A company received a shipment of 36 laser printers, including 6 that are defective. 3 of these printers are selected to be used in the copy room. (a) How many selections can be made? (b) How many of these selections will contain no defective printers

Q: A company received a shipment of 41 laser printers, including 8 that are defective. 3 of these…

A: Given that , A company received a shipment of 41 laser printers   i.e. Number of sample space = S =…

Q: Nine people are going on a Siargao trip in 3 cars that hold 2, 4, and 5 passengers, respectively. In…

A:

Q: An English class consists of twenty-four students, and five are to be chosen to give speeches in a…

A: An English class consists of twenty-four students, and five are to be chosen to give speeches in a…

Q: Amarble is selected at random from a jar containing 2 red marbles, 3 yellow marbles, and 4 green…

A: GivenA jar containsNo.of red marbles=2No.of yellow marbles = 3No.of green marbles = 4Total no.of…

Q: How many ways are there to select three diamond earrings from a box of ten diamond earrings,…

A: Total diamond earrings = 10 We have to select three diamond earrings from a box. Order does not…

Q: 2. A manager samples the receipts of every fifth person who goes through the line. Out of 50 people,…

A: Given that, No.of people had a mispriced items = 4 Total no.of peoples = 50 The probability that…

Q: Twelve people compete in a downhill ski race. Assuming that there are no ties, in how many different…

A: Solution: If there are n objects and are arranged with the order r, then the permutation should be…

Q: A box contains 16 computer disks, 4 of which are known to have bad sectors. In how many ways can 3…

A:

Q: how many combinations are possible? assume the items are distinct. 16 items chosen 16 at a time

A: Only one combination is possible.

Q: At the horse races (with ten horses competing), in how many ways can the top three places be…

A: Permutation: The number of different arrangements of ‘r’ elements from a set of‘n’ elements is…

Q: Assume that you have 7 dimes and 5 quarters (all distinct), and you select 4 coins. In how many ways…

A: To count the number of selections  under given conditions

Q: A shipment of 150 laptops contains 9 defective laptops. A quality control specialist chooses a…

A: Given,no.of defective laptops=9no.of non defective laptops=141total no.of laptops=150

Q: In a certain general assembly, three major prizes are at stake. In how many ways can the first,…

A:

Q: At a movie festival, a team of judges is to pick the first, second, and third place winners from the…

A: Solution: From the given information, the number of films entered is 40 and a team of judges is to…

Q: A computer user has downloaded 22 songs using an online file-sharing program and wants to create a…

A: To find out the possible CD-R's

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: 9) From a group of 30 people, a jury of 12 people is selected. In how many different ways can a jury…

A: We use combination formula here to find number of ways to select 12 people out of 30 peoples

Q: Ten jokes are listed in a magazine.   If the fourth joke from the magazine is​ excluded, in how…

A: There are 10 jokes listed in a magazine.Here 4th joke is excluded than find the number of ways…

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: In a survey of 24 college students, it was found that 8 were taking an English class, 12 were taking…

A:

Q: f there are eleven​multiple-choice questions on an​ exam, each having three possible​ answers, how…

A: Given that  Number of multiple choice questions in exam (n) = 11  Each question has 3 possible…

Q: The pool of students in a calculus class consist of 22 sophomore and 8 freshmen. If seven students…

A: (a) Determine the number of different groups of seven students can be selected. The number of…

Q: Assume that you have 8 dimes and 4 quarters (all distinct), and you select 3 coins. In how many…

A: The number of dimes is 8 and the quarters is 4.

Q: How many possible ways can the top 5 finishers come in during a race with 24 racers? Each place…

A: This is a permutation problem.   Out of the 24, there will be 5 racers in the top 5.

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

A:

Q: How many ways to choose 4 out of the 10 candidates to be sent to a conference?

A: Combination Rule: The arrangement of r objects from n different objects is given by:

Q: How many combinations are possible? assume the Items are distinct. 5 items chosen 2 at a time

A: C(n,r) = n! /{r! (n-r)!}

Q: An election ballot asks voters to select 2 city commissioners from a group of 6 candidates. In how…

A: An election ballot asks voters to select 2 city commissioners from a group of 6 candidates. I Total…

Q: (b) From a collection of 52 store customers, 3 are to be chosen to receive a special gift. How many…

A: a group of 52 store customers. 3 persons are to be selected, need to find total way exactly 3 store…

Q: A track race has 6 participants. In how many orders could the runners possibly finish

A:

Q: Consider a shipment of 50 laptops of which four are defective. A. In how many ways can we select…

A:

Q: 8. The captain of a baseball team assigns himself to the 6th place in the batting order. In how many…

A: When you arranging elements (r) from orders list (n), Permutation is a matter of orders while, the…

Q: In how many ways can a hostess select six luncheon guests from 10 women if she is to avoid having a…

A: Combination and permutations

Q: 9. Concider a shipment of 50 laptops of which four are defective. In how many ways can we select…

A:

Q: A marketing company did a survey to find out what kinds of soda people drink. The survey found that…

A:

Q: 6. How many ways are there to select 3 candidates from 8 equally qualified recent graduates for…

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

Q: In a shipment of 22 smartphones, 3 are defective. How many ways can a quality control inspector…

A: Given that In a shipment of 22 smartphones, 3 are defective.

Q: At a movie festival, a team of judges is to pick the first, second, and third place winners from the…

A: The total number of films  =40  the number of ways to give first prize  is    =40 the number of ways…

Q: How many different letter arrangements can be made from the letters in the word of ASSASSINATION

A: Note : Since you have asked multiple questions, we will solve the first question for you. If you…

Q: there are 15 horses in a race, how many possibilities are there for the win, place, and show (first,…

A:

Q: In a group of 10 boys and 15 girls how many selections of 6 students are possible?

A: There are 10 boys and 15 girls The total number of students is 25 The total number of ways of…

Q: An electronics store receives a shipment of 30 graphing calculators, 8 that are defective. Four of…

A:

Q: There are 12 people that have entered a gaming tournament with prizes for 1st place, and place, and…

A: Given that there are total 12 people. We will pick 3 different positions. since the order matters,…

Q: 3. A town orchestra is holding auditions for 3 new flute players and 4 new trumpet players. If 8…

A: It is given that a town orchestra is holding auditions for 3 new flute players and 4 new trumpet…

Q: An election ballot asks voters to select three city commissioners from a group of six candidates. In…

A: Here, we have to find no of ways 3 city commissioners from a group of 6 candidates. L

Q: A speech class teacher is going to rank five different speeches from 12 available speeches. In how…

A: Given that  A class teacher is going to rank five different speeches from12 available speeches. We…

Q: An election ballot asks voters to select five city commissioners from a group of twelve candidates.…

A:

Q: A student is given a reading list of ten books from which he must select two for an outside reading…

A: Given that the student has a list of 10 books from which he has to select 2 books

Q: An election ballot asks voters to select six city commissioners from a group of seventeen…

A: We want to find the number ways

Q: 2. You were tasked to take charge of the auditions for the female parts of a stage play. In how many…

A:

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.