Question: 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 /

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

Determine \(\sqrt{\operatorname{Var}(X)}\) and \(E(|X-E(X)|)\).

Step by Step Solution

★★★★★

3.34 Rating (154 Votes )

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 Probability And Stochastic Modeling Questions!

Q:

Your sales presentation must be realistic. You will be selling products (not services). Only B2B selling situations are acceptable. No B2C! presentation must be oral. 1. Prepare script for both...

Q:

Identify and explain the various ways by which brands in the following product / / service categories have been positioned: 1 . 1 . Soaps and Detergent 2 . 2 . Beer 3 . 3 . Mobile telephony 4 . 4 ....

Q:

Solve. Find exact solutions. 3 3x + 4 + 2 x - 1 = 2

Q:

GIVE TYPED WRITING SO I CAN UNDERSTAND CLEARLY. IF YOU CANNOT TYPE,PLEASE PROVIDE NEAT AND CLEAR HANDWRITING.DO NOT GIVE BLUR AND CLUMSY WRITING.IT IS HARD FOR ME TO UNDERSTAND. Kindly give accurate...

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:

19. a. Suppose the continuous random variable X has the probability density function f (20 ) = c(42 + 620), 3 ( [0, 2] otherwise for some constant c. i. What is E(X)? ii. Calculate Pr(X >> 1.5). b....

Q:

A continuous random variable ( X ) has a probability density function ( f(x) = kx^2 ) for ( 0 \leq x \leq 1 ) and ( f(x) = 0 ) elsewhere. Find the value of ( k ) and calculate the expected value of (...

Q:

Please 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. (a)...

Q:

3. (12 points) The continuous random variable X has the probability density function (PDF) fx(x) =ce for x = 0 and 0 otherwise. 1} (2 points) Find the value of the constant . 2) ( 3) (4 points) Find...

Q:

Here are data for height and weight among 10 male college students. Height (cm) Weight (kg) 159 ........................ 48 162 ........................ 50 161 ........................ 52 175...

Q:

Consder the following scenaria You sel heavy-duty ekctrik punps, used by a variety of manufacturing companies in a varety of plnts. Your price is 40,000 and has been for some time. One of your...

Q:

Each partner's initial investment in a partnership should be recorded at book value. True False

Q:

Give the z-score for a measurement from a normal distribution for the following: a. 2 standard deviation above the mean b. 2 standard deviation below the mean c. Equal to the mean d. 2.5 standard...

Q:

Using software, compute p 3 (4), p 2 (4), p 3 (10), p 5 (10), and p 8 (10) in the model of Section 3.6. Compare the results with what approximation (3.6.4) gives. Explain the result of the...

Q:

A company is advertising a product it produces. The management places an advertisement in newspapers, and a fancy advertisement on TV. The following average figures have been observed. Among 50...

Q:

Suppose that in the situation of the two-armed bandit problem in Section 2.7, you follow the strategy suggested there. (a) Show that (i) if you lose at the first time, then you will switch; (ii) if...

Q:

for private companies assets accounts on the balance sheet are listed in the order of

Q:

Assume that 90-day investments in Britain have a 6.0% annualized return and a 1.5% quarterly (90-day) return. In the U.S., 90-day investments of similar risk have a 4.0% annualized return and a 1.0%...

Q:

Sonia found a car dealership that does not require a down payment. She decided that she can pay $490.00 per month for 4 years. She will not accept a rate higher than 2%. a. What is the maximum price...