Question: X is a random variable with a probability density function given by: ()=0.5 0 < <1, 1 < <3 0 a) Determine the value of

X is a random variable with a probability density function given by:

()=0.5 0<<1,

1<<3

0

a) Determine the value of to make this a valid probability density function.

b) Write out the CDF ().

c) What's the probability P(X < 2)?

d) Calculate expected value of X.

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:

Require assistance with the below math questions, please. 1) Probability, Distributions: Let X be a discrete random variable that takes values in {-2, -1, 0, 1, 2} each with the probability of ....

Q:

STAT 225 Fall 2016--Homework 4 -------DUE in class on Monday, October 31, 2016. ONLINE studentsdeadline 11:59 pm on October 31, 2016. SHOW WORK!!!!! NOTE: for any question asking you to determine a...

Q:

8. Let X be a random variable with the probability density function given by f (x) = B ex if x 0 0 elsewhere. Let Y = X if X 1 1/X if X > 1. Find the probability density function of Y .

Q:

9. Let X be a random variable with the probability density function given by Let Find the probability density function of Y . f(x) = Se- { 0 if x 0 elsewhere.

Q:

Let X be a random variable with the probability density function given by 1 f(x)=xe-kx, 0 0. (i) (ii) (iii) Tunjukkan bahawa k =dan seterusnya, camkan taburan bagi X. Show that k =and hence, identify...

Q:

Let X be a random variable with the probability density function f(x) = k*exp(x) if 0

Q:

8 If X is a random variable with a probability density function given by UIN (3 -x), 05x51 f(x) = , find: 0, elsewhere a the 0.4 quantile b the 0.85 quantile c the 70th percentile

Q:

1Question on Statistics! Please show all your work! Thanks! :) X is a random variable with a probability density function given by: fx(x) = xZ for 1 S x

Q:

Let X be a random variable with the probability density function given by f(x) = X+1 2 -1

Q:

(a) The gamma random variable X has probability density function given by f (x) =- where x > 0a>0b>0 bar(a) Derive EX(X - 1)] (4 Marks) (ii) the moment generating function, M(t) (5 Marks) Var(ax + b)...

Q:

If a company has a WACC of 7.89% today, but it is looking at investing millions of dollars on a racetrack or something like that in the near future, Do they use the WACC of 7.89%, why or why not?

Q:

Suppose a mixture contains helium and oxygen gases. If the partial pressure is the same as the partial pressure of oxygen, what do you know about the number of helium atoms compared to the number of...

Q:

How much change has there been in the global distribution of income in the last thirty years?

Q:

which statement explains why transnational corporations may be described as stateless ? They are organized on the basis of institutional shareholding.They pursue higher profits without loyalty to the...

Q:

Of what use is the statement of source inflows and use outflows of working capital? LO1

Q:

What are the major operating accounts by category analyzed in the SCF, indirect method? LO1

Q:

What are the primary items by category analyzed in the SCF, investing section? LO1