A large retailer purchases a certain kind of product from a manufacturer. The manufacturer indicates that the defective rate of the product is 3% in a shipment. The inspector of the retailer randomly picks 20 items of the product from a shipment. What is the probability that there will a. be (3) defective items? b. not be more than two (2) defective items?

Q: In a large casino, the house wins on one of its games with a probability of 51%. 1:1, meaning that…

A: NOTE-AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION ONLY.

Q: Once a woman won​ $1 million in a​ scratch-off game from a lottery. Some years​ later, she won​ $1…

A: a. P(winning in 1st game )×Pwinning in 2nd  game=14200000×1705600=3.374365619×10-13

Q: if a relay is selected at random from the output of the company, what is the probability that it is…

A: Let us define some events A : a relay is from plant 1. B : a relay is from plant 2. C : a relay is…

Q: An archer hits a bull’s-eye with a probability of 0.09, and the results of different attempts can be…

A:

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: certain inspection site, it is known that, on the average, 1 in every 50 persons exceeded 37 C…

A:

Q: The manager of the Fore and Aft Marina in the previous problem wants to investigate the possibility…

A: (1). Compute the probability that the boat dock will be idle: The arrivals follow a Poisson…

Q: the company figures that the probability of the house being burned down by fire is 0.005, what will…

A: Given that an insurance company insures a house worth P4,500,000 for an annual premium of P25,000.

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

A:

Q: 10% of the engines manufactured on an assembly line are defective. What is the probability that the…

A: Given that 10% of the engines are defective And 90% of the engines are non-defectives   Then p=0.9…

Q: To avid detection at customs, a traveler places 6 narcotic tablets in bottle containing 9 vitamin…

A:

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: c) A local jam production company is confident that 60% of the population will like its new…

A:

Q: Wells were dug in a plain, and it was found that 15% of the water from the dug wells was not…

A: Solution: Given: Number of new wells: n = 10 It was found that 15% of the water from the dug wells…

Q: At large factory of pipe, approximately 30% of all pipework failures in are caused by operator…

A: Solution: Let X be the number of pipework failures are caused by operator error and n be the sample…

Q: The television show Pretty Betty has been successful for many years. That show recently had a share…

A: Solution: a. Let X be the number of households are tuned to pretty Betty and n be the sample number…

Q: Two unfair coins, both favoring heads, are tossed simultaneously for many trials, with the results…

A: It is given that Number of times two head occurs = 63 Number of times one head and one tail occurs =…

Q: c) Suppose that, on average, telephone calls arrive at large switchboard at the rate of two per…

A:

Q: A survey of new Toyota Corolla owners has shown that during the first year of ownership, 11% of…

A: x = no. of time needs repair in a year x p(X) 0 0.75 1 0.11 2 0.10 >=3 0.04

Q: An insurance company finds that .5% of the population die from a certain kind of accident each year.…

A: Note: Thank you for the question. It is taken that 0.005% of the population die from a certain kind…

Q: In a city, 28% of new cars were stolen within one year of purchase. Suppose two new cars were…

A:

Q: A hospital finds that 25% of its accounts are at least 1 month in arrears. A random sample of 450…

A: Let us denote: X=the number of accounts that were at least 1 month in arrearsGiven that n=sample…

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

A: The probability that a car will require a tune-up is P(Tune)=0.6 The probability that a car will…

Q: A contractor is considering a sale that promises a profit of $31,000 with a probability of 0.7 or a…

A: Profit is $31,000 with probability of 0.7. Loss is $13,000 with probability of 0.3.

Q: 4- Customers arrive at Speedy Oil Change at the rate of 9 per hour. What is the probability that…

A: Given, Customers arrive at speedy oil change at the rate of 9 per hour. Poisson distribution:…

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: In a large casino, the house wins on one of its games with a probability of 51%. All bets in the…

A:

Q: The manager of the Fore and Aft Marina in the previous problem wants to investigate the possibility…

A: Given :  The manager of the Fore and Aft Marina in the previous problem wants to investigate the…

Q: A manufacturer of metal pistons finds that on the average, 12% of his pistons are rejected because…

A: This is the case of binomial, as there are two possible outcomes with a fixed number of trials.…

Q: What is the probability that a randomly chosen unit of insulin came from the plant in Jefferson City…

A: Let us define some events A : unit of insulin comes from the plant in Kansas City B : unit of…

Q: An electronics firm claims that the proportion of defective units of a certain process is 5%. A…

A: (a)   Obtain the probability of this occurrence, given that the claim of 5% defective is correct.…

Q: The television show Pretty Betty has been successful for many years. That show recently had a share…

A: From the provided information, 30% were tuned to Pretty Betty that is probability of success (p) =…

Q: If a person is selected at random from this group, what is the probability that he/she d) Is…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

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

A:

Q: The shipping costs for a company are as follows: small objects cost $0.50, medium objects cost…

A: the answer is:-

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

A:

Q: An insurance company sells a policy for $5000.  There is a 3 in 20 probability that the insurance…

A: Given that: There is a 3 in 20 probability that the insurance company will have to pay $10,000…

Q: (b) what is the probability that it does not get both?

A: let A be the event all households get ineternet and B be the event that get the cable Given…

Q: An airline offers discounted "advance purchase " fares to customers who buy tickets more than 30…

A:

Q: A contractor is considering a sale that promises a profit of $26,000 with a probability of 0.7 or a…

A:

Q: A key shop advertises that the keys made there have a P = 0.85 of working effectively. If you bought…

A: Let "X" be the keys that would work effectively.

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: A biomedical research company produces 40% of its insulin at a plant in Kansas City, and the…

A: It is given that, a biomedical research company produces 40% of its insulin at a plant in City K,…

Q: 2) In a Canadian population, 30% of people spend 4 hours or more per day on smartphone; 25% of…

A:

Q: Beck is allergic to peanuts. At a large dinner party one evening, he notices that the cheesecake…

A: Given Data: n(Peanuts)=12 n(Chocolate)=10 Total=10+12+12+8=42

Q: The Web site for a stationery retailer receives 1,000 hits on a particular day. From past experience…

A: we have to find the probability of large scale , small sale and sale under the given conditions.

Q: An airline offers discounted "advance purchase " fares to customers who buy tickets more than 30…

A:

Q: The manager of Toy World has decided to accept a shipment of electronic games if none of a random…

A:

Q: The quality-control department of Starr Communications, the manufacturer of video-game cartridges,…

A: Let,A be the cartridges sold have video defectsB be the cartridges sold have audio defectsFrom the…

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.