Question: For any random variable X, the standard deviation of X is greater than or equal to its expected value.

For any random variable X, the standard deviation of X is greater than or equal to its expected value.

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 Introduction To Probability Statistics Questions!

Q:

We are sampling from an infinite population in order to estimate the unknown mean of the random variable X. The standard deviation of the random variable X is known and equal to =10. A simple random...

Q:

6.) (6 points) Hugh buys $8000 worth of stock in an electronics company which he hopes to sell afterward at a profit. The company is developing a new laptop computer and a new desktop computer. If it...

Q:

Available online at www.sciencedirect.com Operational Research in Sustainable Development and Civil Engineering - meeting of EURO working group and 15th German-Lithuanian-Polish colloquium...

Q:

Question 2. (4 marks). The generalised mean {with exponent is? > U) of a random variable X is dened as: (we)? where E (X k} is the expected value of X k. The generalised mean generalises several...

Q:

Given a random variable X, with standard deviation X, and a random variable Y = a + bX, show that if b 0, XY = 1.

Q:

Find the variance of a random variable X having the following probability distribution . The random variable X has expected value E ( x ) = - 1.6 X P ( X x ) 41 0.6 O D . 2 4 0. 2 Your answer should...

Q:

Question 10 2 p Let f(x) = 3x2, for x in [0, 1], be the probability density function of a continuous random variable X. The standard deviation of X is approximately O 0.75 O 0.0375 O 0.0014 O 0.6 O...

Q:

1. Consider the set B represented by the following list: ['water', 'coffee', 'tea', 'milk', 'juice', 'pop']. a) Write the list as a proper set, including correct notation. (1 mark) b) Give a new set...

Q:

Let f be a probability function of a random variable X defined by f (x) = cx, RX = {1, 2, 3}. Then, the expected value of X equals (a) 76 (b)73 (c)16 (d)72 (e) 149

Q:

_ Say we have a continuous random variable X. Let x) 2 3:132 for support =[0,1]. What is the expected value of X, E(X) ? Round to the nearest 2nd decimal place, x.xx E

Q:

a. Consider three masses that you wish to add together: 3 g, 1.4 g, and 3.3 g. These numbers represent measured values. Add the numbers together and report your answer to the correct number of...

Q:

A calendar-year taxpayer acquired four new machines in 2019 on the dates shown below. Section 179 is not elected, but regular MACRS is used to depreciate the machines. The machines have a recovery...

Q:

Will your company gain or lose money if interest rates increase?

Q:

Perform the indicated matrix multiplications on a calculator, using the following matrices. For matrix A, A 2 = A A. Show that A 3 B 3 = AB. A = 2-3-5 4 1-3-4 - 1 10 5 B = 1-2-6 -3 2 20 9 C 0-3 -| 1...

Q:

2.62 Sleep and the University Student How much sleep do you get on a typical school night? A group of 10 university students were asked to report the number of hours that they slept on the previous...

Q:

2.63 Fuel Efficiency The litres per 100 km (L/100 km) for each of 20 medium-sized cars, selected from a production line during the month of March, are shown below. a. Construct a relative frequency...

Q:

2.64 Fuel Efficiency, continued Refer to Exercise 2.63. Construct a box plot for the data. Are there any outliers? Does this conclusion agree with your results in Exercise 2.63?

Q:

Bankers Training Academy (BTA) offers many different courses in a big cosmopolitan city. Most of the residents in the city are fully vaccinated after getting two doses of vaccines. Life in the region...

Q:

oncept Overviews, Exercises, Problems Saved Problem 3-11 (Static) T-Account Analysis of Cost Flows [LO3-2, LO3-3, LO3-4] Selected T-accounts of Moore Company are given below for the just completed...

Q:

In January 2, 2022, Bath Inc. (Bath) purchased an office building on a one hectare piece of land in Saskatoon for $6,000,000. An appraiser valued the land at $1,375,000. The building was eight years...