Of all the DVDs in a large shipment, 21% have a defective disc, 15% have a defective case, and 11% have both defects. If you purchase one of the DVDs in this shipment, find the probability that it has the following. (a) a defective disc or a defective case (b) a good disc or a good case (c) a good disc and a good case

Q: A company has 2 machines that produce widgets. An older machine produces 23% defective widgets,…

A: It is given that there are 2 machines in the company, one is older and other one is new.

Q: In your drawer you have 10 pairs of socks, 6 of which are white, and 7 tee shirts, 3 of which are…

A:

Q: There are 2000 autos, 4000 taxis, and 6000 buses in a city. A person can choose any one of these to…

A:

Q: A class contains 16 boys and 10 girls of which half of the boys and half of the girls are fat. Find…

A: Given,no.of boys=16no.of girls=10no.of fat girls=8no.of fat boys=5Total no.of students=26

Q: If out of 1000 houses only 1 house cathches fire in a year. What is the probability that out of 500…

A:

Q: You get a box of twelve chocolates, of three kinds: six Plain, four Coconut, and two Cashew. Draw…

A: Distribution of chocolates is given as, Plain Chocolates=6Coconut Chocolates=4Cashew…

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: If 20% of the bolts produced by a machine are defective, determine the probability that out of 6…

A: Given: p=20%=0.20n=6

Q: Two cards are drawn at random from a deck of 52 cards without replacing the first card before…

A: We know that There are 52 card in the deck in which they divided into two color i.e red(26) and…

Q: 5. In a certain town 40% have brown hair, 25% have brown eyes and 15% have both brown hair and brown…

A:

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

A: Given: The number of flights daily from Pittsburgh via US Airways into the Bradford Regional Airport…

Q: A magician has 10 coins in his pocket. Eight of these coins are normal fair coins (with one head and…

A: According to the provided information, A magician has 10 coins in his pocket. Eight of these coins…

Q: What is the probability that at least four of the next 5 cars get a green light

A: It is given that  Green light = 40 seconds Red light = 15 seconds Yellow light = 5 seconds

Q: Among a company's employees, suppose that 65% like the work that they do for the company, 80% like…

A:

Q: A CLASS IN ADVANCED PHYSICS IS COMPRISED OF 10 JUNIORS, 30 SENIORS AND 10 GRADUATE STUDENTS. THE…

A:

Q: At the durban beach front it rains on 20% of the days and it is windy on 30% of days. if rain and…

A:

Q: A box contains 20 DVDS, 4 of which are defective. If two DVDS are selected at random (without…

A:

Q: A video movie store owner finds that 30% of the customers entering the store ask an assistant for…

A: It is given that the probability that the number of customers entering the store ask an assistant…

Q: 4 out of 100 televisions in stock are defective. If you select two television at random, find the…

A: Introduction: There are 100 televisions, out of which, 4 are defective. Out of the 2 randomly…

Q: In a large city, 8% of the inhabitants have contracted a particular disease. A test for this disease…

A: Assume, D=have disease Dc= do not have diseasep= postive n= negativeGiven:…

Q: A kid has three remote controlled toy race cars and he plays with them 25%, 35% and 40% of the time…

A: Obtain the probability that he was playing with his first car if the remote malfunctioned during the…

Q: In a class 2% of boys and 3% of girls are having blue eyes. There are 30% girls in the class. If a…

A: Answer: For the given data

Q: Seventy percent of the light aircraft that disappear while in flight in a certain country are…

A: Consider D is defined as discovered a light aircraft which disappeared in certain country. And E is…

Q: In a certain country, the true probability of a baby being born a boy is 0.525% Among the next four…

A: Given that, Probability that a baby being born a boy is 0.525 Now, from the next four randomly…

Q: A piggy bank contains a mix of 60 pieces of nickels and 60 pieces of 25-centavo coins. The two kinds…

A: Given data :  Total number of coins = 120  Number of nickels = 60  Number of 25-centavo coins = 60

Q: The employees of a firm that manufactures insulation are being tested for indications of asbestos in…

A: NOTE-AS PER POLICY I HAVECALCULATED FIRST MAIN QUESTION ONLY       Here Given proportion of…

Q: 4 out of 100 televisions in stock are defective. If you select two television la at random, find the…

A: It is given that the 4 out of 100 televisions are defective.

Q: 4 out of 100 televisions in stock are defective. If you select one television at random, find the…

A: Here, n=100 and p=0.04.

Q: In your drawer you have 10 pairs of socks, 6 of which are white. If you reach in and randomly grab…

A:

Q: A company has a plant in China and Japan. 70% of the employees work in China, and 30% work in Japan.…

A: China Japan Total Employees 70 30 100 Involved in accident 3 5 8 Total 73 35 108

Q: Suppose you have 3 nickels and 4 dimes in your right pocket and 2 nickels and a quarter in your left…

A: Consider the following, E=right pocket  is chosenF=left pocket is chosenN=selected coin is nickel…

Q: A contractor orders doors from a local manufacturer to fit the homes they are building. The…

A: Consider that p is defined as the probability that a door will have defects. Since, 3 doors are…

Q: An experienced teacher writes an exam so that, on average, about 5% of students will earn an A…

A:

Q: A machine that produces stampings for automobile engines is malfunctioning and producing 10 %…

A: Given data: The percentage of the defective item is p=10%=0.1. The total numbers of stamp test are…

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: A box contains 24 light bulbs of which four are defective. If one person selects 10 bulbs from the…

A: According to the provided information, a box contains 24 bulbs out of which four are defective. One…

Q: A married couple and four of their friends enter a row of seats in a concert hall. What is the…

A: Total number of people in the concert hall = 4 +2 = 6Total number of pairs = 6C2 = 15

Q: Over the course of a shipping season, 50% of the boats entering Winnipeg Harbour are registered in a…

A: Let x be the number of ships registered in foreign country and x~Bin(n=10, p=0.50) prob.  of x…

Q: We find that 40% of students own a desktop computer, and 30% of students with a desktop also have a…

A:

Q: At a certain company, the mentoring program and the community outreach program meet at the same…

A: Given Mentoring=0.43 Outreach=0.32

Q: An allergist claims that 50% of his patients suffer from some type of allergy. a) What is the…

A: Given : An allergist claims that 50% of his patients suffer from some type of allergy.  Let A…

Q: A can hit a target 4 times in 5 shots, B three times in 4 shots and C two times in 3 shots. They…

A: Solution is given:

Q: Of one card is drawn from a standard deck of cards, what is the probability that the card will be a…

A:

Q: A snack tray is arranged with 6 cups of apple slices in the first row, 8 cups of orange slices in…

A: Introduction: Suppose an experiment consists of n total number of possible outcomes, out of which, n…

Q: A box contains 20 DVDs, 4 of which are defective. If two DVDs are selected at random (without…

A: Given,no.of defective DVDs=4no.of good DVDs=16Total no.of DVDs=20

Q: In a study of 1000 persons there are 450 that males and 550 females. If there are 400 people who…

A: There are 1,000 persons in a study out of which 450 are males and 550 are females. Also there are…

Q: A hand of 5 cards is dealt to each of three players from a standard deck of 52 cards. (a)What is the…

A: Given, A hand of 5 cards is dealt to each of three players from a standard deck of 52 cards.

Q: In a production line where shirts are produced, shirts in two colors, blue and red, are produced. It…

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

Q: A retail shop accepts only cash or checks . Suppose that 61% of its customers carry cash , 30% carry…

A: Given information- Probability of customers carry cash, P (Cash) = 0.61 Probability of customers…

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.