A work team consists of 7 females and 5 males. Only three members of this team can be selected to have dinner with the CEO of the company. The selection is random (and obviously without replacement). How many possible groups of members consisting of one male and two females can be selected for this dinner?

Q: In one of the games in the Statistics Games, a team of students is chosen from each instructor’s…

A: The number of students in blue section is 30.

Q: There are 5 defective light bulbs in a bin containing 60 light bulbs. How many ways can you select…

A:

Q: A keyboard has 7 keys: letters A-G. Suppose that a melody is created by playing four random keys.…

A: the 7th key can not be E,F,G. Hence for the 7th key we are left with only 4 choices.

Q: A committee consists of 4 men and 5 women. Three members are to be selected at random to form a…

A: Given that  Committee consists of  4 Men and 5 Women  Then we have to choose 3 members to be…

Q: In a random sample of 100 scholars, 47 scholars selected King for Vice President . If the total…

A:

Q: A small ice cream parlor has had great success over the past several years and is interested in…

A: Given information: Number of customers randomly selected in the sample, n = 56 Number of customers…

Q: In a certain village 20% of the population is literate, and assume that 150 investigators take a…

A: Given,n=10p=0.2q=1-p=1-0.2=0.8X=no.of literates in the sampleX~Binomial (n=10 , p=0.2)P(X=x)=cxn px…

Q: Suppose that a class of 20 students is assigned to write an essay.       Suppose 3 essays are…

A: Total number of students = 20 Total number of groups of selecting 3 essays can be obtained as:

Q: A criminal gets to pick his punishment by choosing among three rooms.  The first is full of burning…

A: There are three rooms First is full of burning fires Second is full of assassins with loaded guns…

Q: How many different ways can the golf pro at a golf club select a foursome consisting of 1 man and 3…

A: Given,   Number of males = 8 Number of females = 11   The objective is to find how many different…

Q: There are 25 students in a science class. Twenty percent of the students are randomly chosen to…

A: Solution :  There are 25 students in a class.  Twenty percent of the students are randomly chosen…

Q: Suppose a class has 18 women and 12 men.We wish to form a committee of 5 people.If the committee is…

A:

Q: A chess tournament has 16 players. Every player plays every other player exactly once. How many…

A: Consider 16 players competing for a chess tournament with each player competing with the rest of the…

Q: Among a group of people, 57% liked purple, 12% liked yellow and 9% liked blue. 7% liked both purple…

A: Percentage of People that liked Purple: 57% Percentage of People that liked Yellow: 12% Percentage…

Q: In a shipment of  59 vials, only 14 do not have hairline cracks. If you randomly select 2 vials from…

A: Given that  Number of vials (n) = 59 Vials do not have hairline cracks = 14 Vials having hairline…

Q: Diana​ Baniak, searching for an Ecology​ class, knows that it must be in one of seven classrooms.…

A: Total there are 7 rooms and Diana​ Baniak will select 3 rooms at random.

Q: There are 12 students in a high school senior class. In how many ways could the yearbook choose one…

A: The objective of this question is to find out the number of ways in which one student can be chosen…

Q: A basket contains four apples, four peaches, and four pears. You randomly select a piece of fruit.…

A: Number of Apples, n(A)= 4 Number of peaches, n(Pch)= 4 Number of pears, n(pr)= 4 Total fruits , n=…

Q: A box contains 10,000 tickets: 4,000 zeros and 6,000 ones. And 10,000 draws will be made at random…

A: As the draws are obtained without replacement, the population size decreases with each additional…

Q: A computer company has 5 vaccines in its executive trainee program. The company must select the…

A: Given - A computer company has 5 vaccines in its executive trainee program. The company must select…

Q: The numbers on a dice (a single dice) are covered by 6 different letters of the alphabet. Four of…

A:

Q: In a classroom there are 28 tablets which includes 5 that are defective. If seven tablets are chosen…

A: No.of defective tablets=5No.of non defective tablets=23

Q: A committee has 5 members. There are three members that curt serve As the board's chairman, ranking…

A: Given that,  Total members, n= 5 Positions r= 3

Q: Of the 50 researchers in a workgroup, 40 percent will be assigned to Team A and the remaining 60…

A: Ofthe 50 researchers in a workgroup, 40 percent will be assigned to Team A and the remaining 60…

Q: In a certain town, 60 percent of voters are in favor of a given ballot measure and 40 percent are…

A: Given data:  60% = voters are in favor of a given ballot measure 40%  = voters are opposed. For…

Q: In a shipment of  62 vials, only 14 do not have hairline cracks. If you randomly select 3 vials from…

A: The number of vials is 62. The number of vials selected randomly is 3.

Q: Suppose you have a choice of ten TV sets that can be matched with any of six DVR players and eight…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…

Q: There are 20 members of a club.  The club is going to select a president, vice president, and…

A: Given: 20 members in a club.

Q: A local radio station took a poll of 90 of its listeners to find out whether they like to watch…

A: let M be the listeners who like mariners games SE be the listeners who like seahawks games, SO be…

Q: A committee of 5 people will be selected at random from a group of 12 men and 15 women. How many…

A: we have to find no. Of ways..

Q: How many ways are there to choose a team of 11 players from a panel of 15 players

A: How many ways are there to choose a team of 11 players from a panel of 15 players