Find the cumulative distribution function F(x) of the random variable X .

Q: A random Variable X has the following cumulative distribution function: x ≤ 1 1 a 0, Fx(x)=3-3x,…

A: Given,FX(x)=0; x≤13-3x; 1<x≤a1; x>a

Q: The cumulative distribution function of the continuous random variable X is given by: img…

A:

Q: Figure 1 shows the piecewise function (I), (II), (III) and (IV) for cumulative distribution function…

A: We have to construct the probability density function f(x)

Q: The marginal distributions of two random variables X and Y, together with some values of their joint…

A: Solution-: We have following table:   Y=1 Y=2 Y=3 Total X=1 - 0.08 - 0.20 X=2 - 0.32 - 0.80…

Q: The cumulative distribution function of the continuous random variable X is given by: F(x)={0 if…

A:

Q: The probability distribution of X, the number of imperfections per 10 meters of a synthetic fabric…

A: From the given information, x f(x) 0 0.41 1 0.37 2 0.16 3 0.05 4 0.01

Q: The probability distribution of X, the number of imperfections per 10 meters of a synthetic fabric…

A: The first option "A" is correct.

Q: Calcule: P(X≤13)=? P(X>36)=? P(0.31≤X≤

A:

Q: Let X be a continuous random variable with cumulative distribution function I 27. Fx(1) =

A: 5. From the given information, Fx=0,      x<1x3-12, 1≤x≤271            x>27 Consider, fx=ddxFx…

Q: 5 Let X be a continuous random variable with cumulative distribution function x 27. Fx(x) =

A: c) Consider, PY≤y=PX3≤y              =PX≤y3              =FXy3              =y33-12, 1≤y3≤27…

Q: Suppose we have a random variable Y where the probability function (or probability mass function) is

A: Given probability mass function, fy=10!y!10-y!4y610-y1010     =10y4y6106-y10y1010*10y…

Q: Find the cumulative distribution function of X

A: For a≤0, F(a)=0 For a>0…

Q: Find the expected value of x

A: Expectation is a concept in probability. It is similar to mean.

Q: What is a cumulative distribution function, and how is it related to the corresponding probability…

A: CUMULATIVE DISTRIBUTION FUNCTION →The cumulative distribution function is the probability that a…

Q: The waiting time T at a store counter is a random variable with exponential probability density. If…

A:

Q: Mean of the discrete random variable is the __ of probability mass function

A: Mean of the discrete random variable is the __ of probability mass function We have to fill the…

Q: x < 0 0 < x < 1 F (x) 3x 2 1

A: Let x be the Continuous random variable having cumulative distribution function F(x)

Q: P(X≤1/8)= ? P(X>5/6)= ? P(0.14≤X≤0.46)= ?

A:

Q: Let X be a continuous random variable with cumulative distribution function X < 0 x3 0 < x < 3 27…

A: Given,   P(X&gt;3)=?

Q: Suppose that the cumulative distribution function of the random variable X: x<-2 F(x)= {0.25x + 0.5…

A: Given : The cumulative distribution function of the random variable X is :  F(x) = 0,  x&lt;-2…

Q: c. Let X be a continuous random variable with the cumulative distribution function: if x < 0 1 if 0…

A:

Q: What is meant by the cumulative distribution function?

A: The cumulative distribution function of a random variable X is the probability that the random X is…

Q: A continuous random variable Y has cumulative distribution function (cdf)

A: Given information: Fy=y2 Consider, fy=ddyFy     =2y

Q: x < 0 0 < x < 2 2 F (x) = 3x 8 2 1 2 < x

A: The cumulative distribution function of the continuous random variable X is given by F(x)  is a…

Q: Let X be a discrete random variable with the following cumulative distribution function x<0 F) =…

A:

Q: Derive the expected value of Y? Suppose that a random variable Y is uniformly distributed on an…

A:

Q: The continuous random variable X has a cumulative distribution function F(x) given by: x 2. Find…

A: The probability distribution function is the derivative of the cumulative distribution function.

Q: Find Cumulative Distribution Function (cdf) of X, F(x), x {0, 1, 2,...}

A: The cumulative distribution function is: F(a)=∑x=0ac13x=c∑x=0a13x=c1301-13a1-13=c(1)1-13a23=3c21-13a…

Q: :Let X be a continuous random variable with distribution Kif f(x)= { 0≤x≤8 elsewhere 1. Find P (2 ≤…

A: f(x)  = 1/8  if 0&lt;=x &lt;=8,  0 otherwise

Q: A cumulative distribution function can be used to find the probability mass function of a discrete…

A:

Q: 1. Determine the constant c so that the function p(x) = 0(x) defines the probability den- sity for a…

A: From the given information, px=φxcx2+x6      =cx2+x6, x&gt;0 Condition for valid density function is…

Q: Determine the cumulative distribution function for the random variable with the probability density…

A:

Q: . The cumulative distribution function F of a discrete random variable X is given by Find the…

A: Introduction: If the cumulative distribution function (cdf), F (x) of a discrete random variable, X…

Q: The probability distribution of the discrete random variable X is 3-x x = 0,1,2,3. .4, Find the…

A: Solution-: We have the p.m.f. of X is given by,  f(x)=3x*(14)x*(34)3-x f  ;  x=0,1,2,3;   We find…

Q: The cumulative distribution function of random vartable X is x 1. Fx (x) = 1 Find: P(Xs1)And P(X=1)

A: P(X≤1)=FX(1)=1 [from the last row of the function]

Q: What is the P(-1 SYS 2)? Find the cumulative distribution function of

A:

Q: Determine the distribution of the random variable X and sketch its graph. for x € (-00, -1) for r€…

A: We want to find random variable and sketch the graph.

Q: Determine the  probabilityof x is any value from 3/2 to 2? The cumulative distribution function for…

A: It is an important part of statistics. It is widely used.

Q: Consider the cumulative distribution function of the random variable X is (attached):   Find P…

A: Given function is the cumulative function. To Calculate probability, first we've to find out…

Q: Suppose that the cumulative distribution function of the random variable X: [o F(x) = {0.25x +0.5…

A: We have given that,  Let X be random variable from cumulative distribution.  Then,  We will find the…

Q: Let X and Y denote two discrete random variables taking the values in x and y respectively. The…

A: We have given that, Let X and Y denote two discrete random variables taking the values in x and y…

Q: Given the joint cumulative distribution function of the variables X and Y, F(x,y). X

A: From the given information, The joint probability mass function of (X, Y) is,   Y|X -∞ 1 2 3…

Q: Let X be the discrete random variable with the following probability mass function: x0 1 | 2 | 3 0.5…

A: From the given probability mass function we find the cumulative distribution function F(2)

Q: c) Let X be the random variable with the cumulative probability distribution: x < 0 F(x) = {₁ - e-²x…

A:

Q: Obtain the maximum likelihood estimate 0 of for the probability distribution.

A: Answer: For the given data,

Q: Find the expected value of X

A:

Q: The cumulative distribution function for a random variable X is given by: e* for x20 F(x)= otherwise…

A: Solution: The cumulative distribution function of random variable X is  F(x)=P(X≤x)=1-e-2x…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.