![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](http://img.homeworklib.com/questions/a20f1300-715a-11ea-bc66-6fd2f293d7d5.png?x-oss-process=image/resize,w_560)
Homework Answers
Add Answer to:
Question 6 A random variable X has cdf χ20 Plotthe cdf and identif.,(x)-1-0.2~ a) Plot the...
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
A random variable X is U (a, b) with mean 1 and variance 3. Find and...
A random variable X is U (a, b) with mean 1 and variance 3. Find and sketch the CDF and the pdf of Y = [X]. Clearly identify the range of Y.
The random variable X has CDF 0 <-1, Ex(x) = 0.2 -1 < 0, 0.7 0...
The random variable X has CDF 0 <-1, Ex(x) = 0.2 -1 < 0, 0.7 0 x<1, 1 21. (a) Draw a graph of the CDF (b) Write Px(), the PMF of X. Be sure to write the value of Px(a) for all r from-oo to oo. Given the random variable X in problem ii), let V g X)X. (a) Find P(v). (b) Find Fy(v). (c) Find EIV]
Problem 3: The length of time to failure (in hundreds of hours) for a transistor is a random variable X with the CDF given below: 2 F(x)lTe; x20 (a) Plot the CDF by hand. (b) Derive the pdf of this r...
Problem 3: The length of time to failure (in hundreds of hours) for a transistor is a random variable X with the CDF given below: 2 F(x)lTe; x20 (a) Plot the CDF by hand. (b) Derive the pdf of this random variable. (c) Compute the P(Xs0.4) 0; x<0 (d) Compute the probability that a randomly selected transistor operates for at least 200 hours.
Problem 3: The length of time to failure (in hundreds of hours) for a transistor is a...
Additional Problem 3. If X is a continuous random variable having cdf F, then its median...
Additional Problem 3. If X is a continuous random variable having cdf F, then its median is defined as that value of m for which F(m) = 0.5. Find the median for random variables with the following density functions (a) f(r)-e*, x > 0 (c) f(x) 6r(1-x), 1. Additional Problem 6. Let X be a continuous random variable with pdf (a) Compute E(X), the mean of X (b) Compute Var(X), the variance of X. (c) Find an expression for Fx(r),...
(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...
6. Consider a random variable X with pdf given by 0 elsewhere. (a) What is c?...
6. Consider a random variable X with pdf given by 0 elsewhere. (a) What is c? Plot the pdf. (b) Plot the cdf of X. Find P(X 0.5< 0.3).
2X x 20 5 pt. a. Find the cdf and pdf of Y in terms of...
2X x 20 5 pt. a. Find the cdf and pdf of Y in terms of the cdf and pdf of X. of Y when X is a Gaussian random variable with zero mean and variance-4
For a random variable X with cumulative distribution function (cdf) Fx(x) = 1- (2/x)^2 ,x>2. (a).Find...
For a random variable X with cumulative distribution function (cdf) Fx(x) = 1- (2/x)^2 ,x>2. (a).Find the pdf fX(x). (b).Consider the random variable Y = X^2. Find the pdf of Y, fY (y).
1. Let X be a random variable with pdf f(x )-, 0 < x < 2-...
1. Let X be a random variable with pdf f(x )-, 0 < x < 2- a) Find the cdf F(x) b) Find the mean ofX.v c) Find the variance of X. d) Find F (1.75) e) Find PG < x < +' f) Find P(X> 1). g) Find the 40th percentile.*
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
A random variable X is U (a, b) with mean 1 and variance 3. Find and sketch the CDF and the pdf of Y = [X]. Clearly identify the range of Y.
The random variable X has CDF 0 <-1, Ex(x) = 0.2 -1 < 0, 0.7 0 x<1, 1 21. (a) Draw a graph of the CDF (b) Write Px(), the PMF of X. Be sure to write the value of Px(a) for all r from-oo to oo. Given the random variable X in problem ii), let V g X)X. (a) Find P(v). (b) Find Fy(v). (c) Find EIV]
Problem 3: The length of time to failure (in hundreds of hours) for a transistor is a random variable X with the CDF given below: 2 F(x)lTe; x20 (a) Plot the CDF by hand. (b) Derive the pdf of this random variable. (c) Compute the P(Xs0.4) 0; x<0 (d) Compute the probability that a randomly selected transistor operates for at least 200 hours.
Problem 3: The length of time to failure (in hundreds of hours) for a transistor is a...
Additional Problem 3. If X is a continuous random variable having cdf F, then its median is defined as that value of m for which F(m) = 0.5. Find the median for random variables with the following density functions (a) f(r)-e*, x > 0 (c) f(x) 6r(1-x), 1. Additional Problem 6. Let X be a continuous random variable with pdf (a) Compute E(X), the mean of X (b) Compute Var(X), the variance of X. (c) Find an expression for Fx(r),...
(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...
6. Consider a random variable X with pdf given by 0 elsewhere. (a) What is c? Plot the pdf. (b) Plot the cdf of X. Find P(X 0.5< 0.3).
2X x 20 5 pt. a. Find the cdf and pdf of Y in terms of the cdf and pdf of X. of Y when X is a Gaussian random variable with zero mean and variance-4
1. Let X be a random variable with pdf f(x )-, 0 < x < 2- a) Find the cdf F(x) b) Find the mean ofX.v c) Find the variance of X. d) Find F (1.75) e) Find PG < x < +' f) Find P(X> 1). g) Find the 40th percentile.*
Most questions answered within 3 hours.
-
A string of mass m and length L is under tension T. The speed of
a...
asked 1 minute ago -
Look at the descriptions of high sensation seekers in your book.
They look like they would...
asked 1 minute ago -
Write a method called is1to1 that accepts a map whose keys and
values are strings as...
asked 2 minutes ago -
In a study of self-medication, a simple random sample of 1230
adults completed a survey. The...
asked 12 minutes ago -
You ride a bicycle around on a circular track while
accelerating. The circle has a radius...
asked 9 minutes ago -
I am looking help with these 5 Questions, can you help me,
please
1) Ruth Hu...
asked 17 minutes ago -
Find the center of mass of the Eath-moon
system given:
Radius of Earth = 6.37x10^6
Radius...
asked 38 minutes ago -
Using the definition and measurement of GDP as a guide,
evaluate how the use of fiscal...
asked 21 minutes ago -
An overly optimistic sales budget may result in
a. increases in selling prices late in the...
asked 20 minutes ago -
Write a brief essay (300-500 words) that describes how a
country's economic growth can be measured...
asked 42 minutes ago -
16. For the following two
scenarios, describe whether the implied demand uncertainty would
increase, decrease or...
asked 35 minutes ago -
Calculate ΔE, if a system releases 66.3 kJof heat to its
surroundings while the surroundings do...
asked 37 minutes ago