In a certain population of women, 40% have had breast cancer, 20% are smokers and 13% are smokers and have had breast cancer. If a woman is selected at random from the population, what is the probability that she had breast cancer, smokes or both?

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: 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 community, 16% of the families own a dog, and 25% of the families that own a dog also…

A: Given: Probability family owns a dog, P(D)= 0.16 Probability family owns a cat, P(C)= 0.34 The…

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

A:

Q: A consumer organization estimates that over a​ 1-year period 18​% of cars will need to be repaired​…

A: It is given that, P(repaired once)=0.18 P(repaired twice)=0.05 and P(three or more repairs)=0.04.

Q: If a card is chosen at random from a pack of cards, what is the probability that the card is from…

A: From the provided information, Total number of cards in standard deck = 52 Total black cards = 26…

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: 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: A western city has 20 police officers eligible for promotion. Eleven of the 20 are men. Suppose only…

A: Q14. In this situation the hyper geometric distribution is appropriate to use. The probability…

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: Sports science researchers determined that, for those people who skateboard, 22% have never had an…

A:

Q: At a car manufacturing plant, 20% of cars have some sort of defect when they come off the line. If…

A: The Binomial probability distribution is: PX=xnxpx1-pn-x In the formula, n denotes the number of…

Q: A cell phone company found that 75% of all customers want text messaging on their phones, 80% want…

A: Given: Let's say that the total population is 100. Number of people want messaging is 75 Number of…

Q: In a group of 40 people, 10 are healthy and every person the of the remaining 30 has either high…

A: Note: Hi! Thanks for posting the question. Since there are more than three sub-part questions, we…

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: In a town of 5000 people, 1000 are over 60 years old and 2000 are female. It is known that 40% of…

A: Given: Total People in town=5000Number of people over 60=1000Number of females=2000Number of female…

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: 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: 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: In a certain Soccer League, there are 23 boys from Orange County Soccer Club, 13 girls from Orange…

A:

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: 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: From a well-shuffled standard deck of 52 cards, one card is to be selected. What is the probability…

A: Given that  There are 52 card in the deck in which they divided into two color i.e red(26) and black…

Q: If you have a drawer that holds 5 black t-shirts, 10 blue t-shirts, and 7 white t-shirts, what is…

A: Solution: It is given that a drawer holds: 5 black t-shirts 10 blue t-shirts 7 white t-shirts…

Q: A hotel has 20 rooms on the first floor, 60 rooms on the second floor, 40 rooms on the third floor,…

A: Probability: The formula for probability of an event E is as follows:

Q: At a car manufacturing plant, 20% of cars have some sort of defect when they come off the line. If…

A: Given dataProbability of defect in a car(p) = 0.20n = 99According to Binomial theoremProbability of…

Q: In a group of 100 sports car buyers, 40 bought alarm systems, 30 purchased bucket seats, and 20…

A: Let  A be am event that alarm bought  B  be an event that bucket seat is bought   Given ,  Required…

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: If a family has four children, is it more likely ... they will have two boys and two girls or three…

A: Let us denote X=the number of boys   n=number of trials=4 p=probability of success=1/2 =0.5   X…

Q: A consumer organization estimates that over a​ 1-year period 19​% of cars will need to be repaired​…

A:

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 group of dogs, 20 dogs are poodles and 30 dogs are beagles. If a dog is selected at random,…

A: We want to find the probability a beagle is selected

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: In a certain Soccer League, there are 23 boys from Orange County Soccer Club, 13 girls from Orange…

A:

Q: In a survey of 400 households, 360 said they own a VCR, 170 said they own a DVD player and 19 said…

A: From the given information, 360 said they own a VCR 170 said they own a DVD player and 19 said they…

Q: In a survey of 98 baseball fans in NYC, 51 were fans of the Mets, 68 were fans of the Yankees and 34…

A: Given that there total 98 fans And we have to find probability of picking one random fan who is…

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

A:

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

A: Solution-: Given: n=10,p=0.33 We find, P[no more than 6 belong to an ethnic minorities]=?

Q: What is the probability that a five-card poker hand contains two pairs (that is, two of each of two…

A: Given What is the probability that a five-card poker hand contains two pairs

Q: In a certain community, 40% of the family have a pool in the backyard, 65% have kid(s) and 30% have…

A:

Q: If a ball is selected at random from an urn containing three red balls, two white balls, and five…

A: According to the provided information, there are 3 red balls, 2 white balls, and 5 blue balls

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: You are in a 12-member panel. If two people from the panel are selected to represent the panel, what…

A:

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

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.