Let S, be a variable which stands for äny 8) he elements of Hhe population 5, 9, 10 and S2 a variale which stands for any of the elements of the populartior 4,6. Compute : iv) -

Q: a 50 letter combiantion comes  from {P,Q,R,S,T,U} where  letters can be repeated  how  many 50…

A: Given The total number of combinations of letters =50 The letters are =6 P,Q,R,S,T,U The minimum…

Q: @ In a G Survey the 100 out-patient who reported at a hospital one dey, it was found out that 70…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Construct NFA for 0*1*0*0 with three states.

A: Answer:

Q: Suppose you have 6 black and 9 white t-shirts and you dont want to put black ones on top of another…

A:

Q: box contains 5 ide_ntical batter_ies. Among, 2 of th_em are “new” and work _properly, whe_reas the…

A: Let the random variable X denotes the number of batteries needed to be tested. There are 5 batteries…

Q: A six sided die numbered 1, 2, 3, 6 is rolled once. If C denotes a set of even Q.1. numbers and C2…

A:

Q: Suppose that four microchips in a production run of fifty are defective. A sample of six is to be…

A:

Q: Let A = {1, 2, 3, .. ., 12} and let p.rand q permutations on A defined by p=(2,10,11), r= (3,6,5)…

A:

Q: , Giran me qiven family of ines for b=0, I, I 3, I6

A: Graph of  y = -2x y = -2x -1 y = -2x +1 y = -2x -3 y = -2x +3 y = -2x -6 y = -2x +6

Q: Use the principle of inclusion-exclusion to determine the number of arrangements of length n, n > 3,…

A: Explanation use the principle of inclusion -exclusion to determine the number of arrangement of…

Q: The five most common words appearing in spam emails are shipping!, today!, here!,available, and…

A:

Q: Compute P(X1 + 2X2 − 2X3 > 7) if X1, X2, X3 are iid with commondistribution N(1, 4).

A:

Q: АЗ. Suppose a fair coin is flipped twice. Let A, = "Head on 1“ Toss" Az = "Head on 2nd Toss" Az =…

A: If any two events are independent in a given experiment, then those events are known as pairwise…

Q: Calculate the coefficient of x7y5zx7y5z in (x+y+z)13(x+y+z)13. (b) In her discrete math class,…

A:

Q: (3) Find the formula for the number of ways for putting n identical balls into k distinct boxes so…

A:

Q: The five most common words appearing in spam emails are shipping!, today!, here!,available, and…

A:

Q: Suppose that five microchips in a production run of thirty are defective. A sample of seven is to be…

A: suppose that 5 microchips in a production run of 30 are defective. A sample of 7 is to be selected…

Q: Suppose there were 500 nurses graduating this year. Assume that 400 were registered nurses (RN), and…

A: Let RN be the registered nurses, and H be the nurses who plan to work in hospital. From the…

Q: Suppose a, n E Z and 0 < a< n. Prove that ()- (":")- (:-) n - 1 %3D + a a а- 1 in two different…

A: Given a,n∈ℤ such that 0&lt;a&lt;n. (1) Consider:…

Q: DAREST OFFELS 5 MAIN coveses 3 TEs Of DESSETS i4 KINS Of newes-IN How MANY WAMS CAN A CUSTOMER oeDEe…

A: Given: Main course = 5 Desserts = 3 Drinks =4 We select one from each category.  Here we use…

Q: Find the following Wronskian: w(5, 51, —е-", te ") O - 25e2 O - 25e-24 O 25e2 O -2 O 2 O 25e-21

A:

Q: A1,...,A13 are thirteen different subsets of {1,2,3,4,5,6,7,8,9,10}. If each Aj has 6 elements for…

A: We are given that A1, ... , A13 are thirteen different subsets of {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.…

Q: et X ∼ Bin (n,π), and Y ∼Bin (n, 1−π). Show that P(X ≤ k) = 1 − P(Y ≤ n − k − 1)

A: PY≤n-k-1=Cn-k-1nπk+11-πn-k-1+Cn-k-2nπk+21-πn-k-2+........+C0nπn1-π0 Note that Cxn=Cn-xn. Hence we…

Q: AMong the seven nominees for two VaGancies on the city council are three Men and four women. In how…

A:

Q: 2.24 Students at a private liberal arts college are clas- sified as being freshmen, sophomores,…

A: Given: Students are classified as freshmen, sophomores, juniors and seniors. Hence, number of…

Q: Let [A1, A2. [B1, B2, C1, C2 be 3 married couples who attended a concert in Windhoek. a) In how many…

A:

Q: Consider a room with 200 people. Let X be the number of days of the year in which there are exactly…

A:

Q: Assume that n > 2 and x E A is a fixed element. How many unordered selections without repeats of k…

A: N&gt;2, X is the element A is a fixed element  How many unordered selections withouts repeats of  k…

Q: Suppose that an urn initially contains r red and b blue balls. At each stage a ball is randomly…

A: Given, number of red balls initially in urn = r number of blue balls initially in urn = b At the…

Q: Find the number of distinguishable permutations of: 6 Ds, 5 Js, and 2 Os

A: our objective is to find the no. of permutations

Q: Let PANB) = 0.3, P(AnB 0.19, and P(ACnB) = 0.27. Compute P(AnB). Multiple Choice 0.74 0.24 0.69 0.54

A: GivenP(A∩B)=0.3P(A∩Bc)=0.19P(Ac∩B)=0.27

Q: 5(a) Evaluate dr, by using 1) Sumpsom" rule W Simpsen" 3 fule.

A: Simpson's 13 rule uses the formula below to approximate an integral in an interval.…

Q: 3 In how many ways can you chocose 6 cocolakes from 10 diferent types f there are more than 6 of…

A: Since there are more than 6 of every type, except type 5, so consider the number of chocolates as…

Q: Construct a Venn Diagram for the scenario. Suppose that a total of 208 students are enrolled in a…

A: Topic:- Sets theory

Q: In 10 rolls of a fair die, let X be the number of fives rolled, let Y be the number of even numbers…

A: Given information: X = Number of five rolled Y = Number of even numbers rolled  Z = Number of odd…

Q: Suppose that a survey of 100 advertisers in U.S. News, These Times, and World found the following.…

A:

Q: Compute Weight C gms) No. of mangoe

A: Given data is Weight(in gms) 410-419 420-429 430-439 440-449 450-459 460-469 470-479 No. of…

Q: The five most common words appearing in spam emails are shipping!, today!, here!,available, and…

A: It is mentioned that 1 in every 10 messages is spam. Hence, the probability that the message is spam…

Q: Suppose there are 10 students participating in a workshop that meets every day of a five-day work…

A: Given that there are 10 students participating in a workshop that meets every day of a five-day work…

Q: Bayes' rule can be used to identify and filter spam emails and text messages.In this collection, 747…

A: Given DataP(Spam) = 0.1340P(Not spam) = 1- P(spam) = 1 - 0.1340 = 0.866P(Free) = 0.0475P(Free and…

Q: andomly selected from a

A: we have given a sample of 6 measurements was randomly selected from normally distributed population…

Q: Suppose you have 6 black and 9 white t-shirts and you dont want to put black ones on top of another…

A:

Q: er

A: To find all the permutations of the 4 objects a ,b, c, and d, taken 3 at a time.

Q: Let Up be avoriable that 8 tand foor ang f th element of the population 3, 7, 8 and Ug be a woriable…

A: It is given that Population U1 : 3, 7, 8 Population U2 : 2, 4 NOTE : According to our guidelines we…

Q: Suppose a die is cast 10 times. Let X1 be the number of terminations in the set {1, 2}, X2 be the…

A: Let us assume X1 denotes {1,2} faces show in 10 throw . The probability of that will be P(X1=1 and…

Q: 2. 20 Wnat is the loargest order of an element in Zs Ze O Z 2) Exhibit an element with this arder,

A:

Q: There are 8 standard classifications of blood type. An examination for prospective laboratory…

A:

Q: Suppose that four microchips in a production run of fifty are defective. A sample of six is to be…

A: Suppose that four microchips in a production run of fifty are defective. A sample of six is to be…

Q: Suppose a fair coin is flipped twice. Let A1 = "Head on 1ª Toss" Az = "Head on 2nd Toss" Ag =…

A: Given: A1 = Head on 1st toss A2 = Head on 2nd toss A3 = Exactly one head. Sample space = {HH, HT,…

Q: Compute 0.5x for the following set of n = 7 values. x1 = 4, x2 = 19, x3 = 18, x4 = 10, x5 = 16, x6 =…

A: Solution: From the given information, n=7 and the set of values are

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.