1| A shipment of 14 television sets includes three that are defective. In how many ways can a hotel purchase four of these sets and receive at least two of the defective sets?
Q: Consider a bag containing five red marbles, two green ones, one transparent one, five yellow ones,…
A:
Q: o How many ways six persons can stand in a line such that two specific persons do not stand close to…
A: six person want to stand in line and two specific not want to stand close to each other. we have to…
Q: 3) In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
A: Given, A group of 5 men and 2 women be made out of a total of 7 men and 3 ways.
Q: In how many ways can a baseball coach prepare a batting order if: The coach still has to select the…
A: From the provided information, Total players = 12
Q: 10. In how many ways can 3 men and 3 women be seated at a round table if (a) no restriction is…
A: Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: (b) Every student in a discrete math class is either a computer science or a mathematics major or is…
A: The union of events A and B is defined as n(A ∪ B) = n(A) + n(B) – n(A ∩ B).
Q: c) How many numbers must be selected from the set {1, 2, 3, 4, 5, 6, 7, 8} to guarantee that at…
A: Given the set of numbers 1,2,3,4,5,6,7,8 To find how many numbers must be selected from the set to…
Q: In how many ways can 8 patients be assigned to 1 private (allowing 1 person only), 1 semi-…
A: here given , 8 patients be assigned to 1 private (allowing 1 person only), 1 semi private(allowing…
Q: What is the minimum number of students required in a discrete mathematics class to be sure that at…
A: We solve the given problem in next step.
Q: How many proper subsets does S = {A, B, C, D} have?
A: We can find the number of proper subsets as below using the required formula.
Q: 4. A club has 25 members. In how many ways can the President, Vice- President, Secretary, and…
A: As you have asked many questions. As per the answering guidelines we will solve first question only.…
Q: 1. How many ways are there to choose a dozen donuts from 18 varieties: a) if there are no two donuts…
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Q: A shipment of 9 television sets includes three that are defective. In how many ways can a hotel…
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Q: In how many ways can a president, a vice president, a secretary and at reasurer be elected from a…
A: Combination only includes number of ways of selection whereas, permutation includes number of ways…
Q: In how many ways can an HR department head choose one or more applicants from six eligible…
A: Number of eligible applicants=6Choose one or more applicants Let, Number of ways=n=?
Q: In how many ways can a party of 6 people be seated on a row of 6 seats if a certain 2 refuse to sit…
A: Given :A party of 6 people be seated on a row of 6 seats if a certain 2 refuse to sit next to each…
Q: A automobile race contains 15 racecars. In how many ways can the racecars finish in first, second,…
A: A automobile race contains 15 racecars.
Q: 1. In how many ways can you seat four adults and seven children along one side of a rectangular…
A: A rectangular table has 4 sides One side of the rectangle table can be chosen in C1 = 4!1!*3!=44…
Q: 2. Nine runners are entered in a 100-meter dash for which a gold, silver, and bronze meda will be…
A: Solution: Total number of runners = n= 9 Number of medals = Gold, Silver and Bronge= r= 3
Q: What is the minimum number of students required in a Mathematics class test to be sure that at least…
A: We need to use the pigeonhole principle. We need to find the minimum number of students that are…
Q: A shipment of 10 television sets includes three thatare defective. In how many ways can a hotel…
A: Consider that the load is of 10 televisions and three of these are defective. Also, consider that…
Q: b.How many cards must be selected from a standard deck of 52 cards to guarantee that at least 5…
A:
Q: A shipment of 25 television setscontains three defective units. In how many ways cana vending…
A: Out of 25 televison sets 3 are defective and 22 are good sets. a)The number of ways of purchasing…
Q: 1. How many ways are there to choose a dozen donuts from 18 varieties: a) if there are no…
A:
Q: 1. How many strings of three lowercase English letters contain at least one vowel?
A: Given: How many strings of three lowercase English letters contains at least one vowel
Q: 2. Among 500 graduating students, 210 of them smoke, 258 drink alcoholic beverages, 216 eat between…
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Q: Consider a shipment of 50 laptops of which four are defective. A. In how many ways can we select…
A: A. The formula for combination is nCr= n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…
Q: 10. In how many ways can we select a group of 2 men and 3 women out of three men and four women…
A: Determine the number of ways in which 2 men and 3 women out of three men and four women can be…
Q: How many people used two modes of transportation if 1978 took public transit, 1494 drove, 818…
A: Given Information: People who took public transit = 1978 People who drove = 1494 People who cycled…
Q: In how many ways can a person invite 3 out of their 11 closest friends to a dinner party?
A: Given , No of closet friends=11
Q: 2. A carton of 12 rechargeable batteries contains one that is defective. In how many ways can an…
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Q: 4. You are dealt 5 cards from a standard deck of 52 playing cards. In how many ways can you get…
A: In a pack of 52 cards there are 4 suits and each suit has 13 cards so there are 3 similar cards to a…
Q: 10 students should be accomodated in two 3-bed and two 2-bed rooms. In how many ways can they be…
A:
Q: Consider a shipment of 50 laptops of which four are defective. A. In how many ways can we select…
A:
Q: 1. A clothing manufacturer makes shirts in four different colors, five different sizes, with round…
A: Let's find.
Q: 10. ow that if there are 30 students in a class, then at least two have last names that begin with…
A:
Q: 5. A shipment of 12 television sets contains 3 defective sets. In how many ways can a hotel purchase…
A: Permutation and combination is a mathematical method to obtain the number of possible way to…
Q: 10 assume that the number of production defects is 26 and that 12 of these are classified as major…
A: Given data, Number of production defects = 26 Number of major defects = 12 Number of design defects…
Q: In a shipment of 22 smartphones, 3 are defective. How many ways can a quality control inspector…
A: Given that In a shipment of 22 smartphones, 3 are defective.
Q: A shipment of 14 television sets includes three that are defective. In how many ways can a hotel…
A: As per our guidelines we suppose to do only one question1.GivenNo.of television =14No.of defective…
Q: Given six distinct pairs of gloves, 12 distinct gloves in all, how many ways are there to distribute…
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Q: Refer to a bag containing 20 balls—six red, six green, and eight purple. In how many ways can we…
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Q: 2. In how many ways can five students queue for tickets for a show?
A: The number of ways in which five students queue for tickets for a show is 5! ways…
Q: 10.) How many birth certificates do you need to guarantee that there are at least 2 people who have…
A: We have to find nom of certificate required
Q: 1. In how many ways can a a boy and a girl be selected from a group of five boys and six girls? 2.…
A: According to bartleby policy I have solved first question. I hope it will help you...
Q: Consider a shipment of 50 laptops of which four are defective. B. How many ways can we select four…
A:
Q: 2.22 In a medical study, patients are classified in 8 ways according to whether they have blood type…
A: Given: Number of ways according to blood type =8 Number of ways according to blood pressure =3
Q: 12. How many possible sets of four marbles include no more than 1 purple marble?
A:
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- A manufacturer of exercise equipment knows that 15% of their products aredefective. They also know that only 35% of their customers will actually use the equipment in the first year after it is purchased. If there is a one-year warranty on the equipment, what proportion of the customers will actually make a valid warranty claim?Suppose that 15% of a Canadian wholesaler’s food products are gluten-free. Furthermore, 70% of its products are peanut-free. Assume that the use of nuts and gluten-containing products are independent. 1. (a) What percentage of this wholesaler’s products contain at least one of the two allergens? (b) What percentage of this wholesaler’s products are allergen-free? 2. What percentage of this wholesaler’s products contain peanuts but no gluten?An agricultural scientist tests six types of fertilizer, labeled A, B, C, D, E, and F, to determine whether any of them produces an increase in the yield of lima beans over that obtained with the current fertilizer. For fertilizer C, the increase in yield is statistically significant at the 0.05 level. For the other five, the increase is not statistically significant. The scientist concludes that the yield obtained with fertilizer C is greater than that of the current fertilizer. Explain why this conclusion is not justified.
- From historical data at a local restaurant indicate that 60% of customers order coffee, 15% order soft drinks, and the remaining order water. The owner of the restaurant is planning on opening a new restaurant for the purpose of stocking enough of various drinks, wants to know if the proportions are the same for his new restaurant as they were for his original restaurant. In a sample of 1000 customers at the new restaurant, 550 ordered coffee, 190 order soft drinks, and the remaining simply wanted water. At the 5% level of significance, does it appear the proportions have changed?22 - It is desired to investigate the difference between the satisfaction rates of the customers in different hotels of the same establishment in a region. 1000 out of 1200 randomly selected customers in Hotel A and 1200 of 1500 randomly selected customers in Hotel B stated that they were satisfied with the hotel services. Which of the following is the point estimate of the difference in customer dissatisfaction rates between hotels A and B? a) 0.03 B) 0.08 NS) 0.067 D) -0.067 TO) -0.03At the Blood Bank, they know that O+ blood is the most common blood type and that 40% of the people are known to have O+ blood. Blood type A- is a very scarce blood type and only 6% of the people have A- blood. Half of the people have blood type A or B. Let: X= number of people who have blood type O+ Y= number of people who have blood type A- Z= number of people who have blood type A or B Consider a random sample of n=9 people who donated blood over the past three months. a) The expected number of people with blood type O+ is _____and the expected number of people with blood type A- is ______Round your answers to 2 decimal places. b) Calculate the following probabilities: P(X=5)=_________ Round your answer to 4 decimal places. P(X>2)=_________ Round your answer to 4 decimal places.
- One car manufacturer produces different models of cars in 4 different factories. Total production; 30% 1. factory 20% 2. factory 22% 3. factory 28% is realized in 4 factories. Only the rates at which a particular model is produced in these factories 1. factory %5, 2.factory %7, 3. factory %10, 4. factory 2 % How much is the production rate of a particular model in the entire production of the company? How likely is it that any car from the specified model we see on the street was produced at 1. factory or at 2. factory?To determine the effectiveness of an oil additive, a testing firm purchased two cars of the same make, year, and model, and drove each a distance of 30,000 miles using the same kind of gasoline, the same kind of oil, the same driver, under the same road conditions. The oil in one engine included the additive, whereas the oil in the other engine did not. At the end of the test, the engines of both cars were dismantled, and it was found that the engine that contained the additive had less wear. The testing firm concluded that the oil additive caused the reduced wear.In a clinical study, a random sample of 540 participants agree to have their blood drawn, which is to be examined for the presence of antibodies against a certain contagious disease. It is found in 22% of the blood samples, which experimenters hope to extrapolate to the general population. From this random sample, 10 participants' blood samples are selected at random. If X is the number of samples out of the 10 who have these antibodies, what can we say about X? A. The sample size is not large enough for us to approximate X using a normal distribution B.The expected value of X is 22 C. X can be approximated using a normal distribution in lieu of a binomial distribution D. X has a sampling distribution that is normal
- Suppose a company charges a premium of $150 per year for an insurance policy for storm damage to roofs. Actuarial studies show that in case of a storm, the insurance company will pay out an average of $8000 for damage to a composition shingle roof and an average of $12,000 for damage to a shake roof. They also determine that out of every 10,000 policies, there are 7 claims per year made on composition shingle roofs and 11 claims per year made on shake roofs. What is the company’s expected value (i.e., expected profit) per year of a storm insurance policy? What annual profit can the company expect if it issues 1000 such policies? Determine the probability of a composition shingle roof claim out of 10,000 = ______ Determine the probability of a shake roof claim out of 10,000 = ______ How many claims are made out of 10,000? = _______ What is the probability of no claims out of 10,000? = _______ How much does each shingle roof claim cost the company, don’t forget each person pays $150…Resistors labeled as 100 Ω are purchased from two different vendors. The specification for this type of resistor is that its actual resistance be within 5% of its labeled resistance. In a sample of 180 resistors from vendor A, 149 of them met the specification. In a sample of 270 resistors purchased from vendor B, 233 of them met the specification. Vendor A is the current supplier, but if the data demonstrate convincingly that a greater proportion of the resistors from vendor B meet the specification, a change will be made. P-value?A sample of 100 college students is selected from all students registered at a certain college, and it turns out that 38 of them participate in intramural sports. True or false: a) The proportion of students at this college who participate in intramural sports is 0.38. b) The proportion of students at this college who participate in intramural sports is likely to be close to 0.38, but not equal to 0.38.