The manager of a restaurant claims that only 3% of the customers are dissatisfied with the service. If this claim is true, what is the probability that in a random sample of 25 customers, at most one is dissatisfied? (approximate in three decimal places)

Q: At a certain international airport, 81% of recent flights have arrived on time. A sample of 12…

A: We have to find given probability.

Q: Thirty percent of a population of consumers is reputed to prefer a particular brand, say Brand A, of…

A: If each trial has only two possible outcomes, that is, success and failure, the probabilities of…

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: In a certain study, the chance of encountering a car crash on the road is stated as 9%. Express the…

A:

Q: A bottle maker believes that 12% of his bottles are defective. If the bottle maker is accurate,…

A: Obtain the probability that the proportion of defective bottles in a sample of 412 bottles would be…

Q: In certain weather forecast , the chance of a thunderstorm is started as 13 % .Express the indicated…

A:

Q: otel manager assumes that 13% of the hotel rooms are booked.   If the manager is correct, what is…

A: Given: Population proportion (p) = 0.13 Sample size (n) = 423 The distribution of sample proportion…

Q: The auto parts department of an automotive dealership sends out a mean of 3.6 special orders daily.…

A: Consider X be random variable which follows Poisson distribution indicating the number of special…

Q: At Denver international airport, 81% of recent flights have arrived on time. A sample of 12 flights…

A: Given  n = 12 , p = 0.81

Q: What is the probability of drawing 4 red cards in a row from a standard deck of 52 cards? Express…

A: Provided information is ; n(sample space) = number of standard deck of cards= 52 here we will first…

Q: A manufacturing company has determined that a machine averages one faulty unit every 600 it…

A: Given that a machine averages one faulty unit every 600 it produces. so the average number of the…

Q: A university claims that 70% of its athletes earn a degree.  Suppose that the records of 100…

A: 70% of the athletes earn a degree. 100 athletes are chosen at random. Define the Random Variable, X…

Q: It is estimated that 75%of all young adults between the ages of 18-35 do not have a landline in…

A: Given Information- p = 0.75 q = 1-0.75 =0.25 n = 100 Here we use Binomial distribution, Binomial…

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

A:

Q: In a certain college, 20% of the physics majors belong to ethnic minorities. If 10 students selected…

A:

Q: A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 40%…

A: Let X denote the no. of people prefer the color of brown and it follows binomial distribution with…

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: 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: On a True/False quiz, what is the probability of guessing 5 out of 10 questions correctly? This is…

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Q: What is the probability that exactly two of these are larger than one ?

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Q: A group of realtors estimates that 23% of all homes purchased last year were considered investment…

A: It is given that 23% of all homes purchased last year were considered investment properties.

Q: A lie detector is known to be 70% reliable when the person is quilty and 95% reliable when the…

A: The machine is reliable when person is guilty is 70% The machine is reliable when person is not…

Q: An assembly line at a plant produces exactly 10000 widgets a day. Suppose that approximately 1 out…

A: From the provided information, Sample size (n) = 10000 1 out of every 2000 fails a standard test and…

Q: An American Association of Individual Investors (AAII) survey found that 25% of AAII members had…

A: Givenp=0.25n=15x~Binomial(n=15,p=0.25)P(X=x)=Cxn px(1-p)n-x   ; x=0,1,....,n

Q: three out of four university students under 25 years old have eaten eggs for breakfast. If a random…

A: Solution: Given data: Probability, P = 3/4  = 0.75 Sample size (n) = 20 To find : the probability…

Q: At Denver international airport, 81% of recent flights have arrived on time. A sample of 12 flights…

A: Solution: Let X be the random variable that flights arrived on time. The probability that flights…

Q: A recent survey found that 70% of all adults over 50 wear sunglasses for driving. In a random sample…

A: The binomial probability distribution is, PX=x=nxpx1-pn-x In the formula, n denotes the number of…

Q: In a certain congressional district, it is known that 20% of the registered voters classify…

A:

Q: Suppose 48 % of the registered voters in a country are Republican. If a sample of 597 voters is…

A: The mean of sampling distribution of proportion is obtained below: From the given information, the…

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

A:

Q: What is the probability that a randomly-chosen customer did order neither wings nor pizza? Justify…

A:

Q: A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50%…

A:

Q: A town recently dismissed 6 employees in order to meet their new budget reductions. The town had 6…

A: Given data: The numbers of employees dismissed are d=6. The numbers of employees over 50 years are…

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 certain instant lottery game, the chance of a win is stated as 25%. Express the indicated…

A: Given that, in a certain instant lottery game, the chance of a win is 25%.

Q: A random sample of 270 homes was taken from a large population of older homes to estimate the…

A: Given: A random sample of 270 homes was taken from a large population of older homes to estimate the…

Q: The chance that a U.S. police chief believes raising the cost of parking tickets "significantly…

A: We have given that  n=9 , p=1/4=0.25  , q=1-0.25=0.75 X~Binomial(n=9,p=0.25) Find P(X=5)

Q: Of all 3- to 5-year-old children, 56% are enrolled in school. If a sample of 500 such children is…

A:

Q: A statistics of a machine factory indicates that for every 1000 it produces there is one reject…

A:

Q: In a retirement community, 13% of cell phone users use their cell phones to access the internet. In…

A:

Q: for a certain horse race, the odds in favor of a certain horse finishing in second place are given…

A: Given:

Q: At Denver International Airport, 81% of recent flights have arrived on time. A sample of 12 flights…

A: Given p = 0.81, n = 12 X ~ B(n, p)   P(X=x) = Cxn px (1-p)n-x P(X≥11) = C1112 (0.81)11…

Q: Previous surveys indicate 33% of households in Barrie regularly recycle household waste through a…

A: Given that  n=10 , p=33%=0.33 , q=1-p=1-0.33=0.67 X~Binomial(n=10,p=0.33) X= Number of blue box

Q: For a certain horse race, the odds in favor of a certain horse finishing in second place are given…

A: Odds in favour:Odds in favour of an event, means the ratio between the number of favourable outcomes…

Q: In a survey of 1000 social-media account holders aged 18 years and older conducted by a certain…

A: Total numbers of account holders: n=1000 Probability that they have one or two account is: p=0.61…

Q: A home security company claims that the reliability rate of their home security system is 90%. If…

A: Given data: n = 16 p =0.90

Q: In a recent survey in a Statistics class, it was determined that only 60% of the students attend…

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

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 recent survey found that 70% of all adults over 50 wear glasses for driving. In a random sample of…

A: Let the random variable X be the number of wear glasses. X takes values 0,1,2,.....,10 . p =…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.