Question
LI CONTINUOUS DIST Let X be a random variable with pdf -cx, -2<x<0 f(x)={cx, 0<x<2 otherwise...
LI CONTINUOUS DIST Let X be a random variable with pdf -cx, -2<x<0 f(x)={cx, 0<x<2 otherwise where c is a constant. a. Find the value of c. b. Find the mean of X. C. Find the variance of X. d. Find P(-1 < X < 2). e. Find P(X>1/2). f. Find the third quartile.
Answers
som f(x) = 1-cx -CX -2 <x<0 } 0 <x< otherwise 10 جس x + 1 ex dx = 1 مع o + ' 3-2[** 21-2 g) -270-4)+c[+0] =4 ? Le 9-2] + 24 = 1 5) 26 +20 = 1 - uc=1 = e = // ñ ñ ñ 6) Mea Mean of x - Suges de fustaidot axt ( αχ 2 54489***)40083418] - 0 o variance of x = E(x?] - [E(x]] ² F(x) = (x0 fix) dx =L: 4 ) 4 号] [-]+ ] = + =a Volute): Ber] - fety ] : 3-(a) = = 3 | 43 P(-1<x<a): txdx leo P(x4) 42 38 發 - [15:f) third quartine (ม 3 | 31 (3) - I | | 26 11 ก า 0 - 1 42 : : 1 มา
![som f(x) = 1-cx -CX -2 <x<0 } 0 <x< otherwise 10 جس x + 1 ex dx = 1 مع o + 3-2[** 21-2 g) -270-4)+c[+0] =4 ? Le 9-2] + 24 =](http://img.homeworklib.com/questions/5ae81550-85ed-11eb-bd8c-4f028672635f.png?x-oss-process=image/resize,w_560)
![L: 4 ) 4 号] [-]+ ] = + =a Volute): Ber] - fety ] : 3-(a) = = 3 | 43 P(-1<x<a): txdx leo P(x4) 42 38 發 - [15:](http://img.homeworklib.com/questions/5b6264c0-85ed-11eb-a67e-33699327d863.png?x-oss-process=image/resize,w_560)
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