22 Given P(4) =0.5, P(B) = 0.6 and P(AU B) = 0.8. Calculate the probability that both events A and B occur. Hence, verify that A and B are independent events.

Q: The probability of event A, given that event B has occurred, can be found using Bayes’s Theorem. Use…

A: Given that, P(A) = 0.35 , P(A') = 0.65, P(B | A) = 0.1 andP(B | A') = 0.7

Q: The Denver Post reported that, on average, a large shopping center had an incident of shoplifting…

A: Given,on average, a large shopping center had an incident of shoplifting caught by security 1.4…

Q: Assume that the probability of recovering from a brain surgery is 0.8. Considering the next 100…

A: NORMAL APPROXIMATION to BINOMIAL DISTRIBUTIONthe PDF of normal distribution is = 1/σ * √2π * e ^…

Q: T Given that at least one of the red and blue dice turned up "WIN", what is the probability that the…

A: from given data we have; probability of red in the selector die= 3/6=1/2 probability of blue in the…

Q: Q7 (a) 15% of customers at the snack counter of a movie theater buy soft drinks. 40% also purchase…

A: Given, P (A) = P (drink) = 0.15 = P (Popcorn | drinks) = 0.40 P (B) = P (Popcorn) = 0.55

Q: nas a 40% chance to make the deal at the second appointment, from which, if successful, he can make…

A:

Q: 9. Final: Suppose that 70% of adults owned their own homes. A random sample of seven adults was…

A: Given,n=7p=0.7q=1-p=0.3x=no.of adults owned their own homesx~Binomial(n=7 , p=0.7)P(X=x)=cxn px qn-x…

Q: During the economic downturn caused by the ongoing pandemic, a last semester student goes to career…

A:

Q: 9. According to the latest Gallup Poll, 65% of American Teenagers purchase iPhones. Assuming this…

A:

Q: The probability that Mr. Adam comes across a red light is 0.45 at any intersection. What is the…

A:

Q: A1. b. In a town with 10,000 populations, they got a call to test a certain disease that has an…

A: Given : Total Population = 10,000 Incidence rate = 4% Therefore, Probability that the person has…

Q: It has been found that 1 out of every 10 people who visit a local store purchase cigarettes. If we…

A: From the provided information, 1 out of every 10 people who visit a local store purchase cigarettes…

Q: It has been found from experience that an exclusive clothes shop makes an average of four sales…

A:

Q: The probability 99% of ChatBot message send to customer are correct. If a sample of 100 massages is…

A:

Q: It is estimated that 70% of the students attending a school in a rural area, take the bus to school.…

A: Here given, It is estimated that 70% of the students attending a school in a rural area, take the…

Q: The probability of owning a cat is P(C) = 0.24, while the probability of owning a dog is P(D) =…

A: Given information P(C) = 0.24 P (D) = 0.52

Q: Q7 (a) 38% of customers at the snack counter of a movie theater buy soft drinks. 17% also purchase…

A: Given: Proportion of customers who buy soft drink = 38100=0.38 Proportion of customers who buy…

Q: In a state where cars have to be tested for emission of pollutants, 25% of all cars emit excessive…

A:

Q: A family decides to have children until it has three male children. Assuming P(male) = P(female) =…

A: A family decides to have children until it has three male children. Assuming P(male) = P(female) =…

Q: The probabilities that a market inspector will discover violations of the public health code in a…

A: P(2≤X<4)=?

Q: Q3.a The probability of winning a certain $8 million lottery is 0.000004. If Kim partakes in this…

A:

Q: 17) Find the probability that when a gardener plants 20 seeds, she harvests 16 radishes given the…

A: n = 20 r = 16 p=0.7 q = 1-0.7 = 0.3 Distribution = Binomial

Q: - The table below shows the results of an experiment in which the spinner above was spun 50 times.…

A: The number of times to spin blue color is 18.

Q: It has been found that on average, nine shoppers enter a Shoprite supermarket in any given 15-minute…

A: The probability mass function of the Poisson distribution is given as follows:

Q: A representative from the National Football League's Marketing Division randomly selects people on a…

A:

Q: d. What is the probability that a customer who frequently visits the store often buys generic…

A: According to the answering guidelines, we can answer only three subparts of a question and the rest…

Q: On the road again According to Exercise 12, the prob-ability that a U.S. resident has traveled to…

A: a) The required probability is calculated as follows:

Q: Exercise 42 Barbara sends about 12 emails on an average 8-hour work day from 9am to 5pm. (1) What is…

A: Poisson distribution is a type of discrete probability distribution with a single parameter λ. It is…

Q: 2 - The average number of storms that occur in the Mediterranean region between 20-30 March is equal…

A: Average number of success  = λ = 3 x = 2

Q: Given P(HIV aftera strike)=D0.003, what is the probability (to 4 d.p.) that the healthcare worker is…

A: Given: Probability of HIV after one strike is 0.003 To find the probability that the healthcare…

Q: Harry Ohme is in charge of the electronics section of a large department store. He has noticed that…

A: The formula of binomial probability is defined as :   Given: n=15 p=0.3 x=0

Q: 2. The probabilities of a machine manufacturing 0, 1, 2, 3, 4, and 5 defective parts in one day are…

A: Given that  Probability mass function of X is  x 0 1 2 3 4 5 P(X=x) 0.75 0.17 0.04 0.025 0.010…

Q: Q7 (a) 1% of customers at the snack counter of a movie theater buy soft drinks. 54% also purchase…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: i) mat is the probability that a car purchased is defective ii) Ir a car purchased is found to be…

A:

Q: Employment data at a large company reveal that 55 % of the workers are married, that 41 % are…

A: these are the correct answers provided by us

Q: In the current first-year class of a community college, all the students come from three local high…

A: Let us denote:School I=ASchool II=BSchool III=CF=FailP=PassGiven that P(A)=45%=0.45, P(B)=30%=0.30,…

Q: Suppose there is a 14.1% probability that a randomly selected person aged 30 years or older is a…

A:

Q: Suppose the probability of snow tomorrow is 0.4 while the probability of IU winning the basketball…

A:

Q: Q7 (a) 2% of customers at the snack counter of a movie theater buy soft drinks. Among those who buy…

A: Hi since, you have posted multiple question at one time. As per the guidelines i am obliged to…

Q: 2. Given the assumption is true, find the probability that the randomly selected motorcycle will be…

A: Let X be the random variable from normal distribution with mean (μ) = 10 years standard deviation…

Q: During the economic downturn caused by the ongoing pandemic, a last semester student goes to career…

A: Hey there! Thank you for posting the question.  Since you have posted a question with multiple…

Q: Suppose that the probability function in the table below reflects the possible lifetimes (in months…

A: As per our guidelines we can solve first three sub part of question and rest can be reposted.…

Q: There are five flights daily from Pittsburgh via US Airways into the Bradford Regional Airport in…

A: Given number of lights = n = 5 Probability that any flight arrives late = 0.2 Let X denotes the…

Q: The probabilities that a market inspector will discover violations of the public health code in a…

A:

Q: One year, airline A had 6.04 mishandled bags per 1,000 passengers. Complete parts a. through c.…

A: Probability (mishandled bags) = 6.04/1000 = 0.00604

Q: Based on a​ survey, assume that 37​% of consumers are comfortable having drones deliver their…

A: Given Information: 37​% of consumers are comfortable having drones deliver their purchases.

Q: are allergic to pollen? What is the probability at least one is allergic to pollen? O 0.3000, 01500…

A: 15% of population of a large country is allergic to pollen; p=0.15 The two people are randomly…

Q: Q.4: Suppose we know that a receptionist receives an average of 12 phone calls per hour. a) What is…

A:

Q: Assume thlat the montnly wondwIde average number of plaine crashes of Commercial ainines IS Z.2.…

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.