In a country, 90% of the graduates are citizens, 70% of the citizens graduates are employed while only 20% of the non- citizens graduates are employed. What is the probability that a randomly selected graduate is a citizen, given that the selected graduate is employed?

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: 40% of the managers in an international company have traveled abroad, 50% of them can speak foreign…

A: Let event T:Manager travelled abroad event F:Manager can speak foreign language. PT=0.4 therefore…

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 certain population of women, 40% have had breast cancer, 20% are smokers and 13% are smokers…

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

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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 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: 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: 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: In a country, 70% of the graduates are citizens,60% of the citizens graduates are employed while…

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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: 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 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 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: 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…

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

A: We have given, 30 student's from Ankara, 50 student's from Istanbul,  20 student's from other…

Q: A survey reveals that 20% of the girls are Riphah come from remote areas. If 20 Riphah Girls are…

A: Binomial distribution is discrete distribution that deals with the probabilities of success and…

Q: According to a recent​ study, 64​% of households from a certain large region no longer have a…

A: The random variable cell phone service follows binomial distribution. The value of the proportion is…

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 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: 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: 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: 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…

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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 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: What is the probability that, if three identical coins were flipped, all would end up heads? What is…

A: If three identical coins are tossed then the sample space is S = {HHH, HHT, HTH, THH, HTT, THT, TTH,…

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

A:

Q: In a particular community, 70% of the voters are Democrats, and 30% are Republicans. Sixty percent…

A:

Q: A manufacturer of laptops reports that among a shipment of 5000 sent to a local distributor, 1000…

A: Given: Number of laptop purchased is, n=10. Total number of shipment of laptop is, N=5000. Number…

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

A:

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…

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Q: Approximately half of the customers who shop at a particular grocery store are loyalty club members.…

A: Approximately half of the customers who shop at a particular grocery store are loyalty club members.…

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: For a box containing 25 matches dropped into water, what is the probability that fewer than three of…

A: Let p be the probability that a match will light. Given that p = 0.17 Let X denote the number of…