There are two traffic lights on Darlene's route from home to work. Let E denote the event that Darlene must stop at the first light, and define the event F in a similar manner for the second light. Suppose that P(E) = 0.3, P(F) = 0.3, and P(En F) = 0.12. (a) What is the probability that Darlene must stop at at least one light; that is, what is the probability of the event P(E U F)? (b) What is the probability that Darlene doesn't have to stop at either light? (c) What is the probability that Darlene must stop at exactly one of the two lights?

Q: The probability that the oldest is a boy and the youngest is a girl, given that there is at least…

A: Here  Family has 3 children with at least one boy and one girl.

Q: Given the probability that "she's up all night 'til the sun" is 0.29, the probability that "she's up…

A: According to the provided information, P (she's up all night 'til the sun) =0.29 P (she's up all…

Q: Given the probability that "she's up all night 'til the sun" OR "she's up all night for good fun" is…

A: Answer:- Let, Event X = "she's up all night 'til the sun" Event Y = "she's up all night for good…

Q: Mary and Susan are each to play a tennis match. Let the probability that Mary wins her match be 0.65…

A:

Q: Let E be the event that a new car requires engine work under warranty and let T be the event that…

A: Probability of car requires engine work under warranty =P(E)=0.05 Probability of car requires…

Q: Suppose that Joe arrives home on time with probability 0.8. If Joe does not arrive home on time, the…

A: Given that P(on time)=0.8 So, P(not on time)=1-P(on time)=1-0.8=0.2   P(burnt dinner)=P(on time and…

Q: A letter posted second-class on a Monday has the following probabilities of arriving on Tuesday to…

A: Let's approach this step by step:1) For the first-class letter, the probabilities are as follows:…

Q: A new car salesperson knows that he sells cars to one in every twenty customers who enter the…

A: Given The probability of selling a car is 1/20=0.05

Q: Let V be the event that a computer contains a virus, and let W be the event that a computer contains…

A: Given Data: P(V)=0.12 P(W)=0.63 P( V and W)=0.04

Q: Given the probability that "she's up all night 'til the sun" OR "she's up all night for good fun" is…

A: Let A be she's up all night 'til the sun  B be she's up all night for good fun  P(B)=0.31, P(A or…

Q: Assume the following informaon. The height of adult women in the city of Boston can be characterized…

A: 1. Let X denote the height of a randomly selected woman from City B. It is given than X has a normal…

Q: The probability that an international flight leaving the United States is delayed in departing…

A: The problem provides us with the following probabilities:Probability of a flight being delayed…

Q: Given the probability that "she's up all night 'til the sun" OR "she's up all night for good fun" is…

A: Given, P("she's up all night 'til the sun" OR "she's up all night for good fun") = 0.45 P(she's up…

Q: Two workers A and B are both working for a certain store. Worker A comes to work 80% of the time…

A: The provided information is  P(A)=0.60 P(B)=0.80 If A and B are independent  Then,…

Q: An insurance company writes a policy to the effect that an amount of money A must be paid if some…

A: An insurance company writes a policy to the effect that an amount of money A must be paid if some…

Q: Given the probability that "she's up all night 'til the sun" OR "she's up all night for good fun" is…

A: Let us denote A=she's up all night 'til the sun B=she's up all night for good fun   Given that P(A…

Q: Let E and F be two events in Swith P(E) = 0.3, P(F) = 0.5, and P(EN F) = 0.2. Find P(EN F). (Hint:…

A:

Q: We know that on a random day during the summer the probability that an adult in California goes to…

A: Introduction :-  Here we have to find various probabilities for given scenerio. Given :-…

Q: Given the probability that "she's up all night 'til the sun" OR "she's up all night for good fun" is…

A:

Q: Let E be the event that a new car requires engine work under warranty and let T be the event that…

A: Given : Let E be the event that a new car requires engine work under warranty and let T be the event…

Q: A General Social Survey asked participants if they thought it was "OK" for a woman to get an…

A: From the given information,   Yes, OK Not OK (Opposed) Total Strong Democrat 145…

Q: Given the probability that "she's up all night 'til the sun" OR "she's up all night for good fun" is…

A: P( "she's up all night 'til the sun" OR "she's up all night for good fun") = 0.43 P("she's up all…

Q: A company prices its tornado insurance using the following assumptions: any calendar • In any…

A:

Q: Given the probability that "she's up all night 'til the sun" OR "she's up all night for good fun" is…

A: PA∪B = PA + PB - PA∩BWhere,PA∪B = probability of event A or event BPA∩B = probability of event A and…

Q: Let A and B be events with probabilities P(A) = 2/3 and P(B) = 5/6. What is the probability that…

A: It is given that  P( A ) = 2/3 P( B ) = 5/6

Q: (a) What is the probability that a student is a male, given that the student is a junior? (b) What…

A: a) The number of students are male and juniors is 2700.

Q: Given the probability that "she's up all night til the sun" is 0.30, the probability that "she's up…

A: Let S denote the "she's up all night til the sun" and F denote "she's up all night for good fun".…

Q: Let A and B be any two events defined on S. suppose that p(A)=0.2, p(B)=0.7, and p(A and B)=0.3, the…

A: It is given that, p(A) =0.2 p(B) =0.7 and p(A and B) =0.3

Q: 5.Prove the following properties of probability: P(A) = 1-P(A). b. For any events A and B, P(A U B)…

A: Solution-:We want to prove the following properties of probability:(a) (b)

Q: At a certain company, the mentoring program and the community outreach program meet at the same…

A: Given Mentoring=0.43 Outreach=0.32

Q: Given the probability that "she's up all night 'til the sun" OR "she's up all night for good fun" is…

A: Given data: The probability that she's up all night until the sun OR she's up all night for good fun…

Q: Is Lucas's first free throw shot independent of his second free throw shot? O The two free throws…

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.