1. Applicants for the presidency of the APIEMS job consists of 10 Filipinos, 8 Australians, 12 Chinese and 6 Singaporeans. If n applicant is randomly selected by the committee for interview, find the probability that the applicant chosen is a Filipino.

Q: Suppose that a class contains 15 boys and 30 girls, and that 10 students are to be selected at…

A: If n objects are drawn without replacement from N objects of which a objects are of type 1 and b…

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

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Q: A deck of 15 cards has 5 green cards labeled 1 through 5,five blue cards labeled 1 through 5, and…

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Q: Suppose that three jars contain colored balls as described in the table below. Red White Blue Jar 1…

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Q: Suppose that a class contains 15 boys and 30 girls, and that 10 students are to be selected at…

A: GIVEN DATA : There are 15 boys and 30 girls in the class                          10 students are…

Q: You draw two cards from this deck, one after the other, without replacement. What is the probability…

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Q: 2. The Slaughter Meat Company has 60 employees. Fifteen are member of the United Slicers Union, 35…

A: Given, Total Number of employees = 60 Number of employees from United Slicers Union  = 15 Number of…

Q: Suppose that 58% of customers at McDonald's order fries, and that 37% of customers are women. Also,…

A: Given information Probability of ordering fries P (order fries) = 0.58 Probability of women ordering…

Q: Suppose that 58% of customers at McDonald's order fries, and that 37% of customers are women. Also,…

A: As per answering guidelines,  we can answer only 3 subparts of a question and the rest can be…

Q: The mathematics faculty at a certain college consists of 10 full professors, 6 associate professors,…

A: From the given information, thee are  10 full professors 6 associate professors 12 assistant…

Q: Suppose that 30% of all voters prefer Candidate A. If 8 people are chosen at random for a poll,…

A: We have given that  n=8 , p=30%=0.30 , q=1-0.30=0.70 X~Binomial(n=8 , p=0.30)

Q: what is the probability that one or more of the selected companies are located in the said global…

A: Suppose 18 major computer companies operate in the Philippines and that 12 are located in Bonifacio…

Q: In a class of 260 Seniors, 93 study Spanish, 95 study Chemistry, 165 study Mathematics, 18 study…

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Q: If a committee of 4 is to be chosen at random from a class of 10 students, what is the probability…

A: The number of ways a committee of 4 can be chosen from a class of 10 students =104 ways Note that…

Q: 9. From a pack of 52 playing cards, three cards are drawn one after the other without replacement.…

A: In a pack of 52 cards,no.of Ace cards=4no.of king cards=4n0.0f jack cards=4

Q: (a) 'A' speaks truth in 60 per cent cases and 'B' in 70 per cent cases. In what percent- age of…

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Q: An urn has 3 red, 5 white, and 3 blue balls in an urn and two are drawn one after another without…

A: It is given that an urn contains 3 red, 5 white, and 3 blue balls. Two balls are one after another…

Q: An engineering company has four openings and the applicant pool consists of 6 database…

A: Number of applicants who are database administrators = 6 Number of applicants who are network…

Q: Each letter of the word LOVEMATHS is placed in hat. If one letter is drawn randomly, what is the…

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Q: (d) If you create an ordered list of 4 cars completely at random (that is, any car is equally li be…

A: As per your Requirement  I  have calculated  D part only

Q: A committee of 8 members is to be formed from a group of 8 men and 8 women. If the choice of…

A: Number of men=8 Number of women=8 The objective is to form a group of 8 members with half of these…

Q: assume there are 1 grey females, 4 grey males, 5 white females, and 6 white males. As in the book,…

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Q: An urn has 21 balls that are identical except that 8 are white, 8 are red, and 5 are blue. What is…

A: Given that ; An urn has 21 balls.  Total balls (n) = 21 White balls (w) = 8 Red balls (R) = 8 Blue…

Q: Suppose that 10 employees are to be divided among three jobs, with three employees going to job 1,…

A: Let us suppose there are three marbles viz. a red, a green and a blue. From these, there are three…

Q: For a departmental inquiry committee, an employer randomly selects a sample of three employees from…

A: The following information is available in the question Total number of employees = 10 Number of…

Q: Suppose that 70% of all voters prefer Candidate A. If 7 people are chosen at random for a poll,…

A: Given Suppose that 70% of all voters prefer Candidate A. If 7 people are chosen at random for a poll

Q: A small company has 5 part time employees and 10 full time employees. Of the part time employees, 3…

A: Introduction: In random experiment, mutually exclusive events are very important. These events are…

Q: Given a class of 12 girls and 10 boys please answer these questions containing to these questions…

A: There are 22 students in a class out of which 12 are girls and 10 are boys.

Q: Suppose that 40% of all voters prefer Candidate A. If 9 people are chosen at random for a poll,…

A: Solution: Let X be the number of people favor candidate A and n be the sample number of people. From…

Q: When 4 digits between 0 and 9 are randomly selected with replacement for a lottery ticket, what is…

A: From the provided information, Four digits between 0 and 9 are randomly selected with replacement…

Q: 4. Consider a box with 10 balls and 5 sticks. Draw seven times from the box, with replacement. Draws…

A: There are 10 balls and 5 sticks in the box, total 10+5 = 15 items. Out of 15 items 10 are balls.…

Q: A jury of 6 members is to be selected from a panel consisting of 8 men and 8 women. a. How many…

A: Given :Number of man = 8 Number of females = 8 Total number of members = 8+8=16 We want to choose…

Q: Suppose 10 cards are drawn from a deck of 52 cards consisting of 13 hearts, 13 diamonds, 13 clubs,…

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Q: Suppose that 55% of all voters prefer Candidate A. If 7 people are chosen at random for a poll, what…

A: Given : Let X : No. of  voters prefer Candidate A p=0.55 n=7

Q: Suppose 5 men out of 100 and 25 women out of 10,000 are color blind. A color blind person is choosen…

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Q: A 4-person grievance committee is to include employees in 2 departments, A and B, with 12 and 28…

A: Given that, a 4-person grievance committee is to include employees in 2 departments, A and B, with…

Q: 4. Ten books, consisting of 5 mathematics books, 3 physics books, and 2 chemistry books, are…

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Q: 4 ETS big book and 5 barrons books are arranged in a row on a shelf at random. Find the probability…

A: 4 ETS big book and 5 barrons books are arranged in a row on a shelf at random.

Q: If an urn has 10 white balls and nine red balls what is the probability that five randomly selected…

A: Total number of white balls = 10 The probability of white ball = 10/19 = 0.526   n = 5

Q: n engineering company has four openings and the applicant pool consists of 6 database administrators…

A: Given that  Number of job openings = 4 Data base administrators = 6 Network engineers = 8 Hiring…

Q: consider a political discussion group of 6 democrats, 5 republicans, and 3 independents.  If two…

A: Given that  consider a political discussion group of 6 democrats, 5 republicans, and 3 independents.…

Q: An urn has 3 red, 4 white, and 3 blue balls in an urn and two are drawn one after another without…

A: Given information: Frequency of red balls in an urn, r = 3 Frequency of white balls in an urn, w = 4…

Q: Of the 28 restaurants in an area, 4 serve one type of cuisine, 9 serve two different types of…

A: We have to find given probability.

Q: Suppose that 40% of Tulane undergraduates intend to continue on to graduate school after completing…

A: Given that 40% of Tulane undergraduates intend to continue on to graduate school after completing…

Q: An urn contains 6 white and 9 black balls. If 4 balls are to be randomly selected without…

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Q: 2. A jury pool consists of 27 people, 14 men and 13 women. Compute the probability that a randomly…

A: Note: We will answer the first question only as the exact one is not specified. Please resubmit the…

Q: 5) Suppose that 14% of people are left handed. If 9 people are selected at random, what is the…

A: Givenp=0.14n=9x~Binomial(n=9,p=0.14)P(X=x)=(nx)×px×(1-p)n-x   ; x=0,1,..,n

Q: if an urn has 5 white balls, 10 red balls, and 6 green balls, what is the probability that 4…

A: Combination: According to the combination rule, if r distinct items are to be chosen from n items…

Q: Suppose that 40% of Tulane undergraduates intend to continue on to graduate school after completing…

A: From the provided information, 40% of Tulane undergraduates intend to continue on to graduate school…