X is a random variable whose cumulative distribution function F(x) satisfies F(1) = 13, F(2) = 34, and F(3) = 1 • Make X discrete and give its probability mass function. • Make X continuous and give its probability density function.

X is a random variable whose cumulative distribution function F(x) satisfies F(1) = 13, F(2) = 34, and F(3) = 1 • Make X discrete and give its probability mass function. • Make X continuous and give its probability density function.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 25EQ

See similar textbooks

Related questions

Q: 10) Let f(x) by the probability density function of some continuous random variable. Explain why it…

A: If f(x) denotes the probability density function of some continuous random variable where x goes to…

Q: A random variable X has probability density function (x² + 2x + 4) for 0 < x < 3 f(x) = otherwise.…

Q: Suppose X is a random variable taking values in the interval [0,2] with probability density function…

Q: continuous random Variable X has probability Density function defined by f(x) = 5-5x; 0

A: Given: f(x) = 5-5x

Q: The lifetime X in hours of an clectronic tube is a random variable having a probability density…

Q: A random variable X has the probability density function f(x) = e* on it support [0,z]. What is its…

Q: A random variable X has the probability density function as f(x) = Ax(9-X2)…

A: To find the constant A, we can use 1=∫-∞∞ fx(X)dx Hence, 1=∫-∞∞ fx(x)dx =∫03Ax(9-x2)dx =∫039…

Q: If X is a random variable with probability density function 32 f (x) = for x = 0, 1, 2, 3, 4 and 5,…

A: Formula : Variance :

Q: Suppose that two continuous random variables X and Y have joint probability density function fxy =…

A: From the given information, Consider, Consider, EX=∫12xfxdx…

Q: An electronic product with n identical parts connected in parallel cannot function properly only if…

Q: f (y) = a (b– y), 0 < y < b, and 0 elsewhere. If the mean of the distribution is .2, find the values…

A: The density function of Y is given by, f(y) = a (b-y) , 0<y<b Hence, ∫0ba(b-y) dy = 1…

Q: 0, elsewhere. Find the expected value and the covariance of g(X) = 4X + 3. %3D

Q: A continuous random variable X has the probability density function f(x) = (4-x)/8, 0 ≤ x ≤ 4. Find…

A: The probability density function for a continuous random variable X is, fx=4-x8, 0≤x≤4

Q: Let x be a continuous random variable with PDF 3 x > 1 x4 fx (x) otherwise Find the mean and…

A: Given PDF is fX(x) = 3x4,x ≥ 10,otherwise

Q: The random variable X has probability density function 1 < x < 2 f(x) = otherwise. Calculate Var(4X…

Q: Q - 18 The following distribution shows the frequency distribution of weekly expenditure on foods of…

A: Here given : frequency distribution of weekly expenditure of food and no. Of students.…

Q: The probability mass function of a discrete random variable X is defined as p(x) = x/10 for x =…

Q: Let X1, X2, and X3 be independent random variables from (-1, 1). Find the probability density…

A: Probability Density Function: Probability is deals with the random…

Q: Let the probability density function of the random variable X is = {² (3) * 0 Then My(t) is f(x) = ,…

A: Given information: fx=213x, x=1,2,3,.... Formula: MXt=Eetx=∑i=1∞etxfx

Q: re x is the life length of transistor I ar . The joint probability density function 2e-(x+2) x 20, y…

A: The conditional probability is, The formula to compute density function of y is,

Q: The continuous random variable XX has a probability density function (pdf) given by Part(d) Find…

Q: The continuous random variable X has a probability density function (pdf) given by [1- x for 0 ).…

A: Given the continuous random variable X with probability density function: f(x) = 1 - 12X for…

Q: The probability density function of a continuous random variable is given by 1 1 4 f (x) = - 4 for x…

Q: Suppose that the continuous random variable X has cumulative distribution function given by F(x)=…

A: Given that, X is a continuous random variable. X has a cumulative distribution function Fx. Fx is…

Q: (x + ax², 0 < x < 1 diğer fx (x) = 0,

Q: The probability mass function for a discrete random variable X is defined as ((1+0)-(x) 0; x =…

A: Let's break down the given probability mass function (pmf) for the discrete random variable…

Q: The probability density of the random variable Z isgiven by f(z) = kze−z2for z > 00 for z F 0Find…

A: The required value is calculated as follows:

Q: If X has an exponential distribution with probability mass function Sle-Ax, f(x) = P(X = x) = {de, x…

A: Solution-: We have, The probability mass function of X is, f(x)=P(X=x)=λ*e-λ*x ;x≥0…

Q: The probability density function of the continuous random variable X defined in the set of…

Q: The continuous random variable X has the following probability density function: Ах, 0s A, 2 0,…

Q: probability density function of a random variable X is x2 for -1sxS1, and O for any other value of x…

A: Introduction : Given , a function f(x), we have asked to calculate the percentage probability P(…

Q: Suppose X and Y are two independent Uniform (0, 1) random variables. Use the cumulative distribution…

A: The random variables and are independent random variables.The random variable is defined as the…

Question

X is a random variable whose cumulative distribution function F(x) satisfies F(1) = 13, F(2) = 34, and F(3) = 1

• Make X discrete and give its probability mass function.
• Make X continuous and give its probability density function.

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Definition

VIEW

Step 2: Step by step Solution :

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 9 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Let X1, X2, and X3 be independent random variables from (-1, 1). Find the probability density function and the expected value of the random variable [X(1) + X(2)]/2.
A random variable X has the probability density function as f(x) = Ax(9-X2) 0 ≤ x ≤ 3 = 0 otherwise Find the value of A, the mean and the standard deviation of X.
Suppose that the continuous random variable X has cumulative distribution function given by F(x)= 0, if x < sqrt(2); x2-2, if sqrt(2) <= x <= sqrt(3); 1, if sqrt(3) <= x Find the probability density function of X.
The lifetime X in hours of an electronic tube is a random variable having a probability density function given by f(r) = re, I (a) Compute the expected lifetime of such a tube. (b) Compute the variance of the lifetime of such a tube. (c) Find the median lifetime m of such a tube that satisfies P(X > m) = 0.5.
A continuous random Variable X has probability Density function defined by f(x) = 5-5x; 0
The probability density function of the continuous random variable X defined in the set of non-negative real numbers is given as f(x) = 2.exp(-2x). What is the expected value of X?
10) Let f(x) by the probability density function of some continuous random variable. Explain why it must be true that f(x) dx =1.
The probability density of the random variable Z isgiven by f(z) = kze−z2for z > 00 for z F 0Find k and draw the graph of this probability density.
The continuous random variable X has a probability density function (pdf) given by [1- x for 0 ). Give your answer as a decimal, correct to 2 decimal places. Part(f) Find the value of c correct to 2 decimal places given that E(X+c) = 4E(cX).
If probability density function of a random varíable X is f(x) = x² for –1SXS1, and %3D O for any other value of x %3D is then, the percentage probabilityP
Let X be a continuous random variable with PDF 3 x > 1 x4 fx(x) = otherwise Find the mean and variance of x.
An electronic product with n identical parts connected in parallel cannot function properly only if all parts fail. The random variable X denotes the lifespan of each part. The probability density function of X is given by f(x; 0) 21(0,0)(x). (1) Find the probability density function of the lifespan of this product, which is denoted by Y. (2) Show that Y is a consistent estimator of 0. (3) Find the most likelihood estimator of 0.