Bill Borde, top advertising executive for Grapevine Concepts, has just launched a publicity campaign for a new restaurant in town, The Black Angus. Bill has just installed four billboards on a highway outside of town, and he knows from experience the probabilities that each will be noticed by a randomly chosen motorist. The probability of the first billboard’s being noticed by a motorist is 0.75. The probability of the second’s being noticed is 0.82, the third has a probability of 0.87 of being noticed, and the probability of the fourth sign’s being noticed is 0.9. Assuming that the event that a motorist notices any particular billboard is independent of whether or not he notices the others, what is the probability that (a) All four billboards will be noticed by a randomly chosen motorist? (b) The first and fourth, but not the second and third billboards will be noticed? (c) None of the billboards will be noticed? (d) The third and fourth billboards won’t be noticed?

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A: Given: Family owns a milking cow, P(A)=0.32. Family owns a poultry, P(B)=0.41. Family owns both,…

Q: A psychologist has found that 55% of people who come to his clinic for counseling are women. 75% of…

A: The given probability  is shown in the tree diagram Let A represents Women and A complement…

Q: Chris will work on a consulting project for 5 days. During these five days, the probability that…

A: Ans .   Here it is given that the probability that Chris applies for sick leave on any particular…

Q: If the probability of having a female tortoise is 0.35, what is the probability of having four…

A: Given that,  The probability of having a female tortoise is, p = 0.35 The no.of eggs in a nest is, n…

Q: The probability of John going to the movies today is 0.7. The probability of Sam going to the movies…

A: Answer:- The probability of John going to the movies today is P(J) =  0.7               The…

Q: A zoo has a collection of 400 flamingos. 180 of these flamingos are red. One day, a fence blew down…

A: Given : A zoo has a collection of 400 flamingos. 180 of these flamingos are red.

Q: A film producer is evaluating a script by a new screenwriter. The producer knows that the…

A: Expected value stratey refers to that strategy in which the agent takes decision  based on the…

Q: A class in Engineering Data Analysis consists of 6 women and 4 men. Their grades are calculated, and…

A:

Q: he probabilities that Anita and Evita will not do their homework are 0.3 and 0.2, respectively. The…

A: Given Information: P(Anita will not do her homework) = 0.3 P(Evita will not do her homework) = 0.2…

Q: According to a survey of American households, the probability that the residents own 2 cars if…

A: According to the provided data,

Q: John finds a bill on his desk. He has three options: ignore it and leave it on his own desk, move…

A: Given that

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A: We have to find the subjective probability.

Q: On new years eve, the probability of a person driving while intoxicated is 32% the probability of a…

A: The probability of a person driving while intoxicated P(A)=0.32 The probability of a person having a…

Q: an architectural firm is putting out birds to design two large government buildings. suppose they…

A: The probability of getting the contract for the first building is 0.35.

Q: You're gambling at a casino. Suppose the probability that you win roulette is 0.461 and the…

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Q: The probability that your classmate likes ice cream is 70%. And the probabability that they like…

A: Given that, the probability that your classmate likes ice cream is 70% and the probabability that…

Q: A couple is planning to have 6 children. If the true probability of a baby girl being born is 0.521,…

A:

Q: There is a 72% chance you will be able to get tickets to a concert to see your favorite band in the…

A: Given problem Given that   There is a 72% chance you will be able to get tickets to a concert to…

Q: At a local​ college, four sections of economics are taught during the day and two sections are…

A:

Q: Your favorite board game used a spinner with three equally possible outcomes: red, yellow, or blue.…

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Q: Suppose you manage the demand for a towing company in Little Rock. On a usual day your company gets…

A:

Q: anges cost $5 and sells for $15. If there are any cases of mandarin oranges not y are sold to a…

A: Answer:

Q: The probability that Alice arrives on time is 80%. The probability that Bob arrives on time is 40%.…

A: Given data The probability that Alice arrives on time is 80% The probability that Bob arrives on…

Q: Donald is watching an old game show rerun on television called Let’s Make a Deal in which the…

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Q: You want to purchase a DVD drive for your laptop computer. Assume that 55 ​% of the drives are made…

A:

Q: An assembly line has two inspectors. The probability that the first inspector will miss a defective…

A: If the defective item passes both inspectors then that means that it was missed by the first…

Q: The probability that your classmate likes ice cream is 80%. And the probabability that they like…

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Q: if you have a problem where a percentage of male customers and and female customers purchase goods…

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Q: I hit two traffic lights on my way to work each morning. Both lights operate independently. The…

A: Let,  Ri : i th traffic light is red , i=1, 2Rci : i th traffic light is not red , i=1, 2   P(R1∩R2)…

Q: The probability that your classmate likes ice cream is 80%. And the probabability that they like…

A:

Q: he bombardier Q400 has seating capacity for 76 passengers. A study finds that 93.6% of passengers…

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Q: What is the probability that Larry Bird makes exactly one of his two free throws?

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Q: When Mitchell drives back home from campus, he has to pass through two sets of traffic lights. The…

A:

Q: There is an option of paying $100 to have research conducted to better predict which state of nature…

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Q: Every summer, Madison goes on a week- long canoe trip with her childhood camp friends. After the…

A:

Q: If the probability of an event is 72%, what is the probability of its complement?

A: The probability of an event is =72%=0.72

Q: You have just talked to a randomly selected person who was wearing a red shirt, but forgot to ask…

A:

Q: wo chefs (Mike and Larry) cook at a diner. Mike cooks twice as many dishes as Larry. ZAGAT has…

A:

Q: A candy company claims that 31% of candies are orange. We randomly sample 100 candies. We wish to…

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Q: What is the probability that a customer uses gel packs for laundry, given that they use gel packs?…

A: It is given that, A survey is carried on 1000 customer . Probability that customers use gel packs…

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.