A continuous random variable (X) has the probability density [f(x)=2 x, 0 leq x leq 1] (1)

Question:

A continuous random variable $X$ has the probability density

\[f(x)=2 x, 0 \leq x \leq 1\]

(1) Draw the corresponding distribution function.

(2) Determine and compare the measures of variability

\[E(|X-E(X)|) \text { and } \sqrt{\operatorname{Var}(X)}\]

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Applied Probability And Stochastic Processes

ISBN: 9780367658496

2nd Edition

Authors: Frank Beichelt

See More Books

Question Posted: Apr 26, 2024 04:00 PM

See More Questions

A continuous random variable X has the following density function: a. Draw a graph of this density. Verify that the area under the density function equals 1. b. A density function such as this one is...
MUST BE CORRECT ANSWERS A small software company has the following simplified cashflow, funded by shareholders' equity of 20,000 and a bank overdraft of 5000: Invoiced money received 2 months after...
A continuous random variable X has a uniform distribution if it has a probability density function of the form (a) Show that (b) Find the mean g and variance (2 of the uniform distribution. (c) If a...
The time it takes to get a cars oil changed at Speedy Lube is distributed normally with a mean of 12 min and a standard deviation of 2 min. Compute the probability that a customer will have her or...
The increases to Work in Process-Roasting Department for Highlands Coffee Company for May 2016 as well as information concerning production are as follows: Work in process, May 1, 1,150 pounds, 40%...
A business has just completed a service job whose full cost has been calculated at 112. For the current period, the total costs (direct and indirect) are estimated at 250,000. The profit target for...
What is intermittent processing and when is it used? Contrast it with flow processing. LO.1
1. Describe what research design you would recommend for each of client. 2. For each research design you selected for the three clients, discuss why you believe your choice of design is the correct...
Read the following abstracts from two accounting research papers, and then answer the questions. Paper 1: There is an increasing acknowledgement of the limitations of cost- benefit analysis...
The lifetime $X$ of a bulb has an exponential distribution with a mean value of $E(X)=8000$ hours. Calculate the probabilities \[P(X \leq 4000), P(X>12000), \quad P(7000 \leq X <9000), \text {...
A continuous random variable $X$ has the probability density \[f(x)=\left\{\begin{array}{l} 1 / 4 \text { for } 0 \leq x \leq 2 \\ 1 / 2 \text { for } 2
Propose a mechanism for the aldol condensation of cyclohexanone. Do you expect the equilibrium to favor the reactant or the product?
A carload of Hg-ore containing grains of cinnabar (86%Hg by mass; density = 8.19 g/cm3) and grains of basalt (containing no Hg; density=2.84 g/cm3) is to be sampled and analyzed for mercury. The...
CMS reviews acute IPPS and long-term care hospital (LTCH) records for payment purposes. Documentation and coding assignment must be accurate and specific. CMS contracts with Medicare Administrative...
Problem 2. x3+2x+1 f(x) = = 5-x 8H xx (4 points) Without graphing the function, find the limits lim f(x) and lim f(x) analyt- ically and show your work. Specify if the limits are - or +. (1 point)...
For change management, answer the following questions in detail, citing some industry examples: 1. What would you do if your manager requested you change your way of working on a project? 2. What do...
1.Sony has just released a new CD recording (okay, not new because we don't buy CDS) but anyway.Here is some cost and price information: CD Disc and Packaging (material and labor) $1.75/CD...
The following data give the numbers of new cars sold at a dealership during a 20-day period. Make a box-and-whisker plot. Comment on the skewness of these data. 8 5 12 39 10 6 1 88 4 1610 7 73 5 9
An auto-parts manufacturer is considering establishing an engineering computing center. This center will be equipped with three engineering workstations each of which would cost $25,000 and have a...
Comfort Golf Products is considering whether to upgrade its equipment Managers are considering two options. Equipment manufactured by Stenback Inc. costs $1,000,000 and will last five years and have...
Weaver Corporation had the following stock issued and outstanding at January 1, Year 1: 71,000 shares of $10 par common stock. 8,500 shares of $60 par, 6 percent, noncumulative preferred stock. On...
Read the following case and then answer questions On 1 January 2016 a company purchased a machine at a cost of $3,000. Its useful life is estimated to be 10 years and then it has a residual value of...

A continuous random variable (X) has the probability density [f(x)=2 x, 0 leq x leq 1] (1)

Question:

Step by Step Answer:

Applied Probability And Stochastic Processes

Students also viewed these Business questions