Letxbe a Continuous Random Variable Whose Probabilitydensity Function is f X 3x2for 0 x 1
Get the answer to your homework problem.
Try Numerade free for 7 days
Let X be a continuous random variable whose probability density function is: f(x) = x^3/4; 0<x<2a. Calculate the expected value of X. b. Find the CDf (F(x)) of X. c. What is the probability that X is greater than 0.5?
Related Question
Let $X$ be a continuous random variable with values between $A=1$ and $B=\infty,$ and with the density function $f(x)=4 x^{-5}.$ (a) Verify that $f(x)$ is a probability density function for $x \geq 1.$ (b) Find the corresponding cumulative distribution function $F(x).$ (c) Use $F(x)$ to compute $\operatorname{Pr}(1 \leq X \leq 2)$ and $\operatorname{Pr}(2 \leq X).$
Discussion
You must be signed in to discuss.
Video Transcript
in this question. Very calm that the F X is B d f. If we have now, f X will be greater. You go to the zero and the integral and a function f X The ex Romans, infinity to infinity were equal to one this question were given the function F x ico do the far expel minus five and on for the Exxon interval from one to infinity. Now, for the part I we want to verify if the FX is that that Steve function or not. So really, we see that FX here will be great then zero for own ex hair and then the next one went to find the integral off the four x four minus five the X from one to infinity. Then we can get it from ICO Jew four times the x bel minus four over minus four. From one to infinity, our can signified Uganda Manners one of the X power far here from one to infinity. It would be the infinity in Saigon zero and we wonder one gonna zero then plus 1/1 before you go to one. This one implies that the function F x is, uh PdF. And now for the part p want to find a dentist The distribution function F x here by formula Technical Julia integral from the studying 0.1 up to the X After the the tea will be 40 by minus 5. 80. Then from here we get equal to the minus one of X on the table, far evaluated from one to the X. Now, then we get Nico too. The miners, one of the expert for them plus one hour can register into the one minus one of expert for for the X on the interval from Sergio Infinity Now from the past. See, once you find a probability that the exhale between the interval from one to the to eventually go to the F from the two minus f under one and we're looking, we're gonna even with Joe ICO. June the one minus one over. Uh, Jobe 16 here and then minus one minus one in seven. Gondo, one of the one before. Then we get echoed. Vision will be zero using an echo to the 15/16. So that's gonna be the answer. Now, the next one, we have a probability that the ex hair will be greater equal to the two when we can really smaller than infinity. Therefore equal to the have infinity minus f from the to have infinity. We got echoed to the one minus one of the infinitive far minus ever to equal to one minus 1/16. This one here, equal to the one minus one. Plus that 1/16. So get equal to 1/16 here, and that's gonna be the answer.
vosspliteruning1969.blogspot.com
Source: https://www.numerade.com/ask/question/let-x-be-a-continuous-random-variable-whose-probability-density-function-is-fx-x34-0x2a-calculate-the-expected-value-of-x-b-find-the-cdf-fx-of-x-c-what-is-the-probability-that-x-is-greater-t-67834/
0 Response to "Letxbe a Continuous Random Variable Whose Probabilitydensity Function is f X 3x2for 0 x 1"
Post a Comment