Question: Suppose that a random variable Y has a probability density function given by f(y) = { 3/y^4 , if Y 1 and 0, if Y

Suppose that a random variable Y has a probability density function given by

f(y) = { 3/y^4 , if Y 1 and

0, if Y< 1}

(i) Determine the distribution function F(y) = P(Y y).

(ii) Calculate the 95th percentile of the distribution. Determine the value of 4 such that P(Y a) = 0.95.

(iii) Calculate the mean, E[Y], and variance, ;[V] of Y

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:

6.2 Suppose a random variable X has a probability density function given by f (x) = e kx (1 - x) 0 x 1 0 elsewhere a Find the value of k that makes this a probability density function. b Find P...

Q:

Suppose that a random variable X has a probability density function given by X foo = {ICIET x > 0 0 o.w. 0 Can you recognize this distribution? Find the value of k that makes x) a valid density...

Q:

Suppose that a random variable $Y$ has a probability density function given by $$ f(y)=\left\{\begin{array}{ll} ky^3e^{-y/2}, & y>0\\ 0, & \textrm{elsewhere} \end{array} ight. $$ (a). Find the value...

Q:

Suppose that a random variable Y has a probability density function given by ky e-y/2, y > 0, f()) = 0 elsewhere.\f

Q:

Suppose that a random variable X has a probability density function given by x2 0 Suppose that a random variable X has a probability density function given by x 2 3 f Compute the mean E (X) Find the...

Q:

A random variable X has the probability density function given by f(x ) = 1/4, -2 A random variable X has the probability density function given by f (x ) = 1/4, -2

Q:

Suppose that a random variable X has a probability density function given by f(x)= = Scxe, x>0 10, elsewhere. Find the constant c Solution 3. We recognize the gamma distribution with parameters a = 4...

Q:

(1 point) The continuous random variable, X, has the probability density function given below. f (2) = 0.125x - 0.375 for 3

Q:

\fPlease remember to start each question on a new page. 2. (6 points) Below are two improper integrals. If the integral is divergent, Show that it is divergent. If it is not divergent, evaluate it....

Q:

19. a. Suppose the continuous random variable X has the probability density function f (20) = 3 c(4x2 + 62), x E [0, 2] 0 , otherwise for some constant c. i. What is E(X)? ii. Calculate Pr(X > 1.5)....

Q:

The 1990s generated for the United States the longest prosperity phase of the twentieth century. What explains it? How did the economy fare in the first years of the twenty-first century?

Q:

Refer to Ciscos balance sheet and Note 4 for information relating to purchased intangible assets. i. What percentage of total assets consists of purchased intangible assets, net, at July 27, 2013? At...

Q:

Which of the following is true regarding the risk - free interest rate? Question content area bottom Part 1 A . It is the lowest possible return on any investment with the same maturity B . It is the...

Q:

Which of these has the broadest scope and is the most costly to implement? A.) MRP II B.) No answer text provided. C.) MRP D.) ERP

Q:

The background knowledge of the interpreter

Q:

The expert rule: We have more confidence in information presented by someone who is an expert in the field than by someone who is not.

Q:

How easy the information is to remember