A manufacturing company uses an acceptance scheme on items from a production line before they are shipped. The plan is a two-stage one. Boxes of 26 items are readied for shipment, and a sample of 4 items is tested for defectives. If any defectives are found, the entire box is sent back for 100% screening. If no defectives are found, the box is shipped. (a) What is the probability that a box containing 2 defectives will be shipped? (b) What is the probability that a box containing only 1 defective will be sent back for screening?

Q: Morgan buys a bag of cookies that contains 4 chocolate chip cookies, 6 peanut butter cookies, 8…

A: The probability formula is, Probability=Favourable outcomesTotal outcomes A bag contains totally 27…

Q: In a survey of health insurers,  400 baby boomers and 600 pre-boomers were asked: do you believe…

A: Obtain the probability that he or she is a baby boomer, if a respondent chosen at random from those…

Q: A tire company produced a batch of 6,700 tires that includes exactly 230 that are defective.   a. If…

A: a) According to the provided information, A tire company produced a batch of 6,700 tires that…

Q: In an NBA championship series, the team that wins four games out of seven wins. Assume that team A…

A: Given that, In an NBA championship series, the team that wins four games out of seven wins. Assume…

Q: Out of 10 cars in a car sales service, the air conditioner is defective. For a company that buys 4…

A: Given that Total number of cars = 10  Number of Defective car = 1

Q: Seventy percent of rivets from vendor A meet a certain strength specification, and 80% of rivets…

A: Let T denotes with the addition of two random variables(X+Y)

Q: Zaire buys a bag of cookies that contains 7 chocolate chip cookies, 5 peanut butter cookies, 9 sugar…

A: It is given that the Zaire buys a bag of cookies that contains 7 chocolate chip cookies, 5 peanut…

Q: A supplier has 200 compact discs,of which 10% are known to be defective. If a music store purchases…

A: 10% of 200 discs are defective.  So, 10% of 200=0.10x200=20 20 discs are defective and (200-20)=180…

Q: Given that a person bought a hybrid vehicle, what is the probability that it was a truck?

A: Let us define some events A : a person buys a hybrid vehicle. B : a person buys a truck. Given that…

Q: A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan…

A: Binomial distribution: A discrete r.v. X taking values 0,1,2,3, …., n is said to follow a binomial…

Q: A local school district studying the possibility of requiring that all children be vaccinated…

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: A nylon connector manufacturing plant yields 16 % defective items. If 1000 connectors are randomly…

A:

Q: Ten percent of the engines manufactured on an assembly line are defective. If engines are randomly…

A: Given: Let q be the percent of the defective engines manufactured on an assembly line. That is 10%…

Q: At a smoothie stand, you can order a fruit smoothie in three different sizes: small, medium, or…

A: Given that there are 3 different sizes: small, medium, or large. Types of fruits: 3 types:…

Q: 3. YO-Magic! Bakery receives on average 13 take-out orders of their best-selling cheesecake in one…

A: Given that, YO-Magic! Bakery receives on average 13 take-out orders of their best-selling cheesecake…

Q: As part of a promotional campaign, a store is offering a free Fitbit with the purchase of the new…

A: Let A denote the event that iPhone are faulty  Let B denote the event that Fitbits are faulty The…

Q: In the construction of midrise buildings, a safety engineer claims that only 40% of all workers wear…

A: Solve using Binomial distribution

Q: In a county where factories have to be tested for the emission of pollutants, 32% of all factories…

A:

Q: In the experiment of flipping a coin four times, what is the probability of obtaining odd number of…

A: Let A and B be two events with P(A) > 0. Then the conditional probability of B given A, denoted…

Q: In a mountain area where mines have to be tested for the emission of pollutants, 32% of all mines…

A: See the handwritten solution

Q: In an NBA championship series, the team that wins four games out of seven wins. Assume that team A…

A:

Q: A grocery store manager notes that 35% of the customers who buy a product make use of a store coupon…

A: Given: Probability of customers who buy a product is, p=35%=0.35. Number of people purchase the…

Q: 3. An oil company conducts a geological survey that indicates an exploratory oil well should have a…

A: Given Information : An oil company conducts a geological survey that indicates an exploratory oil…

Q: Ninety-nine percent of all babies survive delivery. However, 25 percent of all births involve…

A: Given Information: 99% of all babies survive delivery. 25% of all births involve Caesarean…

Q: Customers are used to evaluate preliminary product designs. In the past, 60% of highly successful…

A: Let, Event  H be the highly successful product P(H) = 0.40 Event M be the moderately successful…

Q: A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan…

A: Binomial distribution : A discrete random variable x is said to binomial distribution the PDF of the…

Q: A nylon connector manufacturing plant yields 15 % defective items. If 1000 connectors are randomly…

A: Here, n = 1000, p = 0.15.

Q: The traffic lights at a certain intersection in the city of Pasadena show green for 50 seconds,…

A: The traffic lights at a certain intersection in the city shows 3 colors viz green, yellow, red.…

Q: Brooklyn Corporation manufactures CDs. The machine that is used to make these CDs is known to…

A: Here, n=100, p=0.06, q=0.94 (=1–0.06).

Q: A local hospital has records of 130 patients who visited the emergency room with a variety of…

A: GivenTotal patients who visited emergency room n(total) = 130number of patients with  high blood…

Q: A group of students and faculty of UO are polled about whether or not UO should switch to a 4 day…

A: Given data,   In Favour Not in Favour Not Sure Total Students 500 220 80 800 Faculty 200 300…

Q: a) If 20 melanoma patients are given Interleukin-2 plus a vaccine, what is the probability that…

A: Given: Number of patients = 178 Group A received interleukin-2 only, Group B received interleukin-2…

Q: To avoid being stuck with a shipment of defective HDTV sets, a large retailer tests a random sample…

A: Sample size n=3 Defect rate p=0.012 q=1-p=1-0.012=0.988 X=Number of defective items…

Q: A quality control engineer inspects a random sample of three batteries from a lot of 30 car…

A: Given,total no.of batteries (N)=30no.of sample batteries(n)=3no.of defective batteries(M)=10X=no.of…

Q: large cable company reports that 42% of its customers subscribe to its Internet service, 32%…

A: Given large cable company reports that 42% of its customers subscribe to its Internet service, 32%…

Q: A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just…

A: It is given that, Aspirin claims that the proportion of headache sufferers who get relief with just…

Q: Alex Insurance Company historically shows that 10% of their insured received at least one traffic…

A: Let the random variable X be the policyholders will receive at least one traffic ticket this year.…

Q: customer from Cavallaro's Fruit Stand picks a sample of 3 oranges at random from a crate containing…

A: From the given information we want to find the probability sample contains one or more rotten…

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

A:

Q: A manufacturer of bicycles produces 80 per cent of its output in its New York factory and the rest…

A:

Q: A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just…

A: Consider that p is population proportion of headache sufferers who get relief with just two…

Q: In a city of 180,000 people there are 20,000 legal immigrants from Latin America. What is the…

A: Given: The total number of people in a city are N=1,80,000. The number of legal immigrants from…

Q: A shipment of 10 microwave ovens contains 2 defective units. A restaurant buys four of these units.…

A:

Q: A manufacturer of metal pistons finds that on the average, 18% of his pistons are rejected because…

A: Givensample size(n)=15p=18%=0.18Let "x" be the no.of pistions…

Q: It is found that a certain pharmaceutical cures symptoms in 35% adults. If 500 people take the…

A: Givenp=0.35n=500x~Binomial(n=500,p=0.35)P(X=x)=(nx)(p)x(1-p)n-x   ; x=0,1,..,n

Q: For a box containing 25 matches dropped into water, what is the probability that fewer than three of…

A: Let p be the probability that a match will light. Given that p = 0.17 Let X denote the number of…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.