Let A,B,C⊆UA,B,C⊆U and n(U)=130n(U)=130. What are the smallest and largest possible values of n(A)? Suppose B′ contains 74 elements. How many elements does B contain? Suppose 65≤n(C)≤8765≤n(C)≤87. What are the smallest and largest possible values of n(C′)?

Q: If n(A ∪ B) = 60, n(A ∩ B) = 40, and n(A) = n(B),find n(A).

A: Givenn(A∪B)=60n(A∩B)=40n(A)=n(B)To find n(A)

Q: At the end of a birthday party, the hostess wants to give away candies. She has 6 types of cookies.…

A: 6  =Total types of cookies2  = Types of cookies in a given packetThe one type of cookie is combined…

Q: Suppose that you have 6 green cards and 5 yellow cards. The cards are well shuffled. You randomly…

A: Given n(G)=6 n(Y)=5 N=11

Q: 2y-x≤1

A:

Q: Q/I A box contains 5 black balls and 5 white balls. In how many ways 5 balls can be selected from…

A:

Q: Suppose Var(X) = 32, Var(Y) = 47, and X and Y are independent. What is Var(.15X + .85Y)?

A: Given, a  and . and  are independent random variables.It is required to find the .To solve this…

Q: x>4 UX32 - Graph & Set notation

A: Inequalities are defined as the relationship between two values that are not equal or compared to…

Q: a.without restriction b. if all girls must be seated next to each other c.2 particular people must…

A: here given,  total persons available are 10  arrange all 10 in row of 10 chair

Q: A  frequently travels to 3  places   p, q and r .She   never stays in one  place more  than one day…

A:

Q: Suppose Var(X) = 88, Var(Y) = 17, and X and Y are independent. What is Var(.28X + .72Y)?

A:

Q: IfX~N(7,4), the P(15.364 ≤ (X-7)² ≤ 20.095) is

A: Given problem is :

Q: Show that if ax2 + bx + c = 0 for all x, then a = b = c =0

A: It is given that, ax2+bx+c=0 for all x,  To prove a = b = c = 0

Q: I have a bag containing 40 blue marbles and 60 red marbles. I choose 4 marbles (without replacement)…

A: Given,no.of blue marbles=40no.of red marbles=60Total no.of marbles=100

Q: A company manufacture two different types of call phone F and E , each unit of call phone S costs (D…

A: From the given information, it is required to determine the number of products companies manufacture…

Q: Suppose that a candy shop sells eight different kinds of candies: 50 cherry, 50 strawberry, 40…

A: Given that,  8 different type of candies. 50 cherry, 50 stawberry ,40 orange, 70 lemon, 30…

Q: The personnel manager of a department store estimates that if she hires n temporary salespersons for…

A: Please refer to the image below

Q: Mrs. Dronamraju has 30 tall plants. Fifteen of her plants have a height of 1.60 m and the remaining…

A:

Q: Suppose Var(X) = 43, Var(Y) = 36, and X and Y are independent. What is Var(.67X + .33Y)?

A: GivenX and Y are independentVar(X)=43Var(Y)=36

Q: I have a bag containing 40 blue marbles and 60 red marbles. I choose 4 marbles (without replacement)…

A:

Q: Suppose Var(X) = 4, Var(Y) = 78, and X and Y are independent. What is Var(.58X + .42Y)?

A: Answer: - Given, Var(X) = 4, Var(Y) = 78, and X and Y are independent.                What is…

Q: Suppose Var(X) = 71, Var(Y) = 12, and X and Y are independent. What is Var(.59X + .41Y)?

A: The objective of this question is to find the variance of the linear combination of two independent…

Q: xp áp (** + 1. y+1 x2+1,

A: Changing order calculate the integral:  ∫14∫12xy+1+xx2+1dydx=∫12∫14xy+1+xx2+1dxdy…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.