Question: Let X be a continuous random variable with the following probability density function. f(x) = 1 if 0 x < 1/2 1/3x^-3 if 1/2 x

Let X be a continuous random variable with the following probability density function.

f(x) = 1 if 0 x < 1/2 1/3x^-3 if 1/2 x 1 0 ortherwise 1. Find the cumulative distribution function (CDF) of X. 2. Find the 90th percentile of the distribution.

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!

ElAlMSIEIAZlT STATISTICS 2 SEMESTER 2 2021.002}! INDIVIDUAL ASSIGNMENT (10%) GROUP 1: Dr. Hannuun Eadiela binti Yaaeoh GROUP 2: Assoc. Prof. Dr Lao Wee Yeap SUBMISSION DATE: 12 APRIL 2022 {11.59pm}...

Fall 2023 Semester Professor Pandazis Math 241 Test 2 You have one hour to complete the exam. Each question is worth 20 points. Round decimal answers to four decimal places. 1. Prove that b(x; n, p)...

b) Let X be a continuous random variable with the following probability density function: f(x) = e-KI if x 2 0, otherwise. Find the value of K, find the cumulative distribution function of X, and...

Let X be a continuous random variable with the following probability density function: 013231 + e\"), if U S 1* E 1 0, otherwise fxfl'l = { (1) 1. Find the value of or that makes fX[.r) a valid...

Question 2: Let X be a continuous random variable with the following probability density function 312 -15150 otherwise (a) [3 pts] Check if f(x) is a legitimate probability density function. Show...

Let X be the continuous random variable having the following probability density function. a. What is the value of k? k f(x) = 1+x2' > x > - b. Determine E[X] if exists or show that E[X] does not...

Question 1 Let X be a continuous random variable with the following probability density function 05x52 elsewhere ftx) = {\"51 a) Evaluate c b) Find F(x) c) Use F(x) to nd P(1 S X S 2) Question 2 The...

24. These calculations are not on what am I missing? E Let x be a continuous random variable over [a,b] with probability density function f. Then the median of the x-values is that number m such that...

Let, X be a continuous random variable with the following probability density function: Final Examination. Spring 2022 totheruning Use the formula, Skewness 3 (Mean-Median and calculate the skewness...

Let X be a continuous random variable with the following probability density function (PDF) f(x) = 1/4x 3 if 0 x 2 0 otherwise Find the mean E(X)

B. Edwards, J. King, and N. Pegg have capital balances of $95,000, $75,000, and $60,000, respectively. They share income or loss on a 5 : 3 : 2 basis. Pegg withdraws from the partnership under each...

You buy 100 shares of stock initially selling for $60 each, on a margin of 70% ie you borrow the balance from your broker. Ignoring interest charge: a. How much of your own money do you invest? b....

possible 5 . Which type of financial data do companies generally not provide to the public?

"Your marketing plan needs a market-product grid to (a) focus your marketing efforts and (b) help you create a forecast of sales for the company. Use these steps:1Define the market segments (the rows...

7. List examples from a communication situation with a foreign person in which you have used the sauna manoeuvre (described in this chapter), and examples where you have been subjected to the...

1. To provide an understanding of how trust is established in a communication context.

2. In this chapter, the reader should reflect on the following concepts: Basic values, basic interests, position, socialization process, mental variables and norm distribution.