5. The main Harvard exit gate has an outflow rate of 20 cars per minute which can b modeled as a Poisson Random Process. Suppose the east gate is also opened and given tha cars choose it 30% of the time. What will be the new average time (in seconds) it takes for car to exit the main gate? (Use 4 significant figures)
Q: The time between arrivals of vehicles at a particular intersection follows an exponential…
A: given data exponential distributionμ = 11 secondsλ = 111 per secondsx = time between…
Q: what is the probability that the 4th ghost appears more than 30 minutes after the 3rd ghost
A: Here given an old house in philadelphia is inhibited by a variety of ghosts. appearances occur in…
Q: What is the probability of the 7th car exiting within 20 seconds?
A:
Q: The usage time of a telephone belonging to a specific brand may be looked upon as a random variable…
A:
Q: 4. Researchers working for a sports drink company would like to know if a new blend if its popular…
A: now will use T-DISTRIBUTION table to calculate following t-values corresponding given p-value and…
Q: If the rate of appearance of Jaguars is 4/18 years what are the chances you see 7 or more separate…
A: The rate of appeareances of Jaguars = 4/18 yearsTime period = 5 yearsλ = 5* (4/18) = 1.1 Using…
Q: Researchers working for a sports drink company would like to know if a new blend if its popular…
A: Given data : sample size, n = 20 sample mean, x̄ = 270.0 sample standard…
Q: ONLY PART E! Assume that the probability of there being a significant accident in a nuclear power…
A: Given that - Assume that the probability of there being a significant accident in a nuclear power…
Q: Determine whether the normal distribution can be used to compare the following population…
A:
Q: 4. Researchers working for a sports drink company would like to know if a new blend if its popular…
A: The Alternative hypothesis is define as that you might believe to be true or hope to prove true
Q: A certain kind of sheet metal has an average of 7 defects per 12 ft². Assuming a Poisson…
A: A discrete random variable X is said to follow Poisson distribution with parameter , if its…
Q: A car wash has a space that can only accommodate 3 cars and 2 lanes for washing cars. Each lane can…
A: It is given that a car wash has some space and is followed by Poisson process.The objective is to…
Q: 11). Describe the other method that you use for finding probabilities (area under the normal curve).…
A: pleasesee below
Q: A computer network shares a printer. Jobs arrive at a mean rate of two jobs per minute and follow a…
A: Arrival rate jobs per minute (Poisson process).Mean number of pages per job is 4.5.Printer prints…
Q: Suppose a batch of metal shafts produced in a manufacturing company have a variance of 99 and a mean…
A: Sample size n=72Population mean=207Population variance=9Population standard deviation=√variance=√9=3
Q: Problem 2 The number of accidents that occur at a certain intersection follows a Poisson process…
A: Given that,The number of accidents that occur at a certain intersection follows a Poisson…
Q: If electricity power failures occur in a particular industry according to Poisson distribution with…
A: The mean is 15 so m=15 The Poisson distribution is given by: PX=r=15re-15r!
Q: Assume that the number of phone calls that reach a specific phone center follow the Poisson rate at…
A: Let X be the number of calls received per second at the phone center. Then X~Pλ=5 Let Y be the…
Q: The number of corner kicks in a 90 minute soccer game follows a Poisson distribution with a mean of…
A: Poisson distribution is a discrete function which is used to measure the probability of an event…
Q: There is a 5k race, time was normally distributed with a mean of 28 minutes and a sd of 5 minutes.…
A: It is given thatMean, μ = 28Standard deviation, σ = 5Z-Score, Z = ( X - μ )/σwhere, Z be the…
Q: When can we apply chi-square distribution?
A:
Q: 4. Researchers working for a sports drink company would like to if its popular sports drink can help…
A: Given: n= 20.0 ,x̄= 270.0 ,s= 20.0 µ= 300.0 ,significance level(∝)= 0.05 ,degree of freedom= 19.0…
Q: A professor from Transylvania University has developed a device which can be used to detect ghost…
A: Given information: Ghost appearances in the house follow a Poisson process. The average number of…
Q: e length of human pregnancies from conception to birth varies according to a distribution that can…
A: given data, normal distributionμ=267σ=17
Q: A die is tossed twice. Getting a number greater than 4' is considered a success. Find the mean and…
A: Given that A dice tossed twice n=2 Sample space=S={1,2,3,4,5,6} Required outcomes=(5,6) p=2/6=1/3…
Q: distribution. Random samples from the 5 days of experiment have resulted in the following yields:…
A:
Q: A random selection of volunteers at a research institute have been exposed to a typical cold virus.…
A:
Q: average of 4 people per hour arrive at a shop. Assume the Poisson distribution is a reasonable model…
A: Given information: X be the number of arrivals during hour. That means, The probability density…
Q: The length of time for a college applicant to complete the college achievement test is normally…
A: Given: Mean = 70 minutes Variance = 144 min2 To find: The probability of selecting an applicant at…
Q: The number of students showing up to office hours follows a Poisson process with an average of 1…
A: Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: Please do not give solution in image formate thanku. As the supervisor in charge of shipping and…
A: Given , Probability of the defectives in the lot (defective rate)= 5% = 0.05Probability of…
Q: The national blood bank sponsored by the US estimates that approximately 38% of the population has…
A:
Q: A company's quality engineer wants to check whether the average weight of the products coming out of…
A: Given: n = 10 Significance level α = 0.05 Formula Used: Test-statistic t = X-μSn Where X is the…
Q: Suppose that the number of accidents occurring on a highway each day is a Poisson random variable…
A: accidents on a dayA random variable x~Poisson(=3.1)P(X=x)=
Q: For the case of the thin copper wire, suppose that the number of flaws follows a Poisson…
A: The probability mass function of the Poisson distribution is given by
Q: You are given the following data, which you intend to model as a Poisson distribution. Data value 0…
A: The pdf of Poisson distribution is, Px=e-μμxx! The mean is computed as follows:…
Q: The main exit gate has an outflow rate of 20 cars per minute which can be modeled as a Poisson…
A: Given that Exit rate = 20 per minute 1minute 60 seconds Rate=λ=20/60=1/3 34% of times cars choose…
Q: Determine whether the normal distribution can be used to compare the following population…
A:
Q: The number of students arriving at a College Dean’s office for academic consultation during…
A: Given: λ=5 The probability that 2 or less students will arrive in the next 30 minutes is obtained as…
Q: A patient is classified as having gestational diabetes if her glucose level is above 155 milligrams…
A: So the value of Sample mean that is higher than 95% of all other sample mean blood glucose levels is…
Q: d) What is the expected number of rescheduling in one year? e) What is the expected yearly cost to…
A: Based on the received order a manufacturer is rescheduling the available resources on a production…
Q: Suppose a batch of metal shafts produced in a manufacturing company have a variance of 7.847.84 and…
A:
Step by step
Solved in 2 steps with 3 images
- The weights of a population of barrels are normally distributed with a mean of 45.0 lb and a standarddeviation of 7.9 lb a. If I randomly select a barrel, what is the probability that it will be heavier than 50 lb, (and I’ll havetrouble lifting it)? Use formula/chart.Assume that the square footage of a residential house in the US is normally distributed with a mean=1000 and standard deviation=150 square feet. If we select a random house what is the probability that it will be at most 1050 square feet?4. Researchers working for a sports drink company would like to know if a new blend if its popular sports drink can help improve marathon runners' final running time. Marathon times, Y, are known to follow a Normal distribution. Suppose that runners using the old blend sports drink have a mean finishing time of 300 minutes (µ = 300 minutes). A random sample of 20 runners was selected to use the new blend of sports drink in a marathon, finishing with an average time of 270 minutes and a standard deviation of 20 minutes (y = 270 min, s = 20 min). Can it be claimed that the new blend lowers finishing times? COr is it possible that random chance alone can explain the discrepancy? Carry out a hypothesis test of the true mean u using the 4- step procedure. Set your alpha-level to 0.05. %3D c. Which test statistic and sampling distribution under the null should we use? O i. z-score; standard Normal O ii. t-statistic; Student'st
- 4. Researchers working for a sports drink company would like to know if a new blend if its popular sports drink can help improve marathon runners' final running time. Marathon times, Y, are known to follow a Normal distribution. Suppose that runners using the old blend sports drink have a mean finishing time of 300 minutes (H = 300 minutes). A random sample of 20 runners was selected to use the new blend of sports drink in a marathon, finishing with an average time of 270 minutes and a standard deviation of 20 minutes (y = 270 min, s = 20 min). Can it be claimed that the new blend lowers finishing times? Or is it possible that random chance alone can explain the discrepancy? Carry out a hypothesis test of the true mean u using the 4- step procedure. Set your alpha-level to 0.05. a. Which is the correct null hypothesis? O i. Ho: µ = 300 min O ii: Ho: µ = 270 min %3D O ii. Ho: µ < 300 min iv: Ho: µ < 270 minThe number of forklift topples in an area follows a poisson-process with rate 3 accidents per week. Suppose that we observed one forklift topple in the first week. What is the probability that we will observe at most one forklift topples in the next 2 days?A company's quality engineer wants to check whether the average weight of the products coming out of the packaging line does not exceed 10 grams. For this, he measured the weights of the products coming out of the line by making random selection. Measurement values respectively; 8, 11,9,11,9,7,11,10,10,9. After a while ; A press machine with a newer technology has been replaced by a press machine where product losses are frequently experienced in the packaging line. and products with the same features were weighed after being processed in this new pressing machine. After the new pressing machine, the weights of the products were measured as follows; 8,8,13,17,8,12,16,14,13,15. a) Test whether the average weight of the products currently exceeds 10 grams or not, at a = 0.05 significance level, by writing the relevant hypotheses and applying all necessary steps to make a decision. Write down the decision you made as a result of the hypothesis test and interpret your decision. b)The…
- A researcher designs an experiment using two drugs, she prepares 15 independent flasks of yeast growth medium and yeast cells. She adds tunicamycin (T) or caffeine (C) to 5 flasks each. Remaining 5 flasks get no drugs (ND). Doubling time of the yeast cells are measured in each flask, data is in the table. Test if mean doubling time is different in Caffeine (C ) when compared to no drug (ND) using an ANOVA method, report an approximate p-value for the level of significance.Please helpThe occurrence of traffic accidents at an intersection may be modeled as a Poisson process. Based on historical records the average rate of accidents is once every 6 years. Part 1 What is the probability that there will be no accidents at the intersection for a period of 3 years? (Answer correct to 3 decimal places.) number (rtol=0.001, atol=D0.001) Part 2 Suppose that in every accident at the intersection, there is a 5% probability of fatality. Based on the above Poisson model what is the probability of one traffic fatality at this intersection in a period of 3 years? (Answer correct to 3 decimal places.) Hint: Note that here you need to find the mean rate of fatalities per year, first. number (rtol=0.001, atol=D0.001)
- Please show workCourse: StatisticsA study conducted on the number of vehicles arriving per hour at a toll booth established the following results: The mean number of vehicles arriving per hour is 39, the standard deviation is 6 vehicles per hour, the proportion of trucks with respect to the total number of vehicles passing through the toll booth is 12%, according to these data, which one or ones are necessary to establish a Poisson distribution to measure the estimated number "X" of vehicles per hour?I. The average of 39 vehicles per hour.II. The standard deviation of 6 vehicles per hour.III. The ratio of 12% trucks. Select one:a. Only Ib. Only II.c. Only III.d. I and II.e. I and III.
