@3) IF 3 books are picked vandomly from ashelf Containin 4 Engg. books , 3 physis ,1 dictionany book, what is the prob. that a) the dictionary book is Selected? b) Two Eng7. books and one physics book?

Q: Give a contrapositive proof: For every 2D table of blue and gray pebbles, if the total number of…

A: Here, we will be giving the contrapositive proof of the below statement. Statement: For every 2D…

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: How many strings of length two can be formed by using the letters A, B, C, D E and F without…

A: Given letters, A, B, C, D, E, F We have to find number of strings of length two

Q: I lost my notes for solving this sample question for an upcoming exam. Some help reviewing would be…

A: The total number of board of directors = 10.The officers need to be appointed = 3 (chief Executive…

Q: The results of an interview of 200 students indicate that 107 like GE Math; 112 like GE Arts; 94…

A: Here Total = 200 29 do not like any subject. So now total = 171 It can be solved by venn diagram…

Q: In how many ways can you orient the letters in the word "APPLICATION" such that A's don't sit next…

A: consider in 'APPLICATION " two A's sit together . in 'APPLICATION " n(A)=2, n(P)=2 n(L)=1 n(I)=2…

Q: Ok Find the Foulier Soties af the funck en fom -1

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Q: Juppose that the Mumber On ole det Bively by ogas for all nz2. Show that Oh= 2 +3( recu true for…

A: true

Q: 15, If neZ, then nº +3n +4 is even. (Try cases.) ho bn 6. If two integono

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Q: 13 Answer 1, 2, 3

A: 1. Given,              y=x3

Q: 2. Assign Hermit's interpokting tolynomial by The fallowingy da ta:

A: The Hermite's interpolation polynomial is H(x)=∑ui(x)⋅yi+∑vi(x)⋅yi'. Here…

Q: O what are tme cdas trat the first AwD cars to ue will ve a Tayuta and a Bmw, in trat order?

A: here given data of cars 25 cars in a california breakdown makes and given table represent the data

Q: 2,2 and write tte answers in the comepute form of atib s 2.

A: Since you have posted a question with multiple sub parts we will solve first three sub parts for…

Q: In how may ways Can including 'tuo' shelf the Eaghsh broks together beoks Englsh Such on be ananged…

A: Total number of books are 8. Number of English books are 2

Q: If ALTU = ASBP then TU [?1 Enter the letters that belong in the green box.

A:

Q: Write a tuo column proof for the followinS 16iveriRSEUT and RTE 1s Prove: ARSTEATS IT

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Q: The Reverend minister of a church always insist that every member shake hands with every other…

A: Given: Number of person is, n=90. Number of times required handshake is 1 time. The objective is…

Q: 1. Out of 120 people, it was found that 50 like pasta, 42 like pizza, 39 like burger , 21 like pasta…

A:

Q: Assume that the committee consists of 13 members including Bill. The same three offices are to be…

A: Given, Assume that the committee consists of 13 members including Bill. The same three offices are…

Q: Assume that A={A,B,C} and B={5,4,1,9,6} A code consists of 2 different symbols selected from X…

A: Given: Assuming X={A,B,C} and Y={5,4,1,9,6}. A code consists of 2 different symbols selected from X…

Q: = (-10,6, –4) be in R and a be in R. Then , 36 , Let x ат — ).

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Q: Show your work and justify. In how many ways can we order a deck of 52 playing cards so that no two…

A:

Q: 2. Show that 1 2 = (1 - )( - )(? y)

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Q: How many funcei ons F{,2,3,4is}→ {l,2,3} are ehere eien er FCI)=1, F(2) 2, f (3) =3? or

A: To find the number of function f such that either f(1)=1 ,f(2)=2 or f(3)=3 .

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

A: The number of white t-shirts=9 The number of black t-shirts=6

Q: so the S and T remain next to each other (though not necessarily in that order, so ST or TS are both…

A: Consider as S and T as one letter. So now the total number of English alphabet which needed to…

Q: How many subsets of set S = {1, 2, 3, 4, 6} do not contain odd numbers? Use bijection to solve this…

A: Solution S={1,2,3,4,6}

Q: --to-one o? [ Se

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Q: Assume that the committee consists of 11 members including Cecil. The same three offices are to be…

A: n = 11 members positions = 3 Problem can be solved using the concept of permutation and combination.

Q: 3) iF 3 books are picked vandomlj fron ashelf Contaning 4 Engg.books, 3 physis,1 dictionary book,…

A: Given,no.of engg.books=4no.of physics books=3no.of dictionary books=1total no.of books=8

Q: Supplemer 5) 90° Supplement of 90° = %3D B) State whether the given pairs are supples 1) 24°, 156°

A: We have to find the supplement of 90°  And state whether the Given pairs are supplement. 24° , 156°

Q: For some particular website, the password must start with one of the letters W, X, Y, or Z. Then…

A: As the English alphabet has 26 letters from A to Z, and there are 10 digits from 0 through 9, total…

Q: a)How many four letter words including non-sense word can be formed from the word "BEAUTIFUL" if…

A: Given that  Word -   " BEAUTIFUL' Total alphabets in word = 9 Vowels = E , A , U , I , U = 5 vowels…

Q: How many nonsense words of 3 letters can be formed from the letters c, d, e, f and g if a.…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: Set A contains 6 elements, set B contains 12 elements, and 4 elements are common to sets A and B.…

A: Set A contains 6 elements, set B contains 12 elements, and 4 elements are common to sets A and B.…

Q: Prove: 4 x,,x2x, ER, then |x, +x, +.. + x,| s |x,|+|x,|+... + |x,|

A:

Q: 8. There are three places P, Q and R such that 3 roads connects P and Q and 4 roads connects Q and…

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Q: In (R, Tu), if A = (1,3) n (Q – Z) then - - A =

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Q: How many strings of eight uppercase English letters are there that start and end with X, if letters…

A: In English Alphabet we have 26 letters. We have to make a string of 8 uppercase English Letters.…

Q: Assume that X={A,F,H,D,C} and Y={5,9,4,2,3}. A code consists of 4 different symbols selected from X…

A:

Q: A string that contains only Os, 1s, and 2s is called a ternary string. How many ternary strings of…

A: Multiplication Principle:Suppose that we perform r experiments such that the kth experiment has nk…

Q: A number like 12,321 is called a palindrome because it reads the same backwards as forwards. Answer…

A: A number like 12,321 is called a palindrome because it reads the same backwards as forwards.

Q: Examine the proof that follows. What is statement 67 Given: EBD LECB andm ¿ECB = 45° Prove: LABE…

A: Given that: ∠EBD≅∠ECB and ∠ECB=45°

Q: Compute the first 5 Legendre polynomi als , ..., L, (x), (These Solutions, P,x) , where n is a whole…

A:

Q: There is an even number betuween 200 and 300 that is divisi ble bu 5 and also by 9. What is te…

A:

Q: Suppose u = (5, -4, 4). Then (2, 5, 4) makes ? with u (-8,0, 10) makes ? v with u (1,5, –5) makes ?…

A: I have appended the formula used in the solution part

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.