If A and B are two independent events with P(A) = 0.15 and P(B) = 0.4, then P(AUB) is

Q: Suppose j and k are two independent events with P(j) =0.35 and p(k) = 0.19 what is the p(j and k^c)?…

A: Given  P(j)=0.35, P(k)=0.19   P(j and k^c)=?  Where j and k are independent

Q: f 9 out of 1496 people have a certain genetic defect, what is the probability of selecting three…

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Q: In a large city, 60% of the residents are females and 40% are males. If two persons are selected…

A: Given Information: Percentage of females = 60% or 0.6  Percentage of males = 40% or 0.4

Q: In a village, the probability that a randomly selected subject is allergic to sulphur is 0.20,…

A: Let A denote the event that allergic to sulphur Let B denote the event that allergic to penicillin…

Q: Find the probabilities of getting Three 3s and then a 4 or a 5 in 4 rolls of a balanced die

A: a) since probability of a head on a fair coin is 1/2 therefore due to independence of trials P(eight…

Q: An automobile manufacturer produces 36% of its cars at plant A. If 4% of the cars manfactured at the…

A: Solution-: Given: Produce car in plant A=36% i.e. P(A)=0.36 Defective device by plant A=4%=0.04 We…

Q: Suppose the probability that you will be elected president of AUSG is 0.15, and the probability that…

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Q: Aggregates for the construction of a reinforced concrete building are supplied by two companies (A,…

A: Given that orders for company A to deliver 600 truckloads a day and 400 truckloads a day for company…

Q: In a large population 59% of the people hace been vaccinated.  If 5 people are randomly selected…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: In a large population, 51% of the people have been vaccinated. If 5 people are randomly selected,…

A: Probability of selecting a person who has been vaccinated is 51% or 0.51 Number of observation = 5…

Q: In a tropical area where there are short storms more or less uniformly distributed throughout the…

A: A continuous random variable X is said to follow Uniform distribution with parameters a and b, if…

Q: In a large hospital, suppose that 35% of patients suffer from disease A, 40% of patients suffer from…

A: Disclaimer: Since you have posted a question with multiple subparts, we will solve first 3 subparts…

Q: On any given work day, Lillian notices that as she's driving to school, she is first stopped by a…

A: Given that, Probability that Lillian is stopped by a red light PR = 0.8  Probability that she is…

Q: A probability experiment consists of two stages, in which a 6-sided die is rolled in the first stage…

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: 4) According to a recent study, 1 in every 8 women has been a victim of domestic abuse at some point…

A: Given, no of women= 25 1 in every 8 women is abused, therefore p=1/8 = 0.125 Let X be the random…

Q: What is the probability that he must stop a. At both lights. b. At the first light but not at the…

A: Given : P (He must stop at the first light) = 0.35 P ( Stopping at the second light) = 0.65 P (…

Q: If one student is randomly chosen from the group, what is the probability that the student chose…

A: Given problem Given that     Homework Housework Outside Employment Recreation Other Total…

Q: Thirty percent of the students in Unix College is in favour of a ban on drinking in the dormitories.…

A: Let us assume that X= number of students who favor ban  X follows a binomial distribution with…

Q: At a tune-up and brake repair shop, the manager has found that a car will require a tune-up with…

A: A= Tune up B= Repair job

Q: Suppose that an employee at a local company checks his watch and realizes that he has 10 minutes to…

A: Multiplication rule for independent events:If two events A and B are independent then the…

Q: If two or more events have the property that at least one of them must occur when the experiment is…

A: Exhaustive events:Two or more events are said to be exhaustive if there is a certain chance of…

Q: In a large introductory statistics lecture​ hall, the professor reports that 5656​% of the…

A: Introduction:Denote p1, p2 and p3 denote the probabilities that a student has never taken a calculus…

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: Danny selects a glass bottle from the shelf randomly without looking and then tosses the fair coin.…

A: The selection of glass bottles and tossing coins are two independent events.  So, we have to find…

Q: An after-school club sonsists of 10 juniors and 12 seniors. If 2 students are chosen at random to…

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Q: f there are 19 people in a room, and 1 of them are wearing blue shirts, what is the probability that…

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Q: Suppose that the proportions of blood phenotypes in a particular population are as follows: A= 0.45…

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Q: If the chance of rain on Sunday increases to 50% if it rains on Saturd. suppose you were away on…

A: *Answer: Solution: P(Sunday)=P(Saturday)+50%---------------------------1 Let Probability that it…

Q: 5. With regards to a particular gene, the percentage of genotypes AA, Aa, and aa in a particular…

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Q: In a tennis match, with the score at deuce, the game is won by the first player who gets a clear…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: a) If an ELT is randomly selected from the general population of all ELTs, find the probability that…

A: Given: Altigauge manufacturing company (A) produces 80% of the ELTs,  Bryant company (B) produces…

Q: A certain group of women has a 0.63% rate of red/green color blindness. If a woman is randomly…

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Q: a class, there are 20% girls and 80% boys. Students are either In OBL or CBL Suppose 10% of the…

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Q: About 5% of the population of a large country is allergic to pollen. If two people are randomly…

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Q: compute the probability of event E if the ads in favor of E are 5 to 29

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Q: A city has two daily newspapers, A and B. A survey of 100 residents of the city shows that 35 people…

A: Given, A survey of 100 residents of the city shows that 35 people subscribe to A, 60 subscribe to B…

Q: Suppose that goats have one gene that codes for color, where A is brown and a is white. The goats…

A: Given Suppose that goats have one gene that codes for color, where A is brown and a is white. The…

Q: Q9. A manufacturer of seats for automobiles gets its textiles from three different suppliers, Acme…

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Q: In an experiment involving smoke detectors, an alarm was set off at a college dormitory at 3 a.m.…

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Q: Example 2.24 In a city, suppose that only 60% of the people read a newspaper. What is the…

A: Let X be the number of reading the news paper  p be the probability of the people reading a news…

Q: Find the conditional probability of the given event when two fair dice (one red and one green) are…

A: It is given that the two fair dice ( one red and one green ) rolled. First number shows the red one…

Q: Example 3: A hospital switch board receives an aveage of 4 emergency calls in a 10 minute interval.…

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Q: In the experiment of rolling a pair of dice, the events A, B and C are defined as A: getting 2 on…

A: Given that In the experiment of rolling a pair of dice, the events A, B and C are defined as A:…

Q: In a lake, Peter catches fishes in an average rate of 3 fishes per hour. (Assume Peter always…

A: Introduction: Let X denote the number of fishes caught by Peter in a randomly selected hour. Thus, X…

Q: To the right are the outcomes that are possible when a couple has three children. Assume that boys…

A: Here the outcomes that are possible when a couple has three children given.  It is asked to find…

Q: Q4. A shipment of two boxes, each containing eight telephones, is received by a store. Box 1…

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Q: An experiment consists of flipping a weighted coin with Pr[H]=0.8Pr[H]=0.8. The experiment ends when…

A: It is given that the probability of getting a head is 0.8. The coin is flipped at most two times.…