In a certain college town, 35% of the students failed math, 17% failed chemistry, and 13% failed both math and chemistry. A student is selected at random. If he failed chemistry, what is the probability that he failed math? (Round your answer to 4 decimals places. Do NOT give a percentage.)

Q: At TCNJ, 35% of the engineering majors belong to ethnic minorities. If 6 students are selected at…

A: Given,n=6p=0.35X=no.of students belong to ethnic minorityX~Binomial (n=6 , p=0.35)P(X=x)=nx pxqn-x…

Q: From experience, an airline knows that only 85% of the passengers booked for a certain flight…

A: Given Information :  From experience, an airline knows that only 85% of the passengers booked for a…

Q: The Royal Armouries Museum receives 48 people per hour during weekdays. What is the probability of…

A: Let X denote the number of people receive in 5 minutes. It is given that Number of people in 60…

Q: Of the drivers who stop at a gas station, 91% purchase gasoline, and 5% purchase both gasoline and…

A: Given : Of the drivers stopping at a gas station, 91% purchase gasoline, 5% purchase both gasoline…

Q: Carson has a 30% chance of beating his brother in a race. If they raise 10 times, what is the…

A: (n C r) prqn-r

Q: The finance class has 11 students, what are the odds that all 11 students are men? what is the…

A: Odds in favor of an event is defined as the ratio of the number of outcomes favorable to that event…

Q: About 10% of the population of a large country is hopelessly romantic. If two people are randomly…

A: Independence of Events: Two events A and B with P(A), P(B) > 0, are said to be independent if,…

Q: About 13% of the population is left-handed. If two people are randomly selected, What is the…

A:

Q: Sixty percent of the tourists in London go to Buckingham Palace and forty percent visit Kensington…

A: Solution: Let A be the  event that tourists in London go to Buckingham Place. and B be the event…

Q: If you are interested in the probability of two successes out of five trials, what is the correct…

A: Given  Let p be the probability p=0.30,  n=5. X~Bin(n=5,p=0.30) P(X=2)=?

Q: What is the probability that he will pass the exam, if the passing rate is 60%.

A: here given ,  exam is multiple choices , each question have 4 choices  p = probability of correct…

Q: If you roll three (six sided) dice, what is the probability that all three will show a 6? Leave your…

A: Obtain the probability that all three will show a 6. The probability that all three will show a 6 is…

Q: In Riyadh region, past records revealed that 70% of all the high school graduates go to…

A: Let p be the probability that high school graduate goes to universities. Given that p = 0.70 Let X…

Q: ACcording to a 2009 Reader's Digest article, people throw away about 12% of what they buy at the…

A: Defines that p is true proportion of the number of people, who throw away what they buy at the…

Q: Eight percent of Americans have a master’s degree. If five Americans are selected at random, what is…

A: Let X represent random variable   n=5 p=0.08   X~ binomial (5, 0.08)

Q: Given that a random student plays music, what is the probability that the student does not play…

A: It is given that the number of students play music is 18+5 = 23.

Q: In a large population, 57% of the people have been vaccinated. If 3 people are randomly selected,…

A: Obtain the probability that that at least one of them has been vaccinated. The probability that that…

Q: Past records of a factory show that 4% of the candles produced are defective. What is the…

A:

Q: Given a standard deck of playing cards, what is the probability that you randomly choose a King and…

A: Probability: If a random experiment results in n mutually exclusive and equally likely outcomes; out…

Q: In a recent study nationwide, it was found that 52% of people like college football better than…

A: Answer: Given that: p= 0.52 , n= 2 now will use Binomial probability P(X=x)=nx*px*(1–p)n–x,where…

Q: A physician said that 42 percent of his patients have allergic reaction to antihistamine. What is…

A:

Q: About 35% of Americans will admit that they waste time regularly at work. A poll of 100 Americans is…

A: Given,

Q: The director of a film festival received 7 submissions, 5 of which were romantic comedies. If the…

A:

Q: If the probability that the Islanders will beat the Rangers in a game is 1/3, what is the…

A: Given P=1/3 q=1-1/3=2/3

Q: A school survey found that 7 out of 30 students walk to school. If two students are selected at…

A:

Q: According to a study conducted by the a public health school, a child seated in the front seat who…

A: Let the events,A: Airbag deploys during an accident,K: Child is killed.It is given that airbags…

Q: An exit poll during a recent election revealed that 55% of those voting were women and that 65% of…

A: P(A|B) = P(A∩B)P(B)

Q: A set of traffic lights shows green for 45 seconds, amber for 5 seconds and red for 30 seconds. When…

A: It is given that the set of traffic lights shows green light for 45 seconds, amber light for 5…

Q: The probability that a house in an urban area will develop a leak is 6​%. If 13 houses are…

A: Given : The probability that a house in an urban area will develop a leak is 6​%. 13 houses are…

Q: Neil has a collection of 8 dice, 5 of which have four sides. If Neil randomly rolls 4 dice, what is…

A:

Q: In the past 20 races, there was two A-class horses to participate in each race. And there was ten…

A: two A class horses participate in each race but only one can win championship. and out of 20 races…

Q: If Kyle were to randomly select a girl to explain why she likes the sport chosen, what is the…

A:

Q: In a technology company, it is known that the average of network failure is 2 per week. What is the…

A: Let X denote the number of failures per week.  It is given that Average number of failures = 2

Q: At Frosty Freeze, 5 of the last 20 sundaes sold had nuts. What is the experimental probability that…

A: 5 have nuts 15 have not nuts 20 total sundaes P(next sold have nuts) = ?

Q: The probability that four randomly selected high school drivers all drove when drinking alcohol is

A: Given: Drove when drinking alcohol Yes No Total Texted while driving 737 3027 3764 No Texting…

Q: The probability that a house in an urban area will develop a leak is 55​%. If 22 houses are…

A: Let "X" be the houses that will develop a​ leak.

Q: According to a study conducted by the a public health school, a child seated in the front seat who…

A:

Q: A convenience store estimated that 22% of its customers come in to buy milk. What is the probability…

A:

Q: We roll a pair of dice three times. What is the probability of rolling an even total exactly once?

A: The probability of rolling an even total exactly once is 0.5.The probability of rolling an even…

Q: According to a study conducted by the a public health school, a child seated in the front seat who…

A: Let C= event that a child was killed B= event that the airbag deployed Given that P(C|B)=1.79P(C|B')…

Q: On a True/False quiz, what is the probability of guessing 5 out of 10 questions correctly?

A: It is given that n = 10.

Q: If the probability that the Islanders will beat the Rangers in a game is 5/6, what is the…

A:

Q: The US population is 13% African American.  If you were to take a SRS of 500 Americans, what is the…

A: It is given that the sample size n is 500 and p hat = 0.13.

Q: A coin is tossed six times. What is the probability of obtaining four or more heads ?

A:

Q: If the probability that the Islanders will beat the Rangers in a game is 81%, what is the…

A:

Q: If the probability that the Islanders will beat the Rangers in a game is 85%, what is the…

A:

Q: A researcher believes that 8 % of pet dogs in Europe are Labradors. If the researcher is right, what…

A: Where,

Q: According to government data, the probability that an adult was never in a museum is 15%. In a…

A: It is given that n = 10 and p = 0.15.

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.