(b) An inspection on 10,000 iPhone 13 Pro Max found that 27 of them have scratches. If two iPhone 13 Pro Max are selected at random without replacement, what is the probability that both have scratches?

Q: A random sample of 100 blue-collar employees at a large corporation are surveyed to assess their…

A: Given: Sample size (n) = 100 Probability of success (p) = 0.60 Let X ~ Bin (100, 0.60)

Q: The New York Times reported that 70% of adults know someone who has been exposed to coronavirus.…

A: Givenp=0.70n=20Let "x"be someone who has been exposed…

Q: It is found that 10% of watches produced at a particular factory are defective.  If 14 watches made…

A:

Q: According to a recent study, 14% of U.S. drivers are uninsured. A random sample of seven drivers was…

A:

Q: A biologist finds that 25​% of fruit flies have short wings and 30​% have eye defects. Assuming…

A: Solution:From the given information, the probability that fruit flies have short wings is 0.25…

Q: The manager of Vangaurd Assurance has recently examined the automobile insurance customers and found…

A: It can be observed that there are two possible outcomes. Now for such probability questions, normal…

Q: Two regular 6-sided dice are tossed, one at a time. Compute the probability that the pips on both…

A: For each die, there are 6 possible outcomes.  So for 2 six-sided dice, there are 62=36 outcomes.…

Q: In the first quarter of​ 2013, company A held approximately 76% of the wireless phone market in a​…

A:

Q: From a well-shuffled deck of ordinary playing cards, four cards are turnedover one at a time without…

A: A well shuffled deck of card contains 52 cards of which 26 cards are red and  13 card are spades.…

Q: In a group of 2000 taxpayers, 400 have been audited by the IRS at least once. If one taxpayer is…

A:

Q: 66% of students at one college drink coffee, and 13% of people who drink coffee suffer from…

A: Given: Probability of students who drink coffee = 0.66 Probability of students who drink coffee…

Q: A sample of 4 different calculators is randomly selected from a group containing 46 that are…

A: Solution: From the given information, a group contains 46 defective calculators and 26 non-defective…

Q: On a particular production line, the likelihood that a light bulb is defective is 5%. Ten light…

A: Given data Probability that light bulb is defective = 0.05 No of bulbs = 10  probability that none…

Q: 3. A recent report was issued that suggested 45% of all cell phone calls in 2022 will be scams.…

A: The provided information is  n=500 p=0.45 X~B(n=500,p=0.45)   The mean and variance is…

Q: According to the Experian Automotive, 35% of all car-owning households have three or more cars.Find…

A:

Q: A recent study found that 63% of all tax returns have no errors. Assuming this is true, find the…

A: Solution: Let X be the number of tax returns have no errors and n be the sample of tax returns. From…

Q: A tire company produced a batch of 5,500 tires that includes exactly 220 that are defective. If 4…

A: Obtain the probability that all the tires good. The probability that all the tires good is obtained…

Q: A drug den uses a traveler to deliver drugs without being apprehended by the customs. The traveler…

A:

Q: In a police report submitted by the Cordillera Police Station, poverty is the main reason mentioned…

A: Solution: Let X be the number of crimes resulted from poverty as the main reason for committing…

Q: It is reported that 65% of all female education majors are happy with their choice of major, while…

A: Let define the events: F = Educated majors are female M = Educated majors are male H = Students…

Q: In a batch of 2000 calculators , there are, on average, 8 defective ones. If a random sample of 150…

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: In a small private​ school,6 students are randomly selected from 11available students. What is the…

A: We have 11 students out of which we have to select the 6 students and then find the probability that…

Q: A sample preparation for a chemical measurement is completed correctly by 25% of the lab…

A:

Q: If four peas are randomly selected from a batch consisting of four smooth yellow plantsand four…

A: There are four smooth yellow plants and four wrinkly green plants in a batch if the four peas are…

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

A: In the bottle, there are (6+9) = 15 tablets. Among the 15 tablets, 6 are narcotic tablets and 9 are…

Q: A survey has shown that on average, 1 person in 1000 makes a mistake on leaving their belongings…

A:

Q: A certain group of women had a 0.73% rate of red/green color blindness. If a woman is randomly…

A: It is given that a certain group of women had a 0.73% rate of red/green color blindness.

Q: On a particular production line, the likelihood that a light bulb is defective is 4%. five light…

A:

Q: A flashlight has 71 batteries, 13 of which are defective. If two are selected at random without…

A:

Q: Based on a​ poll, 67​% of Internet users are more careful about personal information when using a…

A: Consider a random variable X which represent the number internet users who are more careful about…

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

A:

Q: A recent nationwide study of myopia, nearsightedness, found that 38.1% of U.S. adults ages 18 to 24…

A: A recent nationwide study of myopia, nearsightedness, found that 38.1% of U.S. adults ages 18 to 24…

Q: A safety engineer claims that only 40% of all workers wear safety helmets when they eat lunch at the…

A: Given,n=6p=0.4q=1-0.4=0.6A random variable X~Binomial(n=6 , p=0.4)P(X=x)=6x0.4x0.66-x   ;…

Q: In a group of 50 ballpoint pens on a shelf in the stationary department of Metro Department Store, 2…

A: (a) There are total 50 pens so, N = 50 out if 50, 2 pens are defective and else are not defective.…

Q: Based on a Comcast​ survey, there is a 0.8 probability that a randomly selected adult will watch​…

A:

Q: A certain group of women has a 0.210.21​% rate of​ red/green color blindness. If a woman is…

A: Given DataPercentage of women having red/green color blindness = 21%Probability of women having…

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: It has been found from experience that there is an average of five faults per 50 metres of cloth…

A: Probability distributions are of 2 types, discrete and continuous. Poisson distribution is a…

Q: On a particular production line, the likelihood that a light bulb is defective is 5%. Ten light…

A: Solution: Let X be the number of defective light bulbs and n be the sample number of light bulbs.…

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: An IRS auditor randomly selects 3 tax returns fro 49 returns of which 6 contain errors. What is the…

A: given data   6 - contain errors 43 - error free ____________________ 49 - total returns filled

Q: From a group of 50 Dell monitors containing 20 that are defective and 30 that have no defects, a…

A: Obtain the probability that at least one of the dell monitor is defective.   The probability that at…

Q: In a test of a​ gender-selection technique, results consisted of 294 baby girls and 272 baby boys.…

A: From the given information, number of baby girls = 294. Number of baby boys = 272. Total number of…

Q: In a genetics experiment on peas, one sample of offspring contained 367 green peas and 40 yellow…

A: Given data Sample of offspring contains 367 green peas and 40 yellow peas Total peas = 367 + 40 =…

Q: A safety engineer claims that only 30% of all workers wear safety helmets when they eat lunch at the…

A: The Probability mass function for Binomial distribution is given by                     P(X=x)=ncx…

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…