A tire company produced a batch of 6,700 tires that includes exactly 230 that are defective.   a. If 4 tires are randomly selected for installation on a​ car, what is the probability that they are all​ good? b. If 100 tires are randomly selected for shipment to an​ outlet, what is the probability that they are all​ good?  Should this outlet plan to deal with defective tires returned by​ consumers?

Q: Q1: Among 10 laptop computers, five are good and five have defects. Unaware of this, a customer buys…

A: Total number of laptops are 10. Number of defective laptop are 5. Number of good laptops are 5.

Q: 10% of switches produced by a factory is faulty. If an inspector examines 10 of those switches, what…

A: Given that 10% of switches produced by a factory are faulty. So, the probbaility that a switch is…

Q: Of 100 patients with a certain disease, 10 were chosen at random to undergo a drug treatment that…

A:

Q: a recent survey indicates that 62% of HKU students who registered in an Economics course have…

A: We have to find out given probabiity..

Q: In the United States, voters who are neither Democrat nor Republican are called Independent. It is…

A: Let "X" be the voters who are independent. I will use excel formula "=BINOM.DIST(x, n, p, FALSE)"…

Q: A recent survey indicates that 62% of HKBU students who registered in an MATH course have purchased…

A:

Q: 2. An Italian web site claims that 80% of all downloads consist of books by foreign authors.…

A:

Q: A telemarketing company has a special letter-opening machine that opens and removes the contents of…

A: A discrete random variable x having the binomial distribution with the parameters n & p. And the…

Q: A nationwide survey of seniors by the University of Michigan reveals that almost 30.0% disapprove of…

A:

Q: A box contains 8 bulbs, of which 5 are good and 3 are defective. If 3 bulbs are randomly taken from…

A: Given that  Total bulbs=8 Good bulbs=5 Defective bulbs=3 3 bulbs are chosen at random

Q: a. If 50 persons were tested in a specific testing center, what is the probability of getting 10…

A: Here  P = probability of tested positive  = 0.60 q= 1-p = 0.40

Q: In a survey of consumers aged 12 and older, respondents were asked how many cell phones were in use…

A: Given, the number of none user cell phones=210, one cell phone user=292, for two=370, for three=141…

Q: In a large city, 37% of all restaurants accept both master and visa credit cards, and 50% accept…

A: #  Let us assume,     M=Master credit card.     V=Visa credit card.     PM∩V=37%=0.37…

Q: The Statistical Bulletin reports that 22.5% of the households in the country are inhabited by one…

A: See below hand written answer: hgyukj

Q: In a poll, 29% of 18- to 29-year-olds had money invested in the stock market (either in an…

A: The following information has been provided: The total number of trials are n=9 The probability of…

Q: You want to determine the probability that when five consumers are randomly selected, exactly two of…

A: The question is about binomial prob. distribution Given : No. of randomly selected customers ( n ) =…

Q: A shipment of 30 compressors contains 5 defectives. if we select a sample of 5 units at random for…

A: a. Let X be the number of defectives. From the given information, there are 30 compressors. It…

Q: In a business statistics class of 30 students, 17 are boys and 13 are girls. On a unit test, 4 boys…

A:

Q: One- fourth of the freshmen entering UC are out of CAR students. If the students are assigned at…

A:

Q: 2. The quality of computer disks is measured by the mumber of missing pulses. Brand X is such that…

A: It is given that the probability of the disks have no missing pulses is 0.80.

Q: (a) What is the probability that of 10 laborers testing positive, 2 are cocaine users, 5 marijuana…

A:

Q: If there are, on the average, 7 defects in a new car, what is the probability that your new car has…

A: The Poisson distribution: A discrete random variable X is said to have a Poisson distribution with…

Q: A manufacturer obtains​ clock-radios from three different​ subcontractors:10%from​ A, 20%from​ B,…

A: Let us denote X= defective  Given that P(A)= 10%=0.10  P(B)= 20%= 0.20  P(C)= 70%=0.70  P(X|A)= 5%=…

Q: A small company has 5 part time employees and 10 full time employees. Of the part time employees, 3…

A: Introduction: In random experiment, mutually exclusive events are very important. These events are…

Q: 10.A car insurance company has determined that 9% of all drivers were involved in a car accident…

A: Given: Probability of success (p) = 9% = 0.09 Number of drivers (n) = 14 Consider, X be the random…

Q: A company audit showed that of 867 bills that were sent out, 565 were paid on time, 122 were paid up…

A: a) It is given that, 867 bills that were sent out, 565 were paid on time, 122 were paid up to 30…

Q: An insurance company classifies the airplane it insures into class L (low risk)   and class H (high…

A: Given, P(L)=0.7 P(H)=0.3 P(no accident | L)=0.99 P(no accident | H)=0.88 Conditional probability:…

Q: have Type AB blood.​ a) On​ average, how many donors must be checked to find someone with Type AB​…

A:

Q: 5. Out of all registered vehicles in California, 95% of them pass the State Emissions Test. If ten…

A: Given information Probability of passing the emission test p = 0.95 10 vehicles are selected X…

Q: In a survey of consumers aged 12 and older, respondents were asked how many cell phones were in use…

A: The data related to cell phone users is given.

Q: A city commissioner claims that 80% of the people living in the city favour contracting out garbage…

A:

Q: 4. What is the probability that in a family of 3 children, at least two are girls? 5. What is the…

A: The specified probability for a number of events, where a specific number of boys or girls occur in…

Q: A karate club consist of 52 persons holding a black belt (highest rating), 69 persons holding a…

A:

Q: In a shipment of 25 hard disks, six are defective. If five of the disks are selected at random, what…

A: Given that, in a shipment  if 25 hard disk, 6 were defective. 5 disks are randomly selected .

Q: In a survey of consumers aged 12 and older, respondents were asked how many cell phones were in use…

A: The below table represents the probabilities of each x value:

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: A population consists of 15 items, 10 of which are acceptable. In a sample of four items, what is…

A:

Q: Suppose that 75% of all college students use TikTok. If 15 are selected at random: a)What is the…

A: Given :  Let X : No. of college students use TikTok  p = 0.75  n = 15

Q: A manufacturer of laptops reports that among a shipment of 5000 sent to a local distributor, 1000…

A: Given: Number of laptop purchased is, n=10. Total number of shipment of laptop is, N=5000. Number…

Q: In a class of 25 students, 15 have a part time job. Ten students are selected at random, a) What is…

A: In a class of 25 students, 15 have a part time job. Probability that student have a part time job =…

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

A:

Q: In a survey of consumers aged 12 and older, respondents were asked how many cell phones were in use…

A: Probability = number of favourable outcome/ total number of outcomes

Q: Suppose that 73% of students in a college have a smart phone. If you select three students at…

A: Let success denotes one selected student have a smart phone. Then p=probability of success= 0.73…

Q: In a survey of consumers aged 12 and older, respondents were asked how many cell phones were in use…

A:

Q: 15. Suppose a fast-food restaurant can expect 6 customers every 9 minutes, on average. a) What is…

A:

Q: 2. A shipment of twelve smartphones contains seven with cracked screens. If sold in a random order,…

A: Given, Total no of smart phones in shipment = 12 Total no of smart phones with cracked screens = 7…

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: According to the American Dental Association, 60% of all dentists use nitrous oxide in their…

A: Given Data population proportion,p = 0.6 sample size n = 600

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.