A technician is launching fireworks near the end of a show. Of the remaining twelve fireworks, five are blue and seven are red. If he launches five of them in a random order, what is the probability that exactly two of them are blue ones?

Q: If a student is picked at random, what is the probability that a) he or she is a full-time student…

A: The data is given by   No work part time work full time work Total Full time student 0.15 0.22…

Q: About one in every five Canadian residents were born outside of Canada. If 12 Canadian residents are…

A: # Given, one in every fire Canadian residents were born outside of Canada Then fr(outside) = 1/5…

Q: In a large population, 54 % of the people have been vaccinated. If 5 people are randomly selected,…

A: Given data: 54% of the people have been vaccinated.

Q: An insurance company has determined that each week an average of five claims are filed in their…

A: (a) Obtain the probability that during the next week exactly seven claims will be filed. The…

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: Three people have been exposed to a certain illness. Once exposed, a person has a 50-50 chance of…

A:

Q: In a large population, 59 % of the people have been vaccinated. If 3 people are randomly selected,…

A: Binomial distribution:It is a discrete probability distribution that has exactly two outcomes for…

Q: At a certain college, there were 600 science majors, 200 engineering majors, and 400 business…

A:

Q: In a nearby​ town, 68​% of adults have health insurance. If 7 adults are randomly selected from the​…

A: Here p =P(having health insurance) = 68% =0.68

Q: A hockey coach was taking her team out to a picnic lunch to celebrate their first win. She made 7…

A: Here we should find the probability that all of them are hummus.

Q: A golf ball is selected at random from a golf bag. If the golf bag contains 5 type A balls, 8 type B…

A: Here  the golf bag contains 5 type A balls, 8 type B balls, and 3 type C balls, Then, total balls =…

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: At a certain college, 28% of the students major in engineering, 18% play club sports, and 5 both…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

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: If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the…

A: If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the…

Q: At a car manufacturing plant, 10% of cars have some sort of defect when they come off the line. If…

A:

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 sweepstakes, 100,000 entries have been received. If 1 Grand Prize, 5 First Prizes, 25 Second…

A: See the below solution

Q: a man is dealt with four diamond cards from an ordinary deck of 52 cards. If he is given five more…

A: A standard deck of cards has four suites: hearts, clubs, spades, diamonds Each suite has 13 cards:…

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

A: According to the provided data, the probability of any individual being hopelessly romantic is 10%,…

Q: You have five shirts, two pairs of shorts, and two pairs of sandals with which to make a summer…

A: Introduction: Each summer outfit would consist of exactly one shirt, one pair of shorts, and one…

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 large population, 64 % of the people have been vaccinated. If 4 people are randomly selected,…

A: Proportion of people vaccinated (p) = 0.64 Proportion of people not vaccinated (q) : q=1-pq=0.36 n =…

Q: A group of volleyball players consists of four grade-11 students and six grade-12 students. If six…

A: Probability is the chance of occurrence of an event.

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

A:

Q: About 14​% of the population of a large country is hopelessly romantic. If two people are…

A:

Q: If two cards are selected successively from a well-shuffled pack of 52 cards, what is the…

A:

Q: At a hot air balloon festival, Terrell made note of how many passengers were in each balloon and the…

A: We have to find out the probability for contingency table.

Q: The athletic department of a school has 16 full time coaches, and 4 of them are female. The director…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

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 150 men, 70 have played pool at least once. Suppose one of these 150 men is randomly…

A: Given that there are total 150 men.  Out of 150 men, 70 have played pool at least once.

Q: In a school of 100 students, 70 students play either football or cricket with 40 students that play…

A:

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: In a coffee shop "Scratch and Win" contest, one out of three cards is a winner. What is the…

A: From the given information, one out of three cards is a winner. P(winner)=1/3 Let us consider, the X…

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: if three balls are drawn at random, what is the probability that at least one of them is blue?

A: Three balls are randomly drawn from the box.The probability of at least one of them is blue can be…

Q: • Three married couples have purchased theater tickets and are seated in a row consisting of just…

A: Given Three married couples Are seated in row consisting of just 6 seats Find out the probability.…

Q: In a large population, 70 % of the people have been vaccinated. If 5 people are randomly selected,…

A: Solution: Let X be the number of people has been vaccinated and n be the sample number of people…

Q: A golf ball is selected at random from a golf bag. If the golf bag contains 8 type A​ balls, 5…

A: No.of type A balls =  8 No.of type B balls = 5 No.of type C balls = 6 Total number of balls =19…

Q: In a certain card game, four players are dealt 13 cards each from a conventional deck of 52 cards.…

A: Answer: - In a certain card game, four players are dealt 13 cards each from a conventional deck of…

Q: 1) A technician is launching fireworks near the end of a show. Of the remaining seventeen fireworks,…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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

A:

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: If a sack contains eight blue marbles and ten red marbles, and you randomly select four, what is the…

A: The sack contains 8 blue and 10 red marbles.

Q: Four hundred fifty of the six thousand students at Ocean State College like math, three thousand…

A: Let us denote:M=MathE=English S=total studentsGiven that n(M)=450, n(E)=3500, n(S)=6000, n(M or…

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

A:

Q: If you flip 10 fair coins, what is the probability that: (a) Exactly 5 of them are “heads”? (b) At…

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.