In drawing 3 CD’s from a lot, defective and non defective CD’s , let A, B , C and D mean at least one Defective CD, at least one non defective CD, 2 defective CD’s and 2 non defective CD’s, respectively. Are A and B mutually exclusive? Are C and D mutually exclusive? Comment on your result

Q: Suppose we have 15 graphics cards and 4 servers. The graphics cards are all identical, but the…

A: Given that there are 15 graphics cards and 4 servers. All the graphic cards are identical, but the…

Q: How many unordered selections of three elements can be made from the set {a, b, c, d, e, f}?

A:

Q: The number of ways a team of 2 players can be chosen out of 13 players is O 156 O 13 182 O 169 O 78

A: Number of ways a team of 2 players can be chosen out of 13 players can be calculated as:

Q: A restaurant offers a special pizza with any 5 toppings. If the restaurant has 13 toppings from…

A: Combination: The number of different selections of ‘r’ elements (order doesn’t matter) from a set of…

Q: How many ways are there to choose two subsets A and B of [n] so that A ⊆ B, and |B| is even

A: Using logic of sets and subsets we will solve the problem. Using facts we will find a solution to…

Q: How many permutations of the letters A, B, C, D, E, F, G are there in which the three letters ABC…

A: Given letters are : A, B, C, D, E, F, G. and it is given that three letters A, B and C appears…

Q: 5. a) How many 10-letter 'words' can be formed from the letters in SUC ESSFUL, if each letter can be…

A: Given word : SUCCESSFUL Number of letters = 10 Number of C = 2 Number of S = 3 Number of U = 2

Q: Suppose that you have 3 red Jolly Ranchers, 6 yellow Jolly Ranchers, 1 green Jolly Ranchers, and you…

A: Given that, You have 3 red Jolly Ranchers, 6 yellow Jolly Ranchers, 1 green Jolly Ranchers, and you…

Q: 4-person grievance committee is to be selected out of 2 departments, A and B, with 15 and 25 people.…

A:

Q: If three alphabets are to be chosen from A, B, C, D and E such that repetition is not allowed then…

A: In question, Given that A, B, C, D and E are 5 alphabets then three alphabet are chosen from them…

Q: A seven-person committee composed of Maya, Grace, Jonah, Zig, Esme, Miles, and Tristan is to select…

A: We have given that  A seven-person committee composed of Maya, Grace, Jonah, Zig, Esme, Miles, and…

Q: 3. A delegation of 4 students is selected each year from a technical school to attend the Skills…

A:

Q: Let A=( a, e, i, o, u, ) a) How many proper subsets will A have? b) How many 3-elements subsets will…

A:

Q: A person can order a new car with a choice of 8 possible​ colors, with or without air​…

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

Q: how many different ways can a new car be ordered with regard to these​ options?

A: Here use combination for no.of different ways of new car can be ordered

Q: How many ways are there to win first, second, and third places in a rally with 14 cars, provided…

A: The number of cars in the rally is 14. The first place can be chosen in 14 ways. Since one car has…

Q: In a survey regarding Covid-19 check up, 525 persons registered for free check up, 300 persons…

A: Given:  n(A) = Number of people registered for free checkup =525n(B) = Number of people registered…

Q: a contractor builds homes of 9 different models and presently has 3 lots to build on. In how many…

A: Given: A contractor builds homes of 9 different models and presently has 3 lots to build on.

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

A:

Q: In how many ways can the letters u, v, w, x, y, z be arranged so that the letters u and v are…

A: Given: letters u, v, w, x, y, and z

Q: FROM  a group of 6 students A, B,C,D,E AND F , 3 are to be selected in the school commitee  find…

A: From the provided information, Total students in group = 6 A, B, C, D, E and F 3 students need to be…

Q: a. A fleet of sixteen taxis is to be dispatched to three airports in such a way that three go to…

A: here AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION , AS YOU POSTED A AND B TOTALLY…

Q: A student wants to buy 3 CDs. Assume that they are interested in 4 CDs featuring the piano, 6 CDs…

A: The total number of ways of choosing 3CD's=C313=286 If all the CD's are same that are chosen, then…

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: In how many ways can three dogs, four cats, four rabbits and two pigs be arranged in a row so that…

A: Given information: Total number of dogs(D)=3. The number ways can 3 dogs arranged is 3!. Total…

Q: 2. Nine runners are entered in a 100-meter dash for which a gold, silver, and bronze meda will be…

A: Solution: Total number of runners = n= 9  Number of medals = Gold, Silver and Bronge= r= 3

Q: Refer to a set of five distinct history books, three distinct biology books, and two distinct…

A: Factorial Rule: The total number of ways n different objects can be arranged where the order of the…

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

A:

Q: Find the number of ways in which a committee of ilher A or B but not both must be a member of the…

A: Combination is a tool of selecting the n items from the m choices. Always n is smaller than or equal…

Q: Refer to a set of five distinct history books, three distinct biology books, and two distinct…

A:

Q: Yes, because only son No, because the popu Select ✓

A: parental handedness  Right handed  Left handed  Right*Right 292 37 Right*Left 29 7 Left*Right…

Q: A student wants to buy 3 CDs. Assume that they are interested in 6 CDs featuring the piano, 4 CDs…

A:

Q: Suppose that A = {red,white} and B= {white,blue} Then AUB=.?

A: We know that A∪B = x : x∈A or x∈B

Q: ose a board of 5 men and 5 women and that a committee consisting of 7 board members is to be formed.…

A: Given that  Number of men = 5 Number of women = 5 Committee must consists of 7 board members A…

Q: Suppose that in a certain state, all automobile license plates have three uppercase letters followed…

A: There are 26 letters [A-Z] and 10 digits [0-9] d) If the letters and digits are distinct then we can…

Q: Are s and I uncore Luted ? Are S and I indepen yor

A: X -1 0 1 P(X=x) 0.3 0.4 0.3 E(X) =∑xXP(X=x)E(X) =-0.3+0+0.3 = 0E(X2)=0.3+0+0.3 =0.6Var(X)…

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: Suppose we want to Choose a aobjects, without replacement, From the s objects pencil, eroser, desk,…

A: There are 5 objects that is pencil, eraser, desk, chair, lamp Two objects are selected without…

Q: A committe of 5 members is to be formed out of 6 gents and 4 ladies. In how many ways this can be…

A: Given: Total Gents = 6 Total Ladies = 4 Required 5 members committee for the at least two ladies

Q: A restaurant offers a special pizza with any 6 toppings. If the restaurant has 11 topping from which…

A:

Q: If Aang, Katara, Zuko, Toph, and Sokka sit down in a row, then there are 20 arrangements possible…

A: Given details: If Aang, Katara, Zuko, Toph, and Sokka sit down in a row. To check then there are 20…

Q: Assume that the student has a cup with 8 writing implements: 4 pencils, 3 ballpoint pens, and 1…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: How many strings of eight English letters are there a) that contain no vowels, if letters can be…

A: Given the question that, How many strings of eight English letters are there- a) that…

Q: How many 3-letter arrangements can be formed if at least one of the letters is to be chosen from the…

A: Given  3-letter arrangements can be formed if at least one of the letters is to be chosen from the…

Q: How many possible passwords can be formed from the letters: ASSISTANT_TITAN ? How many different…

A: Permutation is arrangement of number of objects in definite order. npr=n!n-r!

Q: If a committee of 8 members is to be formed from 8 sophomores and 5 freshmen such that there must be…

A: The total given sophomores are 8 and 5 are the freshmen. Committee of members will be formed by 5…

Q: write the formula for how to find a tandard divisor?

A:

Q: Of the 58 students in a mathematics​ class, 22 are taking​ French, 24 are taking​ German, and 7 are…

A: A Venn diagram is a pictorial representation of sets using circles or other closed figures inside a…

Q: all mteger greater ulan mat DOun and prilie, ulen

A:

Q: ) Suppose in a university, each subject offered to students has a subject code consisting of four…

A: Permutation is a technique to obtain the possible arrangements of listed items in linear order. It…

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.