A safety engineer claims that only 30% 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 commissioned research, the inter-collegiate swim meets management found out that an estimated…

A: GivenThe percentage of swimmers competing use performance enhancing drugs = 3% The accuracy of the…

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: In a recent​ survey, it was found that the median income of families in country A was $57,300. What…

A:

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: (a) One prominent physician claims that 70% of those with lung cancer are chain smokers. If his…

A: Given information: P(Chain smokers) = 0.70 n = 12 Determine the required probability using the…

Q: According to the National Highway Traffic Safety Administration, 83% of Americans used seat belts…

A: In this question it has given that,Probability (that Americans use seat belt belts regularly) =…

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: 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 survey reports that 53% of college students use Google as their search engine. If 100 students of…

A: From the provided information, Sample size (n) = 100 Probability (p) = 0.53 Now,

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: 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: 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: Ten percent of the engines manufactured on an assembly line are defective. If engines are randomly…

A: Given: Let q be the percent of the defective engines manufactured on an assembly line. That is 10%…

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: According to a recent survey, 35% of respondents drive Japanese-made cars. From a random sample of…

A: Let X be tbe number of driving a Japanese-made car from Binomial distribution with probability (p)=…

Q: A sales firm receives, on average, 3 calls per hour on its toll-free number. For any given hour,…

A:

Q: The air conditioner of 2 out of 10 cars in a car dealership is faulty. For a company that buys 4 of…

A: Giventhe air conditionerof 2 out of 10 carsis…

Q: As part of a promotional campaign, a store is offering a free Fitbit with the purchase of the new…

A: Let A denote the event that iPhone are faulty  Let B denote the event that Fitbits are faulty The…

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: A major appliance retailer claims that 18% of its sales are dishwashers. If 112 appliances are sold…

A: Given info: Here, n=112, p=0.18.

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: In the United States, 75 percent of adults wear glasses or contact lenses. A random sample of 10…

A: A random variable X, is said to follow binomial distribution if the probability mass function of X…

Q: A coach claims that no more than 1/4 of undergrad students will attend football games. What is the…

A: Central limit theorem: The central limit theorem states that the sampling distribution of the sample…

Q: In the construction of midrise buildings, a safety engineer claims that only 40% of all workers wear…

A: Solve using Binomial distribution

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: If a seed is planted, it has a 60% chance of growing into a healthy plant. If 11 seeds are planted,…

A: Let, P(growing)=60% = 0.60 P( not growing)=1-0.60 = 0.40 n = 11 The probability that exactly 4 don't…

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 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: A recent survey reported that 69% of Americans approve of human embryonic stem cell research. If an…

A: Given : Let A be the event of  Americans approve of human embryonic stem cell research. p ( A ) =…

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

A:

Q: In a technology company, it is known that the average of network failure is 3 per week. What is the…

A: Let X denote the number of failures per week.  It is given that Average number of failures per week…

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: A politician running for Senate in California claims that only 34% of Californians approve of the…

A: Obtain the probability that more than 40% of those surveyed approve of the competitor. The…

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: Three percent of a given lot of manufactured parts are defective. What is the probability that in a…

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: Fifty-three percent of U.S. households have a personal computer. In a Random sample of 250…

A: It is an important part of statistics. It is widely used.

Q: If a seed is planted, it has a 95% chance of growing into a healthy plant. If eleven seeds are…

A: Answer:Given that:p=0.95 ,   n=11now will use Binomial probability P(X=x)=nx*Px*(1–P)n–x,where…

Q: An oil company conducts a geological study that indicates that an exploratory oil well should have a…

A:

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

A:

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: If a seed is planted, it has a 70% chance of growing into a healthy plant. If 11 seeds are planted,…

A: Obtain the probability that exactly 1 doesn't grow.   The probability that exactly 1 doesn't grow is…

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

A:

Q: Empirical evidence suggests that 25% of Florida drivers are uninsured. If four random Florida…

A: The probability of more than one driver is uninsured can be calculated using Binomial distribution:

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…