![Given the random variable X in problem ii), let V g X)X. (a) Find P(v). (b) Find Fy(v). (c) Find EIV]](http://img.homeworklib.com/questions/f05835f0-c875-11ea-91ce-f35e7c45a552.png?x-oss-process=image/resize,w_560)
Homework Answers
Answer:
ii)
The random variable X has CDF 0 x<-1, 0.2 -1s<O, 0.7 OS<1, 1 21. Fx ()...
The random variable X has CDF 0 x<-1, 0.2 -1s<O, 0.7 OS<1, 1 21. Fx () (a) Draw a graph of the CDF. (b) Write Px(x), the PMF of X. Be sure to write the value of all a from -oo to oo.
Question 6 A random variable X has cdf χ20 Plotthe cdf and identif.,(x)-1-0.2~ a) Plot the...
Question 6 A random variable X has cdf χ20 Plotthe cdf and identif.,(x)-1-0.2~ a) Plot the cdf and identify the type of the random variable. b) Find the pdf of X. c) Calculate P[-4eX<-1], P(xS2], P(X=1], Pf2-K6], and P[X>10]. d) Calculate the mean and the variance of X. If the random variable X passes through a system with the following chara cteristic function: e) f) Find the pdf of Y. Calculate the mean and the variance of Y. Good Luck
Use MATLAB to plot the cdf of X in part (a). .13. A random variable X...
Use MATLAB to plot the cdf of X in part
(a).
.13. A random variable X has cdf: for x <0 Ex(x)-11-le-a for x 0. 4 (a) Plot the cdf and identify the type of random variable. (b) Find P[X s 2], PX 0), P[X < 0], P[2< X < 6], P[X > 10
I only need help on quesiton 2. However, you need 1 to solve 2. Thanks :)...
I only need help on quesiton 2. However, you need 1 to solve 2.
Thanks :)
Q1. The random variable X has the following CDF 0 Fs(z) = 0.7, 0 z<1 (a) Draw a graph of the CDF (b) Write out the PMF of X. (c) Find out E[] (d) Find out PxIB(z), where B = {Ixl > o). what are EXIB] and VarlX1B)? Q2. Given the random variable in Q1. Let V-g(x)-지. (a) Find the PMF of V. (b)...
5. Let X be a discrete random variable with the following PMF: for x = 0...
5. Let X be a discrete random variable with the following PMF: for x = 0 Px(x)- for 1 for x = 2 0 otherwise a) Find Rx, the range of the random variable X. b) Find P(X21.5). c) Find P(0<X<2). d) Find P(X-0IX<2)
he cumulative distribution function (cdf), F(z), of a discrete ran- om variable X with pmf f(x)...
he cumulative distribution function (cdf), F(z), of a discrete ran- om variable X with pmf f(x) is defined by F(x) P(X < x). Example: Suppose the random variable X has the following probability distribution: 123 45 fx 0.3 0.15 0.05 0.2 0.3 Find the cdf for this random variable
Problem # 10, Let X be a random variable with CDF: 0 (x + 5)2/144-5 <...
Problem # 10, Let X be a random variable with CDF: 0 (x + 5)2/144-5 < x < 7 Ex (x) = X(r Find E(X], , and E[X"].
(a) Below is the CDF for a discrete random variable, X if x 1 1/2 if...
(a) Below is the CDF for a discrete random variable, X if x 1 1/2 if 1 x< 2 if 2 x 3 7/8 if 3 x 4 F(x) = 3/4 2 1 if nx <n+1. Describe the probability 2n In general, note that for any positive integer n, F(x) distribution of X by finding P(X 1), P(X = 2), P(X positive integer n, and describe an experiment that would result in this random variable X. 3), and the general...
3. (10 points) Let X be a continuous random variable with CDF for x < -1...
3. (10 points) Let X be a continuous random variable with CDF for x < -1 Fx(x) = { } (x3 +1) for -1<x<1 for x > 1 and let Y = X5 a. (4 points) Find the CDF of Y. b. (3 points) Find the PDF of Y. c. (3 points) Find E[Y]
Let X be a random variable with CDF z<0 G()=/2 0 <IS2 z>2 1 Suppose Y...
Let X be a random variable with CDF z<0 G()=/2 0 <IS2 z>2 1 Suppose Y = X2 is another random variable, find (a) P(1/2 X 3/2), (b) P(1s X< 2) (c) P(Y X) (d) P(X 2Y). (f) If Z VX, find the CDF of Z. (d) P(X+Y 3/4)
The random variable X has CDF 0 x<-1, 0.2 -1s<O, 0.7 OS<1, 1 21. Fx () (a) Draw a graph of the CDF. (b) Write Px(x), the PMF of X. Be sure to write the value of all a from -oo to oo.
Question 6 A random variable X has cdf χ20 Plotthe cdf and identif.,(x)-1-0.2~ a) Plot the cdf and identify the type of the random variable. b) Find the pdf of X. c) Calculate P[-4eX<-1], P(xS2], P(X=1], Pf2-K6], and P[X>10]. d) Calculate the mean and the variance of X. If the random variable X passes through a system with the following chara cteristic function: e) f) Find the pdf of Y. Calculate the mean and the variance of Y. Good Luck
Use MATLAB to plot the cdf of X in part
(a).
.13. A random variable X has cdf: for x <0 Ex(x)-11-le-a for x 0. 4 (a) Plot the cdf and identify the type of random variable. (b) Find P[X s 2], PX 0), P[X < 0], P[2< X < 6], P[X > 10
I only need help on quesiton 2. However, you need 1 to solve 2.
Thanks :)
Q1. The random variable X has the following CDF 0 Fs(z) = 0.7, 0 z<1 (a) Draw a graph of the CDF (b) Write out the PMF of X. (c) Find out E[] (d) Find out PxIB(z), where B = {Ixl > o). what are EXIB] and VarlX1B)? Q2. Given the random variable in Q1. Let V-g(x)-지. (a) Find the PMF of V. (b)...
5. Let X be a discrete random variable with the following PMF: for x = 0 Px(x)- for 1 for x = 2 0 otherwise a) Find Rx, the range of the random variable X. b) Find P(X21.5). c) Find P(0<X<2). d) Find P(X-0IX<2)
he cumulative distribution function (cdf), F(z), of a discrete ran- om variable X with pmf f(x) is defined by F(x) P(X < x). Example: Suppose the random variable X has the following probability distribution: 123 45 fx 0.3 0.15 0.05 0.2 0.3 Find the cdf for this random variable
Problem # 10, Let X be a random variable with CDF: 0 (x + 5)2/144-5 < x < 7 Ex (x) = X(r Find E(X], , and E[X"].
(a) Below is the CDF for a discrete random variable, X if x 1 1/2 if 1 x< 2 if 2 x 3 7/8 if 3 x 4 F(x) = 3/4 2 1 if nx <n+1. Describe the probability 2n In general, note that for any positive integer n, F(x) distribution of X by finding P(X 1), P(X = 2), P(X positive integer n, and describe an experiment that would result in this random variable X. 3), and the general...
3. (10 points) Let X be a continuous random variable with CDF for x < -1 Fx(x) = { } (x3 +1) for -1<x<1 for x > 1 and let Y = X5 a. (4 points) Find the CDF of Y. b. (3 points) Find the PDF of Y. c. (3 points) Find E[Y]
Let X be a random variable with CDF z<0 G()=/2 0 <IS2 z>2 1 Suppose Y = X2 is another random variable, find (a) P(1/2 X 3/2), (b) P(1s X< 2) (c) P(Y X) (d) P(X 2Y). (f) If Z VX, find the CDF of Z. (d) P(X+Y 3/4)
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