'm just trying to interview this whole thing with respect to exit this world. Him respect it. But because you consider this can be integrated by using intervention by Pat. So we have anticipation. My parts here Integration. Bye. Cuts again? Yeah. Intubation buy parts to receive the Frenchness. What in the function is you the same Jules minus two bracket. Infinite to sign, Jim. Okay, so from this France and let our u equal to X So do you in the same sort of ex. Now let's our v equals what devi 0.1 e zero point five Axeman. Is there a point to? So we should integrate this one respect to really bad at the equal to 01 and 0.5 He man is there Open fires, X man It's What? So what do you do? The whole of this one is what we must find this function by. That's because we have it years What? 0.1 point five x My name is 05 x men is 0.2 way and then advances. What infinity to the minus the integration off this one. So you have affinity to settle And then we are zero wins one Is there a 10.5 e 05 accident Is that too then ex way now When you married this one, this hoping at infinity is equals. What? Zero And then Well, it's zero when excess infinity is the one This is zero is still zero. So we turned left with this one for us to integrate this woman with respect to X So it should be this um of infinity is zero. So we have a negative time already here because of this one. So 0.10 point five on an e. Zahra 50.5. Excellent. Zero point two way the ex So, yes, Trains who interviewed this one? Infinities are trying to integrate this respect. Ex. So this and this one must by this and this woman in any cheap. You're 0.0 opens fresh. So when you going to get this one? With respect to X haven't worked times one divided by money is 0.5. And if you have eaten your opponent's five excellent zero point wife or values infinity to zero. Do what now? When you certified the whole of this, you should be able to get you mean in signs There are shy to simplify. This opens one better weapons opened fire. The thing that says what? So what? We simplified the whole of this year. Negative zero points for right now one ness is infinity. This woods in your zero and one X when x this zero year this one he is a positive. And then we have your wife. Now when we try to integrate this one space in a way, we are also getting what my name is Two hostages, Manus. Zero points for and then we have one writer make it zero point two. Maybe he is that Wasim points Why? And then for violence ofthe way to eternity. Now you try to some fat cooler is we have zero for And you know that this got us one. So two and one, Why is infinity we have? And then when? Why is what? 01? Now, when you try to simplify the whole of this formula That nonsense word too soon This petition off eggs work too. Now we are also mean us to find the expectation off. Why? In tradition ofthe why So this petition off why us? The Seamus for Earth's is what infinity for all the sins ofthe way. And then nobody's off us if the function and then time sports. Why, Mary? And why the ex? So this world can be as infinity from zero and then infinity to zero 0.1. He man is 0.1. So's opened five extra minutes. 0.2. Why the s So we have our why already Days? Why can't come anywhere. Selim, Why here? All right soon. I don't want to integrate with respect to X face. When we had with X so This is a constant. This is a constant. So they can just come out ofthe bracket like that. Why? And then when you tried to interview this one with respect to X one on man is 0.5 e 0.5 X man. Is there a point to move away for values off as being infinity to zero And then we have Do you want now when you again shy, Just simplified the whole of this one. We have infinities. There are zero opens. One way divided by men is opens five and then when x is infinity. We have this on running to zero. And when excess zero we have, he gets zero point. And now again, this is also what intervention by path. So you can also see based on what we did That letter Are you equal to Why? So do you go to? Why not let our Davey you call to this hole function that is giving you see is what we are treating. This one is a constant. So I'm not going to bother with this ones who you have So point two why? And then the same assault. One brother, Burman, is open to. Is there a point? What? So I'm just bringing this one here, So the integration is going to be so 0.1, and then when is the 0.5 and then we have June times G, which is the same sort. Why? He's opening a way from the events ofthe xB, infinity to settle. And then we have infinitive too. So and then she was get affinity zero and one on menace to 0.2 way. Why? Yeah. So now when you try to simplify the whole destiny should be able to put a 20 something destined. You're this cool thing can also destroy. Provide us, man. Is there a point to? No. When s zero when Essence. What several. Here The answers were zero in Texas. Want someone s? Why is zero? The answer is one went. Why is infinity that asses sources there Also the whole of this moon go to survive and then we have a this then that. And then when you try to into get this one we're expecting Why again? You also get one by 0.2 time zero point to man is there or why infinity too, So yeah, So when you try to some fighting, cool off this and she will get 0.2 and then when is open, too zero for two times two? Yeah, And when Why? He sorts infinity about zero and went, Why is so we have one day. So when a certified hole of this and it should be equality zero point to develop by 0.2 which is also the same US two times, which is the same as what fight? Soon there has been a spectator off. Why is also the same issue?