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For & continuous uniform random variable on the interval 2 to 8, what is the probability that the value the random variable takes is exactly 5? 0 a 0b . 170 c 2...

Question

For & continuous uniform random variable on the interval 2 to 8, what is the probability that the value the random variable takes is exactly 5? 0 a 0b . 170 c 200 4 1enter Answier

For & continuous uniform random variable on the interval 2 to 8, what is the probability that the value the random variable takes is exactly 5? 0 a 0 b . 17 0 c 20 0 4 1 enter Answier



Answers

A continuous random variable $X$ is said to have a uniform distribution on the interval $[a, b]$ if the PDF has the $$f(x)=\left\{\begin{array}{ll}\frac{1}{b-a}, & \text { if } a \leq x \leq b \\0, & \text { otherwise }\end{array}\right.$$ (a) Find the probability that the value of $X$ is closer to $a$ than it is to $b$ (b) Find the expected value of $X$ (c) Find the CDF of $X$

No. Here we help piece vice function. So for negative would do for or function is model. It's X divided by 10. And for that interval for fax is a googol Zeros. Now consider this thing's on Mardi Les function so he are more model A sex is it will do Negative x When nexus between Kuku Siegel and more delay Sex is a photo for the two eggs When exes between cool Asadi zero group for No I mean really used you and right in the regional accent Do now put the radio Thanks a lot here more populous X divided by 10 here now our intern release negative too negative group for So I used this underworld. So for negated to zero, our function is minus x So here for negative too little Oh, are functioning minus eight And for zero before from Sonny's ex Soviet for zero before function ese Thanks. No, you're one by Danny's constant. So they get outside And here the negative sign toe here Harry and they get you saying Xing to exceeds X square. I mean here except to exceed experience integration off X squared is extremely worried by three. I've been here X cubed, divided by three and exhibit a couple. You make minus lower limit massively. Where these we get music Or do we get by bean, which is our office in de sorts? In these correct answer. Thank you.

So here, Questioning 23. We don't need you functioning for fax. Now, as you can see here we have more sex. So make the graph. Now, as we can see here, more duo sex is equal to minus X for my ass to go Siegel And the more you know sex physically go X when access lies with me Seed or cool four. So can right here More delis. Nexus is a point minus x Texas last between getting Coop Siegel and more doula Sex is a composite directs My ex is life's dream Ciro Before now the second thing is to find expected with your meal is doing boy. And to the thanks. Yes, No Bailey off. Thanks. So are here. Which is more do sex curated by den. Now you're more beautiful. Sex is a Borgia minus x on the interweb c Cool. Sorry, Minister received, you know, minus to come. See you on more delis. X is equal Durex for seed or group four. Okay, so your ex into exceeds expert in right negative sign Here, International, Your ex queries It's cubed you edited by teen deviation Next body being X cube. You ready by now? is that you don't believe it. But you see, Roque, you do it on three minus my most true destroyed two divided by three Been your ex. Opportunities for your fork You directed by three minus divided by three. Your music would remember this one time C o que ceo loss through a list with reason for strategic Buried by 3 64 Really? But you've been here zero movies, seal on by some people. These we get O R. Probably. Sorry. Expected. William, you lease 2080. Ready by Dean. Jeez up, Sandy. Thank you.

The probability that the random variable is greater than equal to two because the integral from to to AIDS. And there's a probability density function where cheek holes while or started to eight x miners x squared over two From 2 to 8, which he calls ni over 16. And the expectation he calls the integral round 0 to 8 X times the probability density function, Which he calls 1/32 Times four x squared miners x cubed Overstreet, Which he calls a 2/3. Yeah cumulative distribution function Equals integral from 0 to Eriks. And there's a probability density function where she goes by over started to 80 miners T squared over two From 0 to X Ray trickles while over four x miners while over 64 x square

In question 22. We have a random variable. Why, that is a random number between zero and one chosen by random number generator. And it tells us that it's a uniformed distribution. So it looks something like this goes from 0 to 1, and we have a uniformed distribution. So basically, um, it's the same probability for zero as it is a number one. So the question is for a what's the probability that why is less than or equal to point 40? Well, because this is a uniformed distribution. We have the same probability throughout the entire curve, so think about the entire curve being 100%. The probability of why being 40% or less would just simply be 40% B is pretty similar, it says. What's the probability that why is less than 0.40? Well, this is actually the exact same answers 0.40 on. The reason is, is because even though we're not including four in this probability model, a single location under a curb doesn't contain any area, so we can't say that 0.4. We can't say that Red line contains any area. So whether for doing a less than or equal 2.4 or and be just strictly less than 0.4. It's the same thing regardless, and our curve is 40%. All right. See, we want to find the probability that why is between 0.1 and 0.15 or 0.77 and 0.88 so any time you see or that's telling you to add. So we basically want to do two different problems here. We want to find what's the difference between 1.15? The difference there? Because we have this uniformed distribution? Um, it's the same probabilities on the left side of the curve as it is right side the curve there are equal, Um, this represents 5%. That's just the difference between those two values. The difference between the two values on the right between 20.77 point eight eights, the same concept. Here, the difference is 0.11 So if you add those together, you get 0.16 or 16%


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