A survey of 350 people at a gym were asked about their preference in fruit.   192 like apples 63 like apples and bananas 193 like bananas 52 like apples and cherries 78 like cherries 44 like bananas and cherries

Q: 14. JCL Computers has five vacancies in its executive trainee program. In how many ways can the…

A: Given that there are 10 females and 10 males. So total (10+10)=20 persons. They can select any 5…

Q: 9. A math club has 50 members, 28 female and 22 male members. a) If a committee of 5 is to be…

A: Solution

Q: 11. There are 8 women and 10 men in the math department. (a) How many ways can a committee of 4…

A: Given that, there are 8 women and 10 men in the math department. We need to find: (a) How many ways…

Q: 8. There are 18 mathematics majors and 325 computer science majors at a college. a) In how many ways…

A:

Q: 2. On the island of Foo, the natives use a counting system based on colored pebbles. In this system…

A: 2) Given Information : A red pebble is equal to 3 yellow pebbles. A blue pebble is equal to a red…

Q: (b) In how many different ways can you order 1 cone and 2 scoops of ice cream which are not the same…

A: Given,  A motor pool contains 5 subcompact sedans, 4 compact sedans, and 3 midsize sedans.

Q: In how many ways could a club of 13 members choose a president, vice president, and treasurer

A: Total members = 13 The total number of ways that a club of 13 members choose a president, vice…

Q: There are 18 math majors and 325 computer science majors at a college. Assume that there are no…

A:

Q: To win at LOTTO And a certain state, When must correctly select 6 numbers from a collection of 55…

A: By the formula of permutation and combination nCr= n!/(n-r)!r!

Q: The mathematics department is hiring a new faculty member and the five person hiring committee has…

A: Using plurality method we can find the winner.

Q: quarters, and you select 3 coins:   (d) In how many ways can the selection be made if you have…

A: Given that there are  8 dimes and 4 quarters Suppose three coins are selected . (d) The objective is…

Q: b) A committee of four people is to be chosen from a group of nine candidates, consisting of five…

A: Solution : Given that ,    Group of candidates N=9    Number of women = 5    Number of man = 4    We…

Q: eight students from a pool of nine female students and seven male students are to be selected to…

A: Given, There are nine female students and seven male students. We want to select eight students.

Q: A school bag contains 12 pens of which 5 are red and the other are black.   4 pens are selected…

A: Solution :    Given that, School back contains 12 pens. Red pens = 5  , Remaining are black  = 7 4…

Q: The Schmidts are considering the purchase of3 paintings for their home. Their decorator advisesthat…

A: Given problem Given that

Q: Fifty women were assigned to receive an iron-fortified breakfast cereal with a banana, and 50 women…

A: Please see handwritten solution

Q: 1. a) An employer must hire 2 people from a list of 13 applicants. In how many ways can the employer…

A: 1. a) so employer have to hire 2 people from a list of  13 applicants, Here we use nCr = n!r!(n-r)!…

Q: 4) A survey for 500 children is conducted in a town. The results show that approximately 53 % liked…

A:

Q: In how many ways can we select 5 cards that should be composed of 2 Kings and 3 Jacks from a deck of…

A: a) Step 1: Total number of kings and ace cards                                      =4 Number of…

Q: 12 players for a softball team show up for a game: (a) How many ways are there to choose 10 players…

A: a) We can pick a group of 10 players from 12 players in 12C10=66 ways.

Q: Seven parking spots in a row are available for a display of new cars at a dealership. If an employee…

A:

Q: Nine graduate students have applied for two available teaching assistantships. In how many ways can…

A:

Q: An engineer is putting together a train with 5 box cars, 3 tank cars, and 4 flat cars. For the box…

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

Q: A meeting was attended by 100 members of the actual 120 people. This meeting held to determine the…

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

Q: A box contains 11 red marbles, 7 green marbles, and 6 black marbles. A sample of 10 marbles is to be…

A: Hello! As you have posted 4 sub parts, we are answering the first 3 sub-parts.  In case you require…

Q: A committee of four is to be selected from a group of seventeen people. How many different…

A: Introduction: Total number of people available is 17. Total number of people to be selected for the…

Q: Sixty five students were chosen and asked, and it was found that each of the students liked at least…

A: We have given: Total 65 students Acer  35 Dell 32 Lenevo 33 Acer and dell 11 Dell and lenevo 15 Acer…

Q: A company sells regular hamburgers as well as a larger burger. Either type can include cheese,…

A: We have to find no. Of ways to arrange.

Q: 4) A survey for 500 children is conducted in a town. The results show that approximately 53 % liked…

A: To solve this problem, please lest represent the given data in a Venn diagram representation and…

Q: 2) A jar consists of 7 red marbles and 11 green marbles a) How man selections of 8 marbles are there…

A: This Problem is a problem of combinations.  Number of selections of r out of n = nCr = n!r!(n-r)!…

Q: 1. When a group of 25 students are surveyed: O 6 like ice cream O 12 like hot dogs O 15 like…

A: Solution : n= 25 Let, A : students who likes ice cream B : Students who like hot dog C : student who…

Q: The chess club has five members. (a) In how many ways can all five members line up for a picture?…

A: Given n=5

Q: Monticello residents were surveyed concerning their preferences for candidates Moore and Allen in an…

A: Given that  Number of respondents=800 Respondents support neither Moore nor Allen =300 Respondents…

Q: Suppose a committee of 3 men and 2 women are to be selected from a group of 10 men and 12 women. How…

A:

Q: Sixty five students were chosen and asked, and it was found that each of the students liked at least…

A: Venn diagrams can be used to solve such type of problems. Venn diagram uses circle to represent a…

Q: 12 samples of different pastries are on display as customers leave a bakery, they are told that they…

A:

Q: A committee of four is to be selected from a group of twenty people. How many different committees…

A:

Q: 4) A survey for 500 children is conducted in a town. The results show that approximately 53 % liked…

A:

Q: A committee of three is to be selected from a group of six people. How many different committees are…

A:

Q: A survey of 100 students asked them about the lunch room meals they liked: 42 students liked…

A: Let us denote:  C=chicken fingers, P=pizza, H=hamburger Given that :n(C)=42, n(P)=60, n(H)=47,…

Q: In how many ways can Silly Chicken select 6 out of 19 possible sites for the construction of new…

A: There are total 19 sites. Silly Chicken will select 6 sites from the 19 sites.  Here order does not…

Q: Eleven graduate students have applied for two available teaching assistantships. In how many ways…

A: (a) Total number of the students = 11. Total available vacancies for the post of the teaching…

Q: The following list shows the preferences of 104 people at a meeting: 98 like tea 97 like coffee 99…

A: Let us represent the given data in a Venn diagram,  n(Tea)=98 n(Coffee)=97 n(Hot chocolate)=99 n(Tea…

Q: Thirteen graduate students have applied for four available teaching assistantships. In how many ways…

A: Given, 13 graduate students have applied for 4 available teaching assistantships. a) Number of ways…

Q: 1.) Suppose you are asked to list, in order of preference, the three best movies you have seen this…

A: NOTE: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 12 a)samples of different pastries are on display as customers leave a bakery, they are told that…

A: 12 samples of different pastries are on display as customers leave a bakery, they are told that they…

Q: The city of Raleigh has 9400 registered voters. There are two candidates for city council in an…

A: Given- The city of Raleigh has 9400 registered voters. There are two candidates for city council in…

Q: A club asked its members, and the following information was obtained: 12 members had rabbits, 6 had…

A: given, a member had  12 rabbits , 6 had goats, 4 had both rabbits and goats and 20 had neither…

Q: There are 250 computer programmers employed at Computers.com, Inc. A sample of 50 programmers are…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.