In a home theater system, the probability that the video components need repair within 1 year is 0.01, the probability that the electronic components need repair within 1 year is 0.005, and the probability that the audio components need repair within 1 year is 0.001. Assuming that the events are independent, find the following probabilities. (Round your answers to four decimal places.) (a) At least one of these components will need repair within 1 year (b) Exactly one of these component will need repair within 1 year

Q: Suppose that events E and F are​ independent, ​P(E)=0.4​, and ​P(F)=0.6. What is the P(E and F)​?…

A: Given that, Events E and F are independent, and P(E) = 0.4 P(F) = 0.6

Q: You have relatives coming for dinner this weekend.  The probability that your uncle Josiah will show…

A: given data  event A: uncle josiah show up B : aunt beatrice show up   P(A) = 0.48 P(B) = 0.43 P(A∩B)…

Q: During a resort’s busy season, there is a 0.6 probability that a hurricane will affect sales…

A: Given , Number of months (n) = 3 Probability of a hurricane affecting sales negatively (p) = 0.6 Let…

Q: For a certain airline, there is a 75% probability that a given flight will depart on-time, an 80%…

A: Provided information is ; A: given flight will depart on-time. P(A) : Probability that a given…

Q: Rob Lee knows that he can compete successfully in a single track mountain bike race unless he gets a…

A: Let F -  getting a flat B - chain breaking P(F) = 0.3 P(B) = 0.05 P(F and B) = 0.01

Q: Winston, a dog, loves to play fetch.  He catches each ball mid-air independently with probability…

A: It is given that n=4 and p=0.5.

Q: Determine whether the events E and F are independent or dependent. Justify your answer. ..... E: A…

A: The variables are basically two types, they are independent and dependent variable. Independent…

Q: If the probability that an event does no occur is 0.3 determine the probability that the event…

A:

Q: During a resort’s busy season, there is a 0.8 probability that a hurricane will affect sales…

A: Given: Number of months (n) = 3 Probability of a hurricane affecting sales negatively (p) = 0.8 X be…

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: at irsc the probability that a student is a male is 0.52, that a student is a business major is…

A: Let A denote the student is a male, and B denote the student is a business major. At IRSC the…

Q: If P(A) = 0.72, P(B) = 0.62, and P(A and B) = 0.54, find the probability that neither A nor B will…

A:

Q: At a college, 65% of courses have final exams and 45% of courses require research papers. Suppose…

A:

Q: In a city, 60% of the residents live in houses and 40% of the residents live in apartments. Of the…

A: Let A denote the event residents live in houses Let B denote the event that residents live in…

Q: A basketball player is known to make 85% of their free throw shots. If she is allowed to take 20…

A: A basketball player is known to make 85% of their free throw shots; p=0.85 There are 20 shots; n=20

Q: Call a household prosperous if its income exceeds $100,000. Call the household educated if the…

A: Given: A=Household is prosperous B=Household is educated P(A) = 0.140, P(B) = 0.263 and P(A and B) =…

Q: Christmas Tree lights are used not only for Christmas trees but sometimes to decorate college dorm…

A: Given: p = 0.02 n = 20 This is the binomial distribution.

Q: Assume that 65 percent of the students at the university have taken 4 years of high school math. Of…

A:

Q: A tennis player makes a successful first serve 30% of the time. If she serves 33 times, what is the…

A: Solution: Let X be the number of first serves and n be the number of times she serves. From the…

Q: Suppose the events A, B, and C are mutually independent, and P(A) = 0.28, P(B) = 0.37, and P(C) =…

A: When the events A, B and C are multually independent then the probability that none of the events…

Q: Consider three classes (I, II and III) consisting of 30, 25, and 45 students. Suppose a student is…

A: Given information: There are 3 classes: I, II and III consists of 30, 25 and 45 students…

Q: Based on a survey, assume that 28% of consumers are comfortable having drones deliver their…

A: GivenThe percentage of consumers, who are comfortable having drones deliver their purchases = 28%The…

Q: Assuming that these two are Independent, what is the probability of thunderstorms on both Memorial…

A: Concept: If the probability of occurrence of one event is not affected by the probability of…

Q: A faculty member meets two students in Paris, one of whom arrives by train from Amsterdam and the…

A: There are two students, one of whom arrives by train from Amsterdam and the other student arrives by…

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.