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Question 3Random variable X has the following probability function:fl) = / -/3/4 for 0 <* < 2Fina E(1/X)....

Question

Question 3Random variable X has the following probability function:fl) = / -/3/4 for 0 <* < 2Fina E(1/X).

Question 3 Random variable X has the following probability function: fl) = / -/3/4 for 0 <* < 2 Fina E(1/X).



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Let $X$ be a random variable with the following probability distribution: \begin{tabular}{c|ccc} $x$ & -2 & 3 & 5 \\ \hline$f(x)$ & 0.3 & 0.3 & 0.4 \end{tabular} Find the standard deviation of $X$.

Mhm. The probability that the random variable Is greater than or equal to two Equals the probability that it equals two Plus the probability that it was three plus the probability that it calls for and they're psychos point to first point to plus point to Rich People's .6. Be careful and its expectation. He calls the son of the value of the outside times. Its probability, Which he goes one times .4 plus joe times point to Plus three times point to Plus four times point to okay. And this equals 0.4 plus 0.4 plus 0.6 plus 0.8 where she goes two points to

Mhm. The probability That the random variable is greater than or equal to two Equals the probability that it equals to plus the probability that it equals three plus the probability that it equals four And this equals .05, 1.05 Plus zero Robot, Their vehicles .1 thought, and the expectation echoes the sun of the value of X I times its probability metric, als zero times 00.7 Plus one times .15 plus two points times 0.5 plus three times 30.5 and plus four times 40.5 Hence their sickles, points 15 last 0.1 Plus .15 plus point to Which vehicles .6.

So this question were given exa normally distributed random variable with mean zero and standard diminishment .75 and we're asked to find the probability is indicated, so he's driven to transform X into our standard normal random variable x minus mean over standard deviation. We're going to apply this transformation to X. So part day we basically have probably TZ is between -5.36 95.0933. Now we know, call it easy, less than 5.0933 is one. Probably easy, less than -5.360. So the probability here is one. Our theme for asked for the probability that looks is more than 4.11, which is the same as probably to Z. more than 5.48, That is 1- authorities, Z And minus the probability of c less than 5.4 ft. That here is zero Less than frequent, courageous one. So the answer here is zero.

Be twice function. No expected. Will you issue on by music Waldo Indignation off Xingwei for X d. X on the interval is had to be so here one interval 0 to 2 on Inderal deductible. What function is X cube to get it back? No. So here we have returned X cubed, divided by well and for excess greater than two which is to do in finance for that in that interval or function is 16 dreaded by three excuse. So here we have returned 16 Directed by three X cube Now here one by toe, one bite release constants What I get outside next group multiplied by exes Next is to four again here 16 divided by three is constant So take it outside So excavated by ex cubits says to mine a stoop No integration Off express to five becomes excess to firebomb and indignation Excess to minus two e's expressed to minus one divided by minus one. Now here, fi, it's constant So well, my dear verifies 60 on negative one over here So here put the do sign becomes negative here now exhibit a Parliament My next lord Let me so the Arabella Mary's two and zero. So here to minus Cyril and here, over to its limits. And lord limits are in finite too. In financially, too severe in finite, minus two in front of these two minus one is zero olestra. Minus one is 0.5 Seriousness. To fight zero and to rest. If I was 22 by simply by this forget or musical do 16 divided by fight, that is our main value. So, um, you started 2.2. No variances going by in deposition. Off exploring to f X minus new square. No other injuries. 40 to go. Our function is X cubed, divided by grin. And for Drago in finance, more function is 16. Divided by three x squared. No, Theo, Value off the mu is three point to here. So you're a muse Square Sold three point Blue Square again. You're one bad really is constant. So take it outside. Crew plus three. They were good. Fly here, explode and go fix. Now then here 16 divided by three is constantly So take it outside to minus two sort of two ministries minus one. Deeper truths very least 10.24. No integration off excess to FIEs expressed to six divided by thanks. I ne intuition off one by x 36 years to minus one News Atlantic CE, which is an editor logarithms now play up our limit minus lord limits. So here to minus Siegel here and here is in finance minus two. Now, as you can see here, log off in pine eighties in Fine. It's over here. Limited diet orgies. Sore aliens doesn't like these now. Standard devious Indies. You in Life Square report. Very in. So here, aliens variances invented So again here. Standard devious litigation news Tom Davis, and does not exist. Thank you.


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