In the construction of midrise buildings, a safety engineer claims that only 40% of all workers wear safety helmets when they eat lunch at the workplace. Assuming that this claim is right, find the probability that 4 of 6 workers randomly chosen will be wearing their helmets while having lunch at the workplace.

Q: In a Gallup Survey, 90% of the people interviewed were unaware that maintaining a healthy weight…

A: Given Information: 90% of the people interviewed were unaware that maintaining a healthy weight…

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: A monk crossbred plants, which can have purple or white flowers, and obtained 600 plants with white…

A: The number of white flower plant are 600. The number of purple flower plant are 250.

Q: Airlines report that 45% of its flights are on time.  In a random sample of 80 flights, what is the…

A: Given, Let A be the event of success that Airlines report of its flights are on time Random sample…

Q: The owner claims that 1 in 10 ice cream cones will leak due to improper storage of the cones. What…

A: It is given that 1 in 10 ice cream cones will leak due to improper storage of the cones. Hence, The…

Q: According to the U.S. Coast Guard, sixty-five percent of boating accidents occur in light wind…

A: From the provided information, Sample size (n) = 20 Sixty five percent of boating accidents occur in…

Q: Based on a poll, among adults who regret getting tattoos, 20% say that they were too young when they…

A: It is given that n = 5 and p = 0.20.

Q: Seventy percent of rivets from vendor A meet a certain strength specification, and 80% of rivets…

A: Let T denotes with the addition of two random variables(X+Y)

Q: A recent poll  found that 30% of those surveyed are worried about aggressive drivers on the road. If…

A: Given that, A recent poll found that 30% of those surveyed are worried about aggressive drivers on…

Q: A monk crossbred plants, which can have purple or white flowers, and obtained 686 plants with white…

A: Given, Total number of flowers =686  Plants with white flowers  plants with purple flowers =1076…

Q: The Newspaper reports that among individuals in the 40 to 50 age, 45% drink coffee. If 200 people of…

A: Givenp=0.45n=200let "x" be the number of coffee…

Q: It has been found that 1 out of every 10 people who visit a local store purchase cigarettes. If we…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: A recent survey shows that 60% of families regularly schedule family vacations for the month of…

A: Given, 60% of families regularly schedule family vacations for the month of April. Let X = number of…

Q: In testing a certain kind or truck tire over rugged terrain, it is found that 40% of the trucks fail…

A: (a) The probability that from 2 to 6 have blowouts is obtained below: From the given information,…

Q: When purchasing boards from a wood supplier, it has been documented that 44% of the boards that are…

A: Given that  Sample size n =300 Population proportion p=44%=0.44

Q: A national study of patients who were overweight found that 56% also have elevated blood pressure.…

A:

Q: According to the Federal Insurance Agency statistics, the proportion of teenage drivers between the…

A: It is given that n=100 and p=0.54.

Q: Because of the current economic condition, a firm reports that 30 percent of its accounts receivable…

A: Given,n=5p=0.3X=no.of accounts are overdueX~Binomial (n=5 , p=0.3)P(X=x)=cxn pxqn-x  ; x=0,1,2,....n…

Q: In a survey of 1100 female adults (18 years of age or older), it was determined that 341 volunteered…

A: There are 341 adult females who volunteered at least once in the past year among 1100 females.   The…

Q: In testing an HP printer, the Quality Inspector found that 25% of the printers fail to pass the test…

A: Obtain the probability that fewer than 4 fail to pass the test print. The probability that fewer…

Q: According to a study published in a reputable science​ magazine, about 8 women in​ 100,000 have…

A: We have given that  P(C)=0.00008 P(test pos|C)=0.89 Find P( test pos and C)

Q: Based on a​ poll, among adults who regret getting​ tattoos, 23% say that they were too young when…

A: Givenp=0.23n=10x~Binomial(n=10,p=0.23)P(X=x)=(nx)×px×(1-p)n-x     ; x=0,1,...,n

Q: On any given work day, Lillian notices that as she’s driving to school, she is first stopped by a…

A: Let T denote Train and R denote Red light. Given: PR=0.70PT=0.40 Stopped by red light and train are…

Q: In a recent year, 304 of the approximately 300,000,000 people in the United States were struck by…

A: a. In a recent year, 304 of 300,000,000 people in the United States were struck by lightning.

Q: In a classroom survey, 18 out of 30 students reported that they have a car. What is the probability…

A:

Q: In a recent​ survey, it was found that the median income of families in country A was ​$58,000. What…

A: In a recent​ survey, it was found that the median income of families in country A was ​$58,000.

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

A:

Q: On average, under standard inspection, one in every 100 slaughtered chickens passes state inspection…

A: It is given that an average, one in every 100 slaughter chickens passes state inspection, even…

Q: In a recent survey, it was found that the median income of families in country A was $58,000. What…

A: Let X denote the income of families in country A. Given that median of X is 58000

Q: In a recent survey, it was found that the median income of families in country A was $57,700. What…

A: Median: Median is the middle value of the observations in the distribution when the data values are…

Q: In a random survey of 20 students, find the probability that exactly 17 of them will say that they…

A: Given: Total number of students in survey n=20 Number of students say that they do not get enough…

Q: If a person is selected at random from this group, what is the probability that he/she d) Is…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: It has been found that 2 out of every 10 people who visit a local store purchase milk. If we…

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

Q: In an experiment involving smoke detectors, an alarm was set off at a college dormitory at 3 a.m.…

A:

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: A certain group of women has a 0.29​% rate of​ red/green color blindness. If a woman is randomly​…

A: Given, A certain group of women has a 0.29​% rate of​ red/green color blindness. Let P(A) = 0.29% =…

Q: In a large population, 53% of the people have been vaccinated. If 3 people are randomly selected,…

A: In a large population, 53% of the people have been vaccinated. i.e. Probability that the people have…

Q: In a review class of 80 students, 70 passed the board exam. If a student is selected at random, what…

A:

Q: In testing a certain kind of truck tire over rugged terrain, it is found that 39% of the trucks fail…

A: Given : Let X : Number of trucks have blowouts  p : 0.39 ( Probability of trucks fail to complete…

Q: Upon analyzing the cash register receipts of a large department store over an extended period of…

A: let x be the no of customer pay using credit card follow binomial distribution with(n=5 and p=0.3)…

Q: Thirty-eight percent of all shoppers at a large department store are holders of the store’s charge…

A: It is given that, thirty-eight per cent of all shoppers at a large department store is holders of…

Q: On one large campus, 18% of students surveyed said that they spend less than an hour a night…

A: Let X denotes the number of students spend less than hour a night studying. Here, n= 3 and p = 18%…

Q: In testing a certain kind or truck tire over rugged​ terrain, it is found that 25​% of the trucks…

A: In question, Given that In testing a certain kind or truck tire over rugged​ terrain, it is found…

Q: A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just…

A: Consider that p is population proportion of headache sufferers who get relief with just two…

Q: Of the last 6 trains to arrive at Westminster Station, 3 were on time. What is the experimental…

A: There are totally 6 trains to arrive at Westminster Station in which 3 were on time.

Q: A certain group of women has a 0.06% rate of red/green color blindness. If a woman is randomly…

A: Concept: Compliments are the mutually exclusive pair of events. The complementation rule states that…