A group of tourists composing of 2 Canadians, 3 Japanese, 5 Italians, and 2 Germans arrived in the Philippines. If a committee of 4 is selected at random, find the probability that (a) all nationalities are represented; (b) all nationalities except Italian are represented.

Q: A committee of 8 is formed from a group of 15 women and 20 men. Determine the probability that the…

A: Given data No of women = 15 No of men = 20 Total Person = 20 + 15 = 35 A committee of 8 is formed…

Q: 11. At Athens country club 73% of the member play bridge and swim, and 82% play bridge. If a membet…

A: Given: Prob. that member play bridge and swim =0.73 Prob. that member play bridge  =0.82

Q: In a certain voting precinct, 81% of voters are registered democrats. what is the probability that,…

A:

Q: In a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students are…

A: Given Data: The probability that the student belongs to ethnic minorities is: p=33%=0.33 The total…

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: A golf ball is selected at random from a golf bag. If the golf bag contains 8 type A balls, 5 type B…

A: Number of type A balls = 8 Number of type B balls = 5 Number of type C balls = 3 Total number of…

Q: A university class has 12 students that are from within the state, 15 students from out of state,…

A:

Q: A class has 12 boys and 4 girls. If three students are selected at random from the class, what is…

A: Given data, Number of boys in a class =12 Number of girls in a class =4 Total number of students…

Q: 1 In a high school graduating class of 100 students, 54 studied mathematics, 69 studied history, and…

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 foreign student club lists as its members 2 Canadians, 3 Japanese, 5 Italians, and 2 Germans. If a…

A: Answer : Canadians = 2  Japanese = 3 Italians = 5  Germans = 2 Total students = 2+3+5+2 = 12 Number…

Q: From a box containing six black plates, eight white plates and ten blue plates, one plate is drawn…

A: Solution

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: A jury pool has 18 men and 19 women, from which 12 jurors will be selected. Assuming that each…

A: The given data are: Number of men = 18 Number of women = 19 Number of people selected = 12 Total…

Q: 4. If 3 books are picked at random from a shelf containing 5 novels, 3 books of poems, and a…

A: Given,No. of novels=5No. of books of poems=3No. of dictionary=1Total no. of books=9

Q: A poll is given, showing 55% are in favor of a new building project. If 8 people are chosen at…

A: Binomial Distribution: If we have n trials each having two outcomes, say Success and Failure, trials…

Q: In a class, there are 30 students from Ankara, 50 from Istanbul and 20 from other cities. If a…

A: Classical Definition of Probability: If there are n mutually exclusive, exhaustive and equally…

Q: Suppose that 35% of all voters prefer Candidate A. If 8 people are chosen at random for a poll, what…

A: We have given that p = 35% = 0.35 n = 8 Here we will use binomial distribution The PMF of the…

Q: In a recent poll, 23% of the respondents supported candidate A, 19% supported candidate B, 13%…

A: Introduction: The total sample size is n = 7. Denote x1, x2, x3, and x4 as the number of sampled…

Q: A student organization committee consisting of 7 people to be formed by selecting from a group of 26…

A: We have to find given probability.

Q: A poll is given, showing 60% are in favor of a new building project. If 7 people are chosen at…

A: A poll shows that 60% are in favor of a new building project. Seven people are chosen at random.…

Q: Three professors administer a common exam without technical problem to their classes of 40 students…

A:

Q: A student club lists as its members 2 Canadians, 3 Japanese, 5 Italians, and 2 Germans. If a…

A: Given that, a student club lists as its members 2 Canadians, 3 Japanese, 5 Italians, and 2 Germans.…

Q: In a factory, robots 1, 2, and 3 produce wires of the same length, with 2%, 1%, and 3% defective…

A:

Q: A chalk box contains 5 pink chalks and 4 white chalks. If three items are picked at random, assuming…

A:

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

A:

Q: If out of a population consisting of 40% Hindus, 30% Muslims, 20% Sikhs, and 10% Christians, 10…

A:

Q: One- fourth of the freshmen entering UC are out of CAR students. If the students are assigned at…

A:

Q: From a lot of 14 missiles, 5 are selected at random and fired. Suppose the lot contains 3 defective…

A: From the given information, total number of missiles N = 14. Number of missiles randomly selected n…

Q: Suppose that a certain precinct contains 12 voters, of which 7 are Democrats and 5 are Republicans.…

A: From the given information, there are 7 Democrats and 5 are Republicans. The total number of voters…

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

A:

Q: In an amusement fair, a competitor is entitled for a prize if he throws a ring on a from a certain…

A: Given information, p=0.3 q=0.70 Consider, the expected number of winning is, Ex=1p      =10.3…

Q: At a fast-food restaurant, 60% of the patrons order a burger. Of those ordering a burger, 40% also…

A:

Q: In a high school graduating class of 100 students, 55 studied mathematics, 63 studied computer…

A: The total number of students is 100. The number of students studied mathematics is 55. The number of…

Q: A bag contains 7 nickels, 2 dimes, and 8 quarters. If you draw 3 coins at random from the bag,…

A: Given that there are 7 nickels, 2 dimes, and 8 quarters. So total (7+2+8)=17 coins   We can pick any…

Q: In a group of 150 men, 70 have played pool at least once. Suppose one of these 150 men is randomly…

A: Given that there are total 150 men.  Out of 150 men, 70 have played pool at least once.

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: In a country, 75% of the graduates are citizens,60% of the citizens graduates are employed while…

A: Given , 75 percent of the graduates are citizens ... Among them 60 percent of citizens are employed…

Q: find the probability that only three have traveled to Italy.

A: Let p be the probability that a tourist have traveled to Italy. Given that p = 0.55 Let X denotes…

Q: A box contains 24 light bulbs of which four are defective. If one person selects 10 bulbs from the…

A: According to the provided information, a box contains 24 bulbs out of which four are defective. One…

Q: A jury pool has 22 men and 18 women, from which 12 jurors will be selected. Assuming that each…

A: nr=n!r!(n-r)! ;  n!=1×2×3×....×nMeaning :- selecting 'r' items out of 'n' itemsP(all men ) =…

Q: In a class of 23 students, 18 are female and 7 have an A in the class. There are 5 students who are…

A: First, we'll create a table for the given data,   Female Male Total Class A 5 2 7 Other  13 3…

Q: If you are randomly sampling one at a time with replacement from a bag that contains eight blue…

A: (a) Total no. of marbles = 8+7+5 = 20 P(drawing a blue marble) =820 P(drawing a red marble) = 720…

Q: 2. In a particular class, 78% of the students have a smartphone, 38% have a smartphone and a tablet,…

A:

Q: If 3 books are picked at random from a shelf containing 5 novels, 3 books of poems, and a…

A: From the provided information, Total books in a shelf = 5 + 3 + 1 = 9 If three books are picked at…

Q: In a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students are…

A: Solution-: Given: n=10,p=0.33 We find, P[no more than 6 belong to an ethnic minorities]=?

Q: In a secondary school, 58% of students who is studying in an art course have purchased a drawing…

A: We have to find given probability.

Q: Suppose that 35% of all voters prefer Candidate A. If 7 people are chosen at random for a poll,…

A: Probability that voters prefer Candidate A = 35% = 0.35 Sample size, n = 7

Q: Suppose that in a barangay, three out of five are registered voters. If 10 people are selected at…

A:

Q: A foreign student club lists as its members 2 Canadians, 3 Japanese, 5 Italians, and 2 Germans. If a…

A: We have to use classical probability theory to find the probability.