In a class of 2525 students, 3553​ of the class are boys, 2552​ of the class have ​blonde hair, and 1551​ of the class are boys with blonde hair.   ​ ​If one student is ​to be chosen at random from the class, what is the probability that the ​student is a boy or has blonde hair? ​Show your work on the scratchpad.

Q: 15% of the employees in a certain government organization have a postgraduate degree. If people are…

A: Given,p=0.15Let a random variable X~Geometric (p=0.15)P(X=x)=0.151-0.15x-1P(X=x)=0.150.85x-1  ;…

Q: In a factory, machine X produces 60% of the daily output and machine Y produces 40% of the daily…

A:

Q: Suppose a bag contains two coins, one coin is fair, and the other is a two-headed coin (heads on…

A: E1: Fair coin  P(E1) = 0.5 E2: Biased coin   P(E2) = 0.5 A: All three tosses are head P(A|E1) = 0.5…

Q: 11. At Athens country club 73% of the member play bridge and swim, and 82% play bridge. If a membet…

A: Given: Prob. that member play bridge and swim =0.73 Prob. that member play bridge  =0.82

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

A: Given Data: The probability that the student belongs to ethnic minorities is: p=33%=0.33 The total…

Q: In a certain​ country, the true probability of a baby being a girl is 0.474. Among the next seven…

A:

Q: 25% of the young people interviewed in a city have a relative with diabetes. If 22 of these young…

A: Given data, n=22 p=25%=0.25 P(X≥5)=?

Q: In a certain​ country, the true probability of a baby being a boy is 0.45. Among the next seven…

A:

Q: In a certain college, 20% of the physics majors belong to ethnic minorities. If 10 students selected…

A:

Q: According to one source, 1 in 7 Americans struggled with hunger in a recent year. Two Americans are…

A: Given data  P(struggle with hunger) = p =1/7 Select two at random .

Q: In a small City, approximately 22% of those eligible are called for jury duty in any one calendar…

A: It is given that, approximately 22% of the eligible, in a small city, are called for jury duty in…

Q: According to a​ survey,61​%of murders committed last year were cleared by arrest or exceptional…

A: Givenp=0.61n=50x~Binomial(n=50,p=0.61)P(X=x)=(nx)×px×(1-p)n-x   ; x=0,1....,n

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

A: From the provided information, 33% of the physics majors up along to ethnic minorities (p) = 0.33…

Q: In a city 20% of the cars are electric, 16% of the cars are red, and 13% of the cars are red…

A: From the given information, The probability of cars are electric is, 0.20 The probability of cars…

Q: Suppose there is a 24.6% probability that a randomly selected person aged 40 years or older is a…

A:

Q: Suppose that an employer plans to hire four people from a group of nine equally qualified people of…

A: Total number of candidates = 9, minority candidates = 3.

Q: In a factory, robots 1, 2, and 3 produce wires of the same length, with 2%, 1%, and 3% defective…

A:

Q: a factory produces fuses, which are packaged in boxes of 12. three fuses are selected at random from…

A: The fuses are packaged in 12 boxes.

Q: A lie detector is known to be 70% reliable when the person is quilty and 95% reliable when the…

A: The machine is reliable when person is guilty is 70% The machine is reliable when person is not…

Q: In a class of 25 students, 3 of the class are boys, - of 5 the class have blonde hair, 5 1 of the…

A: Total number of students = 25 Number of boys B = 35 of the class  number of students with blonde…

Q: Let 3% of the items made by a factory are defective. Find the probability that there are 4 defective…

A:

Q: In a certain country, the true probability of a baby being born a boy is 0.525% Among the next four…

A: Given that, Probability that a baby being born a boy is 0.525 Now, from the next four randomly…

Q: A team of 6 students from a pool of 10 students is being formed. Assume the students have different…

A: Formula : Binomial distribution is given by

Q: In a class of 25 students, 3/5​ of the class are boys, 2/5of the class have ​blonde hair, and 1/5​…

A: We have to find given probability.

Q: Suppose 30% of smoke alarms produced by a company are defective. A family purchases 3 smoke alarms…

A:

Q: here are 500 seniors at a certain high school, of which 230 are males. It is known that 30% of the…

A: Using Tree diagram I have answered it

Q: In a certain​ country, the true probability of a baby being a girl is 0.485. Among the next seven…

A:

Q: A poll showed that among potential voters, 36% support Candidate A in the upcoming election, 36%…

A: Q1. Given, P(A) = 0.36 , P(B) = 0.36 , P(C) = 0.28 C = Undecided…

Q: In a certain​ country, the true probability of a baby being a girl   is 0.484 . Among the next…

A:

Q: A survey of 8 students was taken regarding their favorite subject, food, and sport and the results…

A: Total students , n = 8   a. a student whose favorite sport is soccer and favorite subject is English…

Q: A ball is drawn from the fırst box and transferred unseen to the second box. If a ball is now drawn…

A: Here use tree diagram

Q: 3. A professor of a law school observe that 25% of students who get admitted to the freshman class…

A: Given that a professor of a law school observe that 25% of students who get admitted to the freshman…

Q: A certain cancer is found in one person in 5000. if a person does have the disease, in 92% of the…

A: Given Information: A certain cancer is found in one person in 5000. If a person does have the…

Q: In a certain​ country, the true probability of a baby being a girl is 0.477. Among the next seven…

A: We have to find given probability.

Q: A manufacturer obtains​ clock-radios from three different​ subcontractors: 30​% from​ A, 40​% from​…

A:

Q: In a small city, approximately 23% of those eligible are called for jury duty in any one calendar…

A: Given that approximately 23% of those eligible are called for jury duty in any one calendar year.…

Q: According to a​ survey, 64​%of murders committed last year were cleared by arrest or exceptional…

A: Given Information :  According to a​ survey, 64​% of murders committed last year were cleared by…

Q: Suppose 5 men out of 100 and 25 women out of 10,000 are color blind. A color blind person is choosen…

A:

Q: If 1 day of the week is chosen at random to be Mary's day to mow the lawn, what is the probability…

A:

Q: If N persons are seated at a round table find the probability that two named persons are neighbours…

A: Here Given  N persons seated at a round table.

Q: 19. In a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students are…

A: We have given that  Success of probability p =33%=0.33 Number of trials n=10 X~binomial ( n ,p)

Q: In a second-grade class containing 13 girls and 9 boys, 2 students are selected at random to give…

A:

Q: A manufacturer obtains​ clock-radios from three different​ subcontractors: 40%from​ A,10%from​ B,…

A: It is given that a manufacturer obtains clock-radios from three different subcontractors are 40%…

Q: At a local racetrack, each race has 5 horses. Assume that the horses are equally matched in the race…

A: Number of horses in each race = 5 Probability of winning of a horse=p= 15=0.2 Number of races in the…

Q: an unfair coin with Pr[H]=0.85 is flipped. If the flip results in a head, one student is selected at…

A: The given probability is PrH=0.85, then the probability of tail is PrT=0.15. Let B be the student is…

Q: A ball is drawn from an urn containing 5 white and 4 black balls. After the ball is drawn, it is…

A: Given Data: Let X represent the number of white balls n=3 p=5/9

Q: In a certain school of blind people, it is known that 1/4 of the blind are under 7 years of age. It…

A: Given that, In a certain school of blind people, it is known that 1/4 of the blind are under 7 years…

Q: Suppose that 30% of people have a dog, 17% of people have a cat, and 10% of people own both. What is…

A:

Q: From a group of 50 students at a university (10 students per year) a coordinating committee of 4…

A: Answer : - Given,   a group of 50 students at a university (10 students per year).…

Q: Suppose it is known that 3% of cigatette smokers develop lung cancer, whereas only 0.5% of…

A: