Of the nine members of the board of trustees of a college, five agree with the president on a certain issue. The president selects three trustees at random and asks for their opinions. What is the probability that at least two of them will agree with him?

Q: In a large population, 50 % of the people have been vaccinated. If 3 people are randomly selected,…

A: Givenp=50%=0.50n=3x=noof people get vaccinatedx~Binomial(n=2,p=0.50)P(X=x)=Cxn px (1-p)n-x    ;…

Q: In a town, 52% of the residents voted for Candidate C. If we randomly survey 3 residents, what is…

A:

Q: A poll is given, showing 20% are in favor of a new building project. If 10 people are chosen at…

A: Given data, p=20%=0.20 n=10 P(X=5)=?

Q: In a large population, 54 % of the people have been vaccinated. If 5 people are randomly selected,…

A: Given data: 54% of the people have been vaccinated.

Q: An insurance company has determined that each week an average of five claims are filed in their…

A: (a) Obtain the probability that during the next week exactly seven claims will be filed. The…

Q: If 58% of the people at a certain conference are doctors, 38% are men, and 18% are male doctors,…

A: Given If 58% of the people at a certain conference are doctors, 38% are men, 18% are male doctors,

Q: A department of commerce enrolls 125 students out of which 50 are girls. If 15 girls and 25 boys of…

A: It is given that, A department of commerce enrols 125 students out of which 50 are girls. It means…

Q: If a person randomly picks 4 of the 15 gold coins adealer has in stock, and 6 of the coins are…

A: Given , No of gold coins n=15No of random picks r=4P6 coins are counter feits=?

Q: In a certain community, 8% of all adults over 50 have diabetes. If a doctor in this community…

A: Introduction - Probability - Probability defines the likelihood of occurrences of an event . There…

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

A: Consider X be random variable which follows binomial distribution indicates the students belongs to…

Q: From an ordinary deck of 52 playing cards, what is the probability that if 5 cards are to be dealt,…

A: Total no.of cards=52no.of face cards=12

Q: A poll is given, showing 50% are in favor of a new building project. If 9 people are chosen at…

A:

Q: In a particular class, there are 12 freshmen, 6 sophomores, 4 juniors, and 2 seniors. If the…

A: Given,no.of freshmen=12no.of sophomores=6no.of juniors=4no.of seniors=2total no.of students =24

Q: In a group of 25 boys, 20 play basketball and 17 play baseball. They all play at least one of the…

A: Let, A=basketball B=baseball Given that: n(A)=20 n(B)=17 n(A or B)=25 So, n(A and B)=n(A)+n(B) - n(A…

Q: if six different customers a, b, c, d, e and f arrive for service at random order, what is the…

A:

Q: At a certain college, 28% of the students major in engineering, 18% play club sports, and 5 both…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: The employees of a company were surveyed on questions regarding their education background (college…

A: From given data,   College Degree No College Degree Total Single 120 80 200 Married 180 120…

Q: In a certain conservative precinct, 69% of the voters are registered Republicans. What…

A: Solution: Given data; P = 0.69 Sample size (n) = 100 To find: P( X >= 58) =?

Q: If 63% of the people at a certain conference are doctors, 48% are women, and 39% are doctors, what…

A: The following information has been given: The probability that people at a certain conference are…

Q: If an insurance sales representative has a 0.20 probability of making a sale on every call, what is…

A: Given that n = 6,p =0.20 Find P ( x >=2 ) = ?

Q: A poll is given, showing 60% are in favor of a new building project. If 10 people are chosen at…

A:

Q: Of the nine members of the board of trustees of a college, five agree with the president on a…

A: Note: As per Bartleby’s guideline for more than one questions only first is to be answered please…

Q: In a certain college, 20% of the physics majors belong to ethnic minorities.  If 10 students…

A: Given information- We have given a problem of the binomial distribution. Probability of the physics…

Q: 90 students, including JB and Jane, are to be split into three classes of equal size, and this is to…

A: The number of student in the class is 90. Number of parts the class is divided is 3.

Q: Of the nine members of the board of trustees of a college, five agree with the president on a…

A: Let  X be the number of agree with him  P(X>=2)= ?

Q: In a certain high school, 20% of the students belongs to the math club, 10% belongs to the student…

A: here define events student belongs to math club = M student belongs to council = C p(M) = 0.20  p(C)…

Q: Of the students living in the dormitories at a university, 58% live at west hall, and the rest at…

A: Given that 58% live at west hall, so (100-58)%=42% live at the south tower.  Given: A sandwich shop…

Q: a) What is the probability that exactly two of the selected bulbs are rated 23-watt? b) What is the…

A: nCr=n!r!n-r!   6 lightbulbs are 13 watt,5 are rated 18 watt,6 are rated 23 watt. 3 bulbs are…

Q: If two cards are selected successively from a well-shuffled pack of 52 cards, what is the…

A:

Q: Of 100 job applicants to the United Nations, 20 speak French, 30 speak German, and 14 speak both…

A:

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: In Bayside County, 45% of voters are registered Democrats. If three voters are selected at random,…

A: Given, P = 0.45 n = 3 x = 3 Here we use binomial distribution

Q: a) If you choose a person at random, what is the probability that the person is color-blind? b) If a…

A: E1: Men   P(E1) = 0.5 E2: Female  P(E2) = 0.5 A: Color Blind P(A|E1) = 0.05 P(A|E2) = 0.0025

Q: (a) What is the probability that exactly two of the selected bulbs are rated 23-watt? (b) What is…

A: AS PER POLICY I HAVE CALCULATED FIRST 3 SUBPARTS PLZ REPOST FOR OTHER PARTS here from given…

Q: In a large county in Central Texas, 41% of all registered voters are Democrats and 33% are…

A: It is given that the probability of registered voters are democrats is 0.41 and the probability of…

Q: Consider two people being randomly selected.  What is the probability that two people have a…

A: There are 12 months in a year Total month in a year = 12

Q: If 9 cards are dealt from an ordinary deck of 52 playing cards, what is the probability that exactly…

A: Solution: A standard deck of 52 playing cards contains 4 kings and 52–4=48 are non-kings. Here, 9…

Q: At a particular high school, 18% of the students participate in student council and 47% of the…

A: At a particular high school, 18% of the students participate in student council 47% of the students…

Q: if three balls are drawn at random, what is the probability that at least one of them is blue?

A: Three balls are randomly drawn from the box.The probability of at least one of them is blue can be…

Q: In a certain card game, four players are dealt 13 cards each from a conventional deck of 52 cards.…

A: Answer: - In a certain card game, four players are dealt 13 cards each from a conventional deck of…

Q: out of 180 law students surveyed, 90 took Contract Law, 50 took Administrative Law, and 20 took…

A:

Q: A poll is given, showing 20% are in favor of a new building project. If 10 people are chosen at…

A: Solution: Let X be the number of people favor the new building project and n be the sample number of…

Q: A poll is given, showing 45% are in favor of a new building project. If 10 people are chosen at…

A: We have to find given probability.

Q: Tom,Dick and Harry have three deck of cards.If each of them pick pne card from their own deck at…

A: Given,  Tom,dick and Harry have three deck of cards. Each of them pick one card from their won deck.…

Q: In a given​ county, records show that of the registered​ voters,50%are​ Democrats,40%are​…

A: