A PhD graduate has applied for a job with two universities, A and B. The graduate feels that she has a 60% chance of receiving an offer from university A, and a 30% chance of receiving an offer from university B. If she receives an offer from university B, she believes that she has an 70% chance of receiving an offer from university A. What is the probability that both universities will make her an offer?

Q: A gardener plants 26 tomato seeds from a packet of seeds that guarantees an 85% germination rate.…

A: Consider X denotes germination rate which follows binomial distribution with n=26 and p=0.85.

Q: Based on experience, 60 percent of the people who enter a shoe store make a purchase. In a random…

A: 60 percent of the people who enter a shoe store make a purchase. Hence the probability that a…

Q: A survey conducted on a randomly selected day for an ice cream truck showed that 68% of customers…

A: The conditional probability is computed as PAB=PA∩BPB

Q: A hair stylist knows that 87% of her customers get a haircut and 40% get their hair colored on a…

A: GivenLet "H" be the customers get haircutP(H)=0.87Let "C" be the customers get their hair…

Q: 10. Customers are used to evaluate preliminary product designs. In the past, 95% of highly…

A:

Q: a recent survey indicates that 62% of HKU students who registered in an Economics course have…

A: We have to find out given probabiity..

Q: A college graduate believes he has 60% chance of getting a particular job. Historically, 75% of the…

A: In question, Given that a college graduate believes he has 60% chance of getting a particular job.…

Q: 36% of customers at the snack counter of a movie theater buy soft drinks.     Among those who buy…

A:

Q: B. A college graduate believes he has 60% chance of getting a particular job. Historically, 75% of…

A:

Q: A firm io accuotomed to training operatoro who do certain taoko on a production line. Those…

A: Let C denotes event that the operator attended the training course given that , P(C) = 0.5 Hence,…

Q: The two-way table summarizes whether or not a cross country team had practice when it was raining…

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

Q: placekicker in pro football has a 77% probability of making a field goal over forty yards on each…

A: Given: Each attempt that is made to field goal is independent. The team will win if a goal is made…

Q: A statistician determines that a certain baseball player (Player A) managed to hit a home run in 30%…

A:

Q: Q. 2 Of 200 employees of a company, a total of 120 smoke shisha; 60% of the shisha smokers are male…

A: Using the provided information, the table is:   Smokers Non smokers Total Male 72 64 136…

Q: A recent survey indicates that 7% of all motor bikes manufactured at Craig's factory have  defective…

A:

Q: A behavioral psychologist places a rat each day in a cage with two doors, A and B. The rat can…

A: a) From the given information, there are two doors A and B.  The rat can go through door A, where it…

Q: (a) Student A would like to visit a country where 92% of the population speaks the native language.…

A: Hi! Thank you for the question As per the honor code, We’ll answer the first question since the…

Q: Exercise 25 In a group of 30 people, 15 of them have brown eyes, 12 have black hair, and 5 have both…

A: Given: total = 30 brown eyes = 15 black hair = 12 brown eyes and black hair = 5

Q: At a college, 24% of all students are taking a course in solar design, 38% are taking a course in…

A:

Q: The probability that a person on a certain beach will buy ice cream is 0.29. A. What is the…

A: Given Data: p=0.29 where p is the probability that a person on a certain beach will buy ice cream…

Q: As a promotional offer, a newly opened movie theatre is awarding 18% of their new patrons with a…

A: Out of all the patrons, only 18% are complimentary dinner and 82% are given free drink Out of all…

Q: 2. Customers are used to evaluate preliminary product designs. In the past, 95% of highly successful…

A: Let, A = highly successful product B = moderate success C = poor product D = product attains a good…

Q: A company has found that 31% of all customers contacted will buy its If 6 customers are contacted,…

A:

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

A:

Q: A restaurant analyzed the orders of his customers, and noticed that: 75% of the customcrs bought…

A: Image is attached with detailed solution.

Q: Due to a manufacturing​ error, 9 cans of regular soda were accidentally filled with diet soda and…

A: Given that, Due to a manufacturing​ error, 9 cans of regular soda were accidentally filled with diet…

Q: 2. Customers are used to evaluate preliminary product designs. In the past, 95% of highly successful…

A: Let A= highly successful product B= Moderate success C= Poor product S= Product attains a good…

Q: A study reports that 53% of Americans support increased funding for public schools. If 3 Americans…

A: We have to find out the binomial distribution probabilities.

Q: opose that nine hundred twenty-five residents were rando y have covid vaccine booster shot from…

A: Solution

Q: An experienced teacher writes an exam so that, on average, about 5% of students will earn an A…

A:

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

A: Consider that the random variable x defines the number of injuries for the people who skateboard.

Q: In a New York Times article a reporter stated that seventy three percent of its readers favored the…

A: Given that, Seventy three percent of its readers favored the cartoon section.  Sample size, n = 14

Q: 3. Dwight Howard has a free throw percentage of 56.5% which means he successfully makes a free throw…

A: Given that, Dwight Howard makes a free throw 56.5% of the time. Say he decided to shoot two free…

Q: A recent survey indicates that 7% of all motor bikes manufactured at Baloyi factory have defective…

A:

Q: ) A recent survey indicates that 7% of all motor bikes manufactured at Baloyi factory have defective…

A:

Q: A survey found that 25​% of consumers from a Country A are more likely to buy stock in a company…

A: Use excel formula "=NORM.S.DIST(0, TRUE)" to find the probability.

Q: A survey of customers at a retail chain store showed that 23% received a discount on their purchase…

A:

Q: a group of 200 students includes 120 who watch television news, 80 who read a newspaper, and 60 who…

A: Let A=television=120,  B=read newspapers=80   We want to find the following probability  A) P(A or…

Q: What is the probability that a randomly selected person from the sample is a non-smoker? b. What is…

A: The data is given by   Coffee No Coffee Total Smoker 60 40 100 Non-smoker 115 85 200 Total…

Q: The probability of getting a credit in an examination is 1/3. If three students are selected at…

A: Probability

Q: In the cookie jar there are 8 Chocolate Chip cookies, 5 Oreos and 2 Sugar cookies. What is the…

A: Dependent events influence the probability of other events or their probability of occurring is…

Q: A survey of top executives revealed that 31% of them regularly read Time magazine, 19% read…

A: Givenpercent of executives read Time magazine=31%P(Time magazine)=0.31Perccent of executives read…

Q: A study was conducted to better understand the television habits of married men and women during…

A:

Q: 13% of customers at the snack counter of a movie theater buy soft drinks. Among those who buy soft…

A: (b) Given that, 44.3% of the personnel music band have a flaw. If the player has this flaw it will…

Q: Assume that the critic finds that 30 percent of the movies have positive comments about the plot, 55…

A: Let us denote: A= positive comments about the plot B=positive comments about the acting   Given…

Q: Suppose that during this time of virus, 56% of people outside are wearing face masks. If you walk…

A: From the provided information, 56% of people outside are wearing face masks that is p = 0.56 Sample…

Q: According to the administrative data from school, 76% of the students have a part-time job. Suppose…

A: Let P denote part-time job and S denote senior. Given: PP=0.76PS=0.28PP∩S=0.21 The probability that…

Q: A web security firm requires all job applicants to submit to drug testing. If the applicant has used…

A: 1.

Q: In a campus restaurant it was found that 35% of all customers order vegetarian meals and that 50% of…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: a car has established that 40% of his potential customers prefer single cab cars while 60% prefer…

A: Given, Let, A be the event that denotes the prefer  single Cab B be the event that denotes prefer…

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.