Given that 0.04% of vehicles break down when driving through a certain tunnel find the probability of (a) no (b) at least two breakdowns in an hour when 2,000 vehicles enter the tunnel.

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: D. Based on the ercent chance of

A: The event A and event B are the mutually exclusive events , they are not the dependent events which…

Q: If a researcher wants to estimate the proportion of customers of a coffee shop that favor the new…

A: Given data: Margin of error ( E) = 0.08 Population proportion = 0.75 Confidence level = 0.95 To find…

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

A:

Q: the numbers of dots on the upward faces of two standard six-sided dice give e score for that throw,…

A:

Q: What is the probability of a stroke over the next 10 years for John Smith, a 68-year-old smoker who…

A: Introduction: The Risk of Stroke (%) is the response variable, being predicted using the predictor…

Q: Suppose we observe 84 alcoholics with cirrhosis of the liver, of whom 29 have hepatomas—that is,…

A:

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

A:

Q: What is the correlation p between X and Y for the joint probability table?

A:

Q: The units without evidence of gas leaks or electrical failure showed other types of failure. If this…

A: The data is given by   Gas Yes Gas No Total Electrical failure 55 17 72 No 32 3 35 Total 87…

Q: After rolling a fair twenty-sided die 200 times, the observed (or experimental) probability of…

A: For a 20-sided fair die, the probability of obtaining a 20 is 1/20 = 0.05.

Q: An experiment consists of flipping a weighted coin with Pr[H]=0.2. The experiment ends when either…

A:

Q: Sixty percent of a population of consumers is reputed to prefer a particular brand A, of vaccine. If…

A: Hai

Q: On average, Connor has noticed that 20 trains pass by his house daily (24 hours) on nearby train…

A: Let X be the number of trains passing by his house

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

A:

Q: A bottle maker believes that 10% of his bottles are defective. If the bottle maker is right, what…

A: Obtain the probability that the proportion of defective bottles in a sample of 599 bottles would be…

Q: At a pre-school 54% of children prefer the colour red over the colour green. From a sample of 80…

A:

Q: If the percentage of sulfate-resistant concrete pieces in one of the factories is 25%, how many…

A:

Q: Suppose we observe 80 alcoholics with cirrhosis of the liver, of whom 25 have hepatomas, that is,…

A: Obtain the probability of observing at least 30 cases of hepatomas among the 80 alcoholics with…

Q: A study of 240 randomly selected residents of a subtropical resort city with 82,000 residents found…

A: It is given that n =240 and p =0.03.

Q: At a cell phone assembly plant, 82% of the cell phone keypads pass inspection. A random sample of…

A:

Q: On average, Connor has noticed that 7 trains pass by his house daily (24 hours) on nearby train…

A:

Q: 8. A recent study of cardiovascular risk factors reported that 30% of adults meet criteria for…

A: (c )   Determine the number of adults that would be expected to meet the criteria for hypertension.…

Q: What is the probability of no failures in a given day? b. What is the probability of one or more…

A:

Q: The percentage of the damaged production of a lamp factory is 1000. If a sample of 5 lamps is…

A:

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

A: Given Information No of headache sufferers (n) = 400 Proportion of Headache sufferers who get relief…

Q: hilitu of cuccers n035 and n=5 trials is conducted, What is the probability that the experiment…

A: It is given that n=5 and p=0.35.

Q: 1) The number of cracks in a 105-km expressway is 30. What is the probability that there would be no…

A: Solution.

Q: 4 percent of the personal computers made by the Apple Company are returned by customers for service.…

A: Given that,  Probability,p= 4% = 0.04 And sample size, n= 64 We know that, According to the given…

Q: The Wilson family had 9 children. Assuming that the probability of a child being a girl is 0.5, find…

A: Let X be the number of girl child follows Binomial distribution with n=9 and probability of girl…

Q: Suppose the pmf of a random variable X is as given in the accompanying table. What is the…

A:

Q: Based on this table, what is the probability that a student shows improvement if it is known that…

A: The data is given by   Improvement No improvement Total Attend 190 50 240 Not attend 200 200…

Q: Consider the case where the predetermined average number of bus arrivals at the Cubao Station is 6…

A: As given, the average number of bus arrivals at the Cubao Station is 6 per 15-minute period. This…

Q: It is estimated that 8.3% of all Americans have diabetes.  Suppose that a random sample of 74…

A: It is given that:

Q: Consider the case where the predetermined average number of bus arrivals at cubao station is 6 per…

A: The pre determined average number of bus arrivals at cubao station is 6 per 15 minute period.

Q: 13 percent of the patients in a study reported previous episodes of a stroke. Use 13 percent as the…

A: The mean and the standard deviation of the sampling distribution of the sample proportion is,

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

A:

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

A: Solution: From the given information, the proportion of headache sufferers who get relief with just…

Q: If the probability of a machine producing a defective part is 0.8, what is the probability of…

A: Givenp=0.8n=8Let "x" be the defective partsx~Binomial(n=8,p=0.8)P(X=x)=(nx)×px×(1-p)n-x   ;…

Q: 7 percent of all cooling fans produced in a factory are defective. A quality inspector randomly…

A: Let p be the probability that a fan is defective. Given that p = 7% = 0.07 Let X denote number of…

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

A:

Q: The average number of calls received by a switchboard in a 30-minute period is 10. a. What is…

A: To calculate: a. What is the appropriate probability distribution for X? b. What is the probability…

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: 24. When the value of alpha is increased, the probability committing a type II error is

A: Here use graphical representation for better information

Q: In a new fiber-optic communication system, trans- mission errors occur at the rate of 1.5 per twenty…

A: Given,The average no.of errors occur per twenty seconds is 1.5so, the average no.of errors occur per…

Q: So in dogsm black fur is dominant tk white. A heterozygous black dog is mated with a white dog. What…

A: The probability of a litter of eight pups with four having black fur and four having white fur:

Q: An experiment consists of flipping a weighted coin with Pr[H]=0.6. The experiment ends when either…

A: Given, A was flipped at most two times. If coin is tossed 1st time and success then it is {T} If…

Q: What is the probability of an emission conforms to air-quality and Supplied from B?

A: Given Data : Total sample of emissions = 29 + 24 + 31 + 13 + 10 + 7 = 114

Q: If the probability of a machine producing a defective part is 0.01, what is the probability of…

A: