8. In a college graduating class of 100 students, 54 studied mathematics, 69 studied history, and 35 studied both mathematics and history. If one of these students is selected at random, find the probability that a) The student takes mathematics or history

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: Suppose that a box contains 5 RED blocks, 4 BLUE blocks, and 3 GREEN blocks.  Suppose that 6 are…

A: It is given that the box contains 5 RED blocks, 4 BLUE blocks, and 3 GREEN blocks.   We are drawing…

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: suppose that 10% of people are left handed. if 9 people are selected at random, what is the…

A: The random variable is left handed people. It follows binomial distribution. The sample size is 9.…

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: There are 65 students going on a soccer trip. 43 are soccer players, 12 are left handed, 5 of the…

A: Total students  = 65 S : Number of soccer players  = 43 L : Left handed = 12 L and S : Left handed…

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: In the senior year of high school graduating class of 100 students 42 studied mathematics, 68…

A: Given: Total number of students = 100 Students studied Mathematics  'M' = 42 Students studied…

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

A: Part (a) Out of total 9 books, three books can be selected in 9C3 ways. Calculate the probability…

Q: In a college, there are 25 students who enrolled for commerce only, 105 students enrolled for…

A: Given: Number of Students enrolled for commerce, n(C) = 25           Number of Students enrolled for…

Q: Suppose that the International University of Science and Management has 1100 female students and 900…

A: The probability that exactly 8 of the selected students are female is obtained below: From the given…

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: Fourteen jurors are randomly selected from a population of 3 million residents. Of these 3 million…

A: Given Information:  The probability that juror form minority race = 0.48

Q: 1. Applicants for the presidency of the APIEMS job consists of 10 Filipinos, 8 Australians, 12…

A: Probability = Number of favourable outcome/Total number of outcomes

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

A: Hi! Thank you for the question, As per the honour code, we are allowed to answer three sub-parts at…

Q: Fourteen jurors are randomly selected from a population of 3 million residents. Of these 3 million​…

A: Given, 14 jurors are randomly selected from a population of 3 million residents. Of these 3 million​…

Q: A fair coin is flipped 8 times, what is the probability that the coin does not turn up heads two…

A:

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

A: (8) Given: There are 4 possible outcomes: Candidate, Candidate B, Candidate C, Undecided. Number of…

Q: 6-) If three balls are randomly drawn from a bow containing 6 white and 5 black balls, what is the…

A: Given three balls are randomly drawn from a bow containing 6 white and 5 black balls. To find the…

Q: Fourteen jurors are randomly selected from a population of 4 million residents. Of tHese 4 million…

A: n = 14 p = 39% = 0.39

Q: 4. Assume that 13% of people are left-handed. If we select 10 people at random, what is the…

A: There are different type of discrete distributions, some of them are binomial, Bernoulli, Poisson,…

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: A bowl contains 10 chips numbered 1, 2, . . . , 10, respectively. Five chips aredrawn at random, one…

A: Given: A bowl contains 10 chips numbered 1, 2, . . . , 10. So the number of chips, N=10. Five chips…

Q: Suppose that all license plates in a state have three letters and then four digits. If a plate is…

A: There are 10 digits [0-9]  and 26 letters [A-Z]   We can pick each letter in 26 ways and each digit…

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: 2. A Engineering team has 120 members, of whom 44 are Electrical Engineers, 30 are Mechanical…

A: sample size = 120 Let E: Electrical engineers      M: Mechanical engineers PE: 44120=0.367PM:…

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

A:

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

A:

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: (a) Suppose that 17 lightbulbs in a box of 65 lightbulbs are broken and that 3 are selected at…

A: Solution-: Let, X=Number of lightbulbs broken in the sample Given: N=65,M=17, n=3 We find, (a)…

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: Suppose a Box contains 200 identical machine parts. Out of which 100 are produced by machine A, 60…

A:

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: A statistics class has 24 students where students work in groups of 4 every week that are randomly…

A: a.   The probability that a student will work in the same group of 4 this week that they did last…

Q: 9. Out of 14 employees in a company, 8 are in the accounting department and 6 belong to the…

A: here AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION  PLZ REPOST FOR REMAINING Here use…

Q: 3. If 20% of the bolts produced by a machine are defective, determine the probability that out of 4…

A: Solution here  P = defective bolts              =20%             =20100 = 15         q =…

Q: Suppose that 75% of science students, 55% of business students, and 35% of humanities students pass…

A: Events: A1: The student is a science student. A2: The student is a business student. A3: The student…

Q: According to the American College of Obstetricians and Gynecologists, 22% of all births in the U.S.…

A: It is given that the 22% of all births in the U.S. take place by Cesarean section i.e. the…

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

A:

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: 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: From a group of 50 students at a university (10 students per year) a coordinating committee of 4…

A: Answer : - Given,   a group of 50 students at a university (10 students per year).…

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

A:

Q: An urn contains 7 red balls, 2 blue balls, 4 green balls and 3 yellow balls. If two balls are drawn…

A: Given, An urn contains 7 red balls, 2 blue balls, 4 green balls and 3 yellow balls. Total number of…

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: and 7 fed Dals, the second urn has 2 blue balls and 8 red balls, and the third urn has 5 blue balls…

A: Answer: If we draw a red from the first urn then it is sure that we will draw at least 2 balls…