Question: Let the probability density function of a random variable X be fX(x) ={x, if1 < x <0 {cx, if0x <2 {0, otherwise (a) Find constant

Let the probability density function of a random variable X be fX(x) ={x, if1< x <0

{cx, if0x <2

{0, otherwise

(a) Find constant c.

(b) Find the cumulative distribution function F and sketch it.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

1. Let the probability density function of a random variable X be given by Find E(X2 + X). f(x)= | 1| if 0 x 2 otherwise.

Q:

EXERCISES A 1. Let the probability density function of a random variable X be given by f(x) = x-11 10 if 0 x 2 otherwise. Find E(X + X).

Q:

20. Let the probability density function of a random variable X be Show that Use this to calculate E(X) and Var(X). Then apply Chebyshevs inequality. f(x) = x 0. n!

Q:

4.. Let the probability density function (pdf) of random variable X be given by: f(x) = (2/9)*(3x - x-), for 01/,), P(x

Q:

4.. Let the probability density function (pdf) of random variable X be given by: f(x) = (2/9)*(3x - x-), for 01/,), P(x

Q:

Let the probability density function of a random variable X be Show that f(x) == e , n! x 0. P(0 11 n+1 Hint: Note that foxe dx = T(n+1)=n!. Use this to calculate E(X) and Var(X). Then...

Q:

2. Let the probability density function of a random variable X be given by Find E(X3 + 2X 7). 2x-2 if 1

Q:

please fast and correct 4.. Let the probability density function (pdf) of random variable X be given by: f(x) = (2/9)*(3x - x3). for 0 4). P(x >1/;), P(x

Q:

QUESTION 2 Consider the diagram of an electronic system, which shows the probabilities of the system components operating properly. Assume that the components of each assembly operate independently...

Q:

Let Find the c that makes f(x, y) the joint probability density function of the random variable (X, Y). f(x. y) = c(1- x)(1-y). -1

Q:

You're the CFO of the Kraknee Roller Skate Company, which sells roller skates worldwide and also builds and operates roller rinks. Some time ago Archie Speedo, the head of international marketing...

Q:

Assume that in the selection of a project, there are 4 different attributes are defined. The scores of each attributes and value ratings for the systems are as below: NO 1 2 3 4 Safety Risk...

Q:

28. Asurvey of magazine subscribers showed that 45.8% rented a car during the past 12 months for business reasons, 54% rented a car during the past 12 months for personal reasons, and 30% rented a...

Q:

Provide an strategy/ies on managing philanthropic organization? How did managing philanthropic organization started?

Q:

Food supply

Q:

What is to be achieved for the individual is based on the companys needs.

Q:

Mortality rate