4. Let E = {0, 1} be an alphabet and let L C {0, 1}* be a language given in set-builder notation as = {w € {0, 1}*|w = 01x, x € {0, 1}"}. %3D Show that w = 0110 is in L.

Q: Let U= {1,2,3, . . . ,20}. Write the following sets by listing the elements in braces. (a) {xEU|8<x<…

A: The correct option is A .i.e. {9, 10, 11, 12, 13, 14, 15}

Q: Universal Set = {a, b, c, d, e} %3D Set A = {a, c, e} %3D Set B = {d, e} Set C = {a, d} Set D = {b}…

A:

Q: 1 2 3 4 2 1 3 4. n n

A:

Q: A. Compute the total number of sets (of size 5) containing exactly 2 elements from X and 3 elements…

A:

Q: Find the number of elements of the set {n/n € Z,1 <n < 1000, 2 {n and 3 {n and 5 fn and 7 {n}.

A: By using set theoretic rules you can solve the given problem as follows :

Q: 1. Consider the matrices A₁ 4 = ( 1 ) - 1 3 0 A₂ 42 = (3-2) ₁ 4₁ = ( 2² -2²), , A3 0 -2 These…

A:

Q: A survey in a local high school shows that of the 4000 students in the school, 2000 take French (F)…

A: The total number of students is 4000.2000 take French (F)3000 take Spanish (S)500 take Latin (L)1500…

Q: At the imaginary university e/UT there are 101 students in their first year at M&CS. In their first…

A: Given: Double counting Total students=101 To find: k

Q: (1) Let L₁ = {peach, apple, cherry} and L2 = {pie, cobbler, e}. List the elements of L₁L2 in…

A: Note that   is the language given that                     first we list all elements in  along with…

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.