Suppose you are randomly selecting students for a panel. There are 20 students from which to choose, and the panel will have 7 people on it. Eight of the 20 students are marketing majors, six are English majors, four are history majors, and two are chemistry majors. What is the probability that there will be at least two English majors on the panel? What is the probability that there will be no history majors on the panel?

Q: Suppose that a school has 10 courses offered, 3 of which are engineering major, 5 are philosophy…

A: It is given that in a school has 10 courses offered. In which 3 of which are engineering major, 5…

Q: Of 100 college students, all can speak English, 35 can speak Spanish, 12 can speak Chinese, 3 can…

A:

Q: In a certain community, 16% of the families own a dog, and 25% of the families that own a dog also…

A: Given: Probability family owns a dog, P(D)= 0.16 Probability family owns a cat, P(C)= 0.34 The…

Q: Suppose that 46% of people own dogs. If you pick two people at random, what is the probability that…

A: Independent Events:   The events A, B are said to independent if the occurrence of the event A do…

Q: In a group of students, 70% are taking an English class and 19% are taking a Chemistry class. Among…

A: Given that, P(E)= 70% = 0.70 P(C)= 19%= 0.19 P(C/E)= 7%= 0.07 P(C Ω E)=?

Q: In a random group of 5 individuals, what is the probability that at least two of them have the same…

A: We have given that the group of 5 individuals.

Q: The faculty of the mathematics department at Joliet JuniorCollege is composed of 4 females and 9…

A: The faculty of the mathematics department at Joliet JuniorCollege is composed of 4 females and 9…

Q: A restaurant critic has 10 new food trucks to try. If she tries half of them this week, what is the…

A: The probability formula is, Probability=Number of favourable outcomesTotal outcomes A restaurant…

Q: Of the people who fished at Clearwater Park today, 30 had a fishing license, and 20 did not. Of the…

A: For Clearwater Park Prob(P)=20/50=0.4=40% And Mountain View Park. Prob(P)=12/60=0.2=20%

Q: At a certain college, there were 400 Engineering majors, 300 Science majors, and 100 Mathematics…

A:

Q: From a group of 9 boys and 12 girls, a committee of 4 students is chosen at random. a. What is the…

A: Given: 9 boys 12 girls Total = 12+9 =21 students

Q: A group of students consisting of 20 males and 20 females were selected to participate in a research…

A: Solution: From the given information, there are 20 males and 20 females. Total number of students is…

Q: A 3​-card hand is dealt from a standard​ 52-card deck, and then one of the 3 cards is chosen at…

A: Given : n = number of cards in the  hand = 3 x= number heart card in the hand = 1

Q: Suppose that in a class of 100 students, 25 students major in Economics, 30 in Finance, and 45 in…

A: In question, Given that in a class of 100 students, 25 students major in Economics, 30 in Finance,…

Q: In a class of 50 students, 29 are Democrats, 11 are business majors, and 5 of the business majors…

A: It is given that in a class of 50 students, 29 are Democrats, 11 are business majors, and 5 of the…

Q: In a group of 40 people, 10 are healthy and every person the of the remaining 30 has either high…

A: Note: Hi! Thanks for posting the question. Since there are more than three sub-part questions, we…

Q: In a class, 40% of the students offered Statistics, 30% offered Mathematics, and 20% offered both.…

A: Let us define the event. A: The student offered the Statistics. B: The student offered the…

Q: A bag contains 77 greengreen marbles, 1010 blackblack marbles, and 55 whitewhite marbles. If two…

A: Given: 7 green marbles 10 black marbles 5 white marbles

Q: In a cooler containing twenty-four beverages, there are seven beverages with the word "Coke" on the…

A:

Q: Suppose that 20% of people own dogs. If you pick two people at random, what is the probability that…

A: Given that, 20% of people own dogs. Sample size = 2

Q: Suppose that Karlyn’s store now contains 10 Hewlett-Packard computers, 5 Dell computers, and 5 Sony…

A: Given: A computer store contains, 10 Hewlett-Packard computers, 5 Dell computers, 5 Sony computers.…

Q: In a group of 2500 persons, are female, 600 are vegetarian, and are female and vegetarian. What is…

A:

Q: A bag contains 5 red marbles, 6 green marbles, and 3 blue marbles. If Cymra draws a marble, keeps it…

A: There are total (5+6+3)= 14 marbles in the bag. Among the 14 marbles, 5 are red   So, the…

Q: Suppose you are randomly selecting students for a panel. There are 20 students from which to choose,…

A: According to the provided data, there are a total of 20 students out of which 8 are marketing…

Q: A technician is launching fireworks near the end of a show. Of the remaining twelve fireworks, five…

A:

Q: n your voting district, 40% of the voters are against a particular bill and the rest favor it. If…

A: (a)   Obtain the probability that none will favor the bill.   The probability that none will favor…

Q: 42 employees: 20 are men and 22 are women. If 5 employeesare randomly chosen to represent the…

A: Given that  ZEST company has 42 employees . Men = 20 Women  = 22   We know that  Probability =Number…

Q: A financial services committee had 60 ​members, of which 10 were women. If 9 members are selected…

A:

Q: A hotel has 20 rooms on the first floor, 60 rooms on the second floor, 40 rooms on the third floor,…

A: Probability: The formula for probability of an event E is as follows:

Q: Of 100 students, 24 speak French, 18 speak German, and 8 speak both French and German. If a student…

A: Let us denote F=French , G=German Given that n(F)=24, n(G)=18, n(F ∩ G)=8 Using the union formula:…

Q: In a certain high school, 54% of the students are female, 46% of the students are male. If you…

A: Given data   In school 54% are female students and 46% are male students you select one student at…

Q: A bag contains 43 black marbles, 84 green marbles, and 73 blue marbles. If a marble is drawn from…

A:

Q: A class has 14 girls and 12 boys and a committee of 5 is chosen. What is the probability that this…

A: We have given that Number of girls = 14 Number of boys = 12 Total students = 12+14 = 26 We have to…

Q: if a class has 2 freshmen, 1 shphomore, 3 juniors, and 5 seniors, what is the probability that three…

A: From the provided information, A class has 2 freshman, 1 sophomore, 3 juniors and 5 seniors. Total…

Q: A financial services committee had 60 ​members, of which 8 were women. If 7 members are selected at​…

A:

Q: 4. You have 6 history books, 5 English books, 4 mathematics books, and 3 chemistry books which you…

A: Let us assume there are three girls A, B and C sitting beside each other. The different ways in…

Q: A bag contains 66 whitewhite marbles, 33 greengreen marbles, and 77 redred marbles. If a marble is…

A:

Q: Consider a garden with two types of trees, 4 aspen and 6 cedar, and two types of flowers, 8 roses…

A: There are two types of trees in which there are 4- aspen and 6-cedar. There are two types of…

Q: At a college, 20% of the students take Math, 30% take History, and 5% take both Math and History. If…

A: Let us define some events A : a student takes Math. B : a student takes History. Given that P(A) =…

Q: You have a bag of 1 gold coin, 2 red coins and 3 blue coins and you can only select two at random to…

A: Given that the bag contains 1 gold coin, 2 red coins and 3 blue coins. And two coins are selected at…

Q: . What is the probability he will end up with five cards of the same suit?

A: let Charlie draws five cards out of a deck of 52. If he gets at least three of one suit, he discards…

Q: In a hospital, there are 11 male patients in ICU, 7 female patients in ICU, 5 male patients in…

A: Given that,  MALE Patients in ICU =11 MALE Patients in Cardiology= 5 MALE Patients in…

Q: In a secondary school, 65% of students who is studying in an art course have purchased a drawing…

A:

Q: There are 22 students, from which 6 people will be selected to be on a panel. If Allen and Joe are 2…

A:

Q: A bag contains 12 pens, 6 of which are of the color blue and the remaining 6 are red. If a person…

A:

Q: On the weekend 14 friends get together to play a football game with seven players per side. If in…

A:

Q: In a certain school, 17% of the students are enrolled in a psychology course and 28% are enrolled in…

A:

Q: Suppose that 38% of people own dogs. If you pick two people at random, what is the probability that…

A: Let p be the probability that a person owns dog. Given that p = 0.38

Q: A high school class consists of 6 seniors, 10 juniors, 11 sophomores, and 5 freshmen. Exactly 2 of…

A: From the given problem, we have:6 seniors, 10 juniors, 11 sophomores, and 5 freshmenTotal number of…

Q: The mathematics department of a college has 6 male​ professors, 11 female​ professors, 10 male…

A: According to the given information, we have   Professors Teaching assistants Total Male 6 10 16…