For a sequence of real numbers x1, x2, ... ,Xn, suppose random variable X takes on these n values with equal probability 1/n. Then the first and second moment of X are defined as follows: EX? x? EX n n The Variance of X is defined as the average value of the squared deviations from the mean: Var(X) (x; – EX)² Expand the square (x – EX)² and manipulate the summations to arrive at the following formula: Var(X) = EX² – (EX)² Show also that > (x; - EX)2 = > x,² – n(EX)² (=1 1=1

Q: this does not answer the question

A: Solution:      Going by the first law, since the observation is that the house is next to the lake,…

Q: What do the symbols mx and sx represent?

A: Introduction Statistics is a field which involves collection, arrangement and analysis of the data…

Q: 2. Which of the following simplifies to -1? А. I В. 2 c. ³ D. A

A: We have to simplify

Q: My answers of 27 and 3 were both incorrect on this.  Can you help solve the last problem?

A: Identify the M' & O'M represent the age group of age 30-49. The compliment M' includes 18-29 and…

Q: In a wooded area was 50 woodlice were captured. These were marked and released. The next day a total…

A: Given: In a wooded area was 50 woodlice were captured The next day a total of 75 woodlice were…

Q: write exact nswers, L.e., In a small town in upstate New York, a survey of 100 adult residents was…

A: The given data is as follows:Number of people subscribing to NY times, Number of people subscribing…

Q: i need help with the following question

A: Step 1: Step 2: Step 3: Step 4:

Q: Consider a linear regression model where y represents the response variable, x is a quantitative…

A: (a)   Intercept shift down by 4.3 units as d changes 0 to 1   (b)  y= 18.3 answer

Q: A survey of 100 people showed that 24 own a car, 59 own a bicycle, and 17 own both a car and a…

A:

Q: -3 dx

A:

Q: 20 fifth graders compete in a spelling bee. If there is a gold medal, silver medal, and bronze medal…

A: We have  Medals = 3 Positions = 3

Q: question d and e are noy correct.

A:

Q: Answer the question below. View the rubric linked above for help if needed. Mrs. Malone's group of…

A: Since the order of positioning for the student matters, we were going to use the concept of…

Q: One-ha!f of the class wore red and one-third of it wore biue. What part of the class wore either red…

A: let the total number of students in a class be x  Therefore the part of class who wore red is 12x…

Q: do b and c.......

A: The given differential equation b)  , c) ,

Q: A member of the Student Council decided to conduct a room visit and asked the students for their…

A: Let D=the students joined  the Debat clubC=the students signed up for the cooking clubGiven ,no.of…

Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which two or more lines meet is known as the vertex. When the lines get inclined at this point, they do form various angles. Angles are measured from the vertex in terms of degrees.