In a country, 80% of the graduates are citizens,65% of the citizens graduates are employed while only 22% of the non- citizens graduates are employed. What is the probability that a randomly selected graduate is non-citizen, given that the selected graduate is employed?

Q: An Undergraduate Study Committee of 6 members at a major university is to be formed from a pool of…

A: Hypergeometric distribution:A random variable x is said to follow a Hypergeometric distribution, if…

Q: At a certain​ hospital, 18 patients have lung​ cancer, 16 patients​ smoke, and 14 have lung cancer…

A: It is given that, The hospital contains 90 patients. Number of patient who has lung cancer = 18…

Q: A customs inspector decides to inspect 3 of 16 shipments that arrive from Madrid by plane. If the…

A:

Q: At WSU hospital, 64% of patients have water on the knee, 45% have butterflies in the stomach, and…

A: Given: suppose  A = patient is having water on the knee PA=0.45 B = patients are having butterflies…

Q: In a recent survey, 18 people preferred milk, 29 people preferred coffee, and 13 people preferred…

A: Probability of an event is computed by taking the ratio of number of favourable outcomes to total…

Q: A population of women has 40% with dark eyes. If a sample of 20 women are selected from this…

A: Given: p=0.4 n=20 Let X~B(n,p)

Q: The local nursery is waiting for its spring annuals to be delivered, and 20% of the plants ordered…

A: Here, p is 20% and n is 120.

Q: A poll finds that 72% of Jacksonville consider themselves football fans. If you randomly pick two…

A: According to the provided information, 72% Jacksonville consider themselves football fans. So, the…

Q: In a Internee program at Airline Company, 45 percent of the internees are female and 55 percent…

A: 1) Let 'F' represent the females, and 'M' represent the males. Similarly, 'B' represent the business…

Q: 66% of students at one college drink coffee, and 13% of people who drink coffee suffer from…

A: Given: Probability of students who drink coffee = 0.66 Probability of students who drink coffee…

Q: Out of 10 cars in a car sales service, the air conditioner is defective. For a company that buys 4…

A: Given that Total number of cars = 10  Number of Defective car = 1

Q: A box contains 8 bulbs, of which 5 are good and 3 are defective. If 3 bulbs are randomly taken from…

A: Given that  Total bulbs=8 Good bulbs=5 Defective bulbs=3 3 bulbs are chosen at random

Q: The results of a recent survey indicate that 71% of people in the United States use more than one…

A:

Q: A sample of automobile dealerships found that 19 % of automobiles sold are silver. If two cars are…

A: Given Information: 0.19% of the automobiles sold are silver. Two cars are selected randomly.

Q: A jury of 12 people is selected randomly from the population. If it is known that approximately half…

A: Solution

Q: In a large city, 37% of all restaurants accept both master and visa credit cards, and 50% accept…

A: #  Let us assume,     M=Master credit card.     V=Visa credit card.     PM∩V=37%=0.37…

Q: Recent research suggests that 73% of Americans have a home phone, 83% have a cell phone, and 58% of…

A: Given:

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: In a particular community, 60% of the voters are Democrats, and 40% are Republicans. 44% of the…

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Q: A box contains 20 DVDS, 4 of which are defective. If two DVDS are selected at random (without…

A:

Q: According to a recent​ report, 30​% of new businesses in 2013 were started by women and 70​% of new…

A: Given that P(new business women) = 0.3 P(new business men)=0.7 P(above 50,000) /new business women)…

Q: One-sixth of the male freshmen entering a large state school are out-of-state students. If the…

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Q: A company has 140 employees of which 30 are supervisors. Eighty of the employees are married and 20…

A: Given data, P(Married)= 80/140 = 0.5714 P(Supervisor | Married)= 0.20 P(Married and supervisor)=?

Q: In a second grade class containing 14 girls and 11 boys, 2 students are selected at random to give…

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Q: In a county where factories have to be tested for the emission of pollutants, 32% of all factories…

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

A:

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

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Q: In a market study, a researcher found that 70% of customers are repeat customers. If 10 customers…

A:

Q: A box with 15 silicon chips contains five defective chips. If a random sample of three chips is…

A: Given problem Given that   A box with 15 silicon chips contains five defective chips. Total…

Q: In a certain science degree program, 25 percent of the students failed their mathematics exam, 15…

A:

Q: Ninety-nine percent of all babies survive delivery. However, 25 percent of all births involve…

A: Given Information: 99% of all babies survive delivery. 25% of all births involve Caesarean…

Q: In a certain community, 36 percent of families own a dog, and 30 percent of families own a cat. What…

A: A = families own a dog B= families own a cat  P(A)=36%=0.36 P(B)=30%=0.30

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: In a city 30% of the houses and 60% of the condominiums use natural gas for heating. 65% of the…

A:

Q: At a certain hospital, 36 patients have lung cancer, 28 patients smoke, and 24 have lung cancer and…

A: Topic = Probability

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: Over the course of a shipping season, 50% of the boats entering Winnipeg Harbour are registered in a…

A: Let x be the number of ships registered in foreign country and x~Bin(n=10, p=0.50) prob.  of x…

Q: A certain group of women has a 0.29​% rate of​ red/green color blindness. If a woman is randomly​…

A: Given, A certain group of women has a 0.29​% rate of​ red/green color blindness. Let P(A) = 0.29% =…

Q: a) If 20 melanoma patients are given Interleukin-2 plus a vaccine, what is the probability that…

A: Given: Number of patients = 178 Group A received interleukin-2 only, Group B received interleukin-2…

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

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Q: In a summer camp, 48% of the children are enrolled in swimming and 40% in tennis. One-third of the…

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

A:

Q: In a marketing research survey, people are interviewed about product usage. One of the questions is…

A: Given: Probability of brand A, P(A)=14%P(A)=0.14 Probability of brand B, P(B)=9%P(B)=0.09 The…

Q: In a management trainee program, 80 percent of the trainees are female, 20 percent male. Ninety…

A: It is important in statistics . It is widely used nowadays .

Q: A classroom has five students wearing glasses and 16 students not wearing glasses. If we randomly…

A:

Q: A box contains 20 DVDs, 4 of which are defective. If two DVDs are selected at random (without…

A: Given,no.of defective DVDs=4no.of good DVDs=16Total no.of DVDs=20

Q: In a city of 180,000 people there are 20,000 legal immigrants from Latin America. What is the…

A: Given: The total number of people in a city are N=1,80,000. The number of legal immigrants from…