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020TqiaACDECO#0) cosk)6) sink)24= 4) lag(A*x) e)vzx...

Question

020TqiaACDECO#0) cosk)6) sink)24= 4) lag(A*x) e)vzx

020 Tqia ACDECO# 0) cosk) 6) sink) 24= 4) lag(A*x) e)vzx



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$$ \left[\begin{array}{llll} 0.01 & 0.32 & 0 & 0.04 \\ -0.01 & 0 & 0 & 0.34 \\ 0 & 0.32 & -0.23 & 0.23 \\ 0.01 & 0.96 & -0.23 & 0.65 \end{array}\right] $$

In this question, we have to use technology to find the inverse of the given metrics. There is our metrics. No, we will use matrix algebra tool in order to find the inverse of these metrics. So here is a tool. This is our tool. Now we will enter the given metrics. A hell. We have entered the Cuban metrics. Now we will and the formula Hair, which is in bus. Now we will enter on compute and this is a inverse metrics. So invest matrixes, right 91.35 -8.65 zero -71.3 -0.07 -0.07, Deal 2.49 2.6 2.6 -4.35 1.37 2.69 2.69 zero -2.1. Thank you.

Lou. Today we will be determining if we have a problem destruction or a distribution today. But before doing that, we will be discussing or reviewing what a probability distribution is. And definition of probable distribution is a table or an equation that links each outcome of statistical experiment with its probability of occurrence. And, of course, the two rules that accompany that quick definition is that one all probabilities in the probability distribution must be between zero and one we can't have in negative probabilities and no probabilities. Great of the one crystal. That's not a probability anymore. And number two, some of off probabilities must evil one if we have more or less than one than were either accounting for some event more times than actually curse. Or if it's less the one them we're missing some event were missing some of our possible outcomes, and we're just not including them now. Our example for today as I will draw up now Sorry, dropping a pin is this follows. We have X, our event on top and our probability when bottom no plus where that's next. So our excess today are 20 30 40 and 50. The probabilities are 0.50 point 35 0.4 0.2. Now start with. First thing we can see is that we have no negative probabilities or any that exceed one. So we know that rule number one is followed. Now our next check will be the total of profile are probabilities. So we got to calculate that up. So point far 0.0.5 point 35 become 0.4 0.4 plus 0.20 point six. And if we add those together or total is one So number two rule number two is also followed. So now we know that the distribution went not here is indeed a probability Distribution is a table that can link each outcome of us. This experiment with the probability of occurrence for that outcome because all of the requirements were to be probability distribution are met

This problem asks us to solve for a variable X and because there are, um, two or more decimals, I'm going to remove those decimals by scaling, um, by while in this case, because they're both in the hundreds place value? Well, really, they're actually just both in the tense place value. Right, those zeros after. So I can just get whole numbers by multiplying everything here by 10. So what you'd be left with is two x plus 536 is equal to 10 x. So let's solve now for X. I would do that by subtracting two x from both sides. And if you ended up times in scaling this by 100 in the first place, you would get the same answer. You'll just I have an extra zero while solving, but, um, so you're left with eight x equals 536 not 535. Divide both sides by eight to get isolated by itself. So 536 divided by eight gives you a solution of 67. X equals 67

For this problem, we have to solve the equations there. A 0.12 expo, 0.20 times four minus X is equal to 0.6. So before we even get to solving, we actually want to turn these decimals in two whole numbers. So to do that, we're gonna have to multiply both sides of the equation by 100. So we have 100 time 0.12 x plus 100 times 0.20 times four minus x is equal to, and then 0.6 times 100 is gonna be 60 and then we have 100 times 0.12 X, which is just 12 X and then 100 times 0.20 is 20. So we have 20 times four minus X is equal to 60. So then we're gonna have to distribute the 28th of the four as well as the 20th of the negative X. So we have 12 X plus 20 times four is 80 and then 20 times negative. X is negative. 20 X is equal to 60. Then we have 12 x minus 20 x 12 x minus 20 X is gonna be negative X So you have negative eight X plus 80 is equal to 60. And then from here, we're gonna have to move our 80 to the other side because this is a two step equation. So we have to move are constants of the other side. So to do that, we're gonna subtract 80 on each side, 80 minus 80 0 So them we're left with negative. A X is equal to 60. Minus 80 is negative. 20 and the negative a X. We want to get the negative eight to the other side. Since to do that, we're gonna have to divide both sides by negative eight. Negative eight. Survived by negative eight is one. So we're left with X is equal to and then negative 20. Divided by negative eight is gonna be positive 2.5. So our solution is that X is equal to 2.5


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