The members of a population have been numbered 1-50. A sample of size 20 is to be taken from the population, using cluster sampling. The clusters are of equal size 10, where cluster #1 consists of the members of the population numbered 1-10, cluster #2 consists of the members of the population numbered 11-20, and so forth. a. What are the clusters taken from the population? b. Suppose that clusters #1 and #3 are selected from the clusters determined in part (a). What is the sample? .. a. Which of the following represent the clusters? O A. 1-10, 11-20, 21-40, 41-50 O B. 1-5, 6-10, 11-15, 16–20, 21-25, 26–30, 31-35, 36-40, 41–45, 46-50 OC. 1-20, 21-40, 41-50 O D. 1-10, 11-20, 21-30, 31-40, 41-50 O E. 1-10, 11-20, 21-30, 31-50 b. List all the members of the sample if clusters #1 and #3 are selected. (Use a comma to separate answers as needed.)

Q: 3 -4- -0- 4. 2.

A:

Q: 3y² - 2y-1 (-)-5y²- 2y +6

A:

Q: 5(18)

A: To find5(18)

Q: 2 3 3 4 6 8

A: The mean is computed below.   Aptitude score(x) Frequency(f) x*f 0 4 0 1 2 2 2 3 6 3 0 0…

Q: 2) 36³x=¹

A:

Q: 6.5+ 4

A: To simplify given

Q: +–3m+–9m+4+5+–10m

A: The expression is given as 1+–3m+–9m+4+5+–10m. Simplifying the given expression. 1+–3m+–9m+4+5+–10m…

Q: 4. Expand and simplify (2x + 3)*

A: We have to expand and simplify the following expression: . We will apply the binomial theorem to…

Q: 4(5+6)=

A: Given: 4(5+6)=

Q: d. 1 3a+18 = 1 - 8 a+6

A:

Q: (n + 4)3 =

A: Given query is to expand (n+4)3

Q: 18(9+7)+3

A: 18(9+7)+3

Q: 4 10

A: Given: The figure,

Q: expand (x+y)6

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.