* Your answer is incorrect.Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 3.5 minutesand standard deviation of 3.5 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Supposethere are two counters in a store, n₁ = 2 customers in the first line and n₂ = 13 customers in the second line. Find the probabilitythat the difference between the mean service time for the shorter line X₁ and the mean service time for the longer one X₂ is morethan 0.1 minutes. Assume that the service times for each customer can be regarded as independent random variables.Round your answer to two decimal places (e.g. 98.76).P = i 98.80

Answered: Image /qna-images/answer/fc5321ed-8bb5-4f77-a210-345bb945777e.jpg

Answered: * Your answer is incorrect. Service…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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According to the Department of Health, Statistics Students sleep an average of 8 hours a night. Assume that ‘hours of sleep a night’ follows a normal distribution with a standard deviation of 1.5 hours. If a statistics student is selected at random what is the probability they sleep less than 6 hours a night? If a statistics student is selected at random what is the probability they sleep more than 8.5 hours a night? If a statistics student is selected at random what is the probability they sleep between than 5 hours and 9 hours a night?
Suppose that the average number of hurricanes is 32 per year with a standard deviation of 2.8 and follow a normal distribution. What is the probability that we will have more than 31 hurricanes this year in a decimal form?
Suppose the weight of watermelons produced in Adana follows the normal distribution with mean 7.2 kg and standard deviation 2.4. Find the proportion of these watermelons that weight heavier than 7.5kg. If we randomly select one of these watermelons, find the probability that its weight will be less than 7kg.
Suppose a population distribution has a mean = 150 and a standard deviation s = 30, and you draw a simple random sample of N = 100 cases. What is the probability that the mean is between 147 and 153?
A surgery has a success rate of 90%. Suppose that the surgery is performed on threepatients Graph the probability distribution for X using a histogram.Find the mean of X.Find the variance and standard deviation of X.
For runners competing in a marathon, the mean time to run a mile is 4.2 minutes with a population standard deviation of 0.6 minutes. A news reporter is looking to include statistics for his article about fast runners. At a marathon, a random sample of 31 runners was taken and the probability that the mean time to run a mile for the sample will be less than 3.9minutes was found. Was the probability a left-tail, right -tail or two-tail probability? What is the probability that the mean time to run a mile for the sample will be less than 3.9 minutes? Select the two correct answers that apply below. You may use a calculator or the portion of the z-table given below. Round your answer to three decimal places if necessary.
A dean in the business school claims that GMAT scores of applicants to the school's MBA program have increased during the past 5 years. Five years ago, the mean and standard deviation of GMAT scores of MBA applicants were 550 and 60, respectively. 30 applications for this year's program were randomly selected and the GMAT scores recorded. If we assume that the distribution of GMAT scores of this year's applicants is the same as that of 5 years ago, find the probability of erroneously concluding that there is not enough evidence to supports the claim when, in fact, the true mean GMAT score is 590. Assume αα is 0.02.
About 77% of all female heart transplant patients will survive for at least 3 years. Eighty female heart transplant patients are randomly selected. What is the probability that the sample proportion surviving for at least 3 years will be less than 69%? Assume the sampling distribution of sample proportions is a normal distribution. The mean of the sample proportion is equal to the population proportion and the standard deviation is equal to The probability that the sample proportion surviving for at least 3 years will be less than 69% is (Round to four decimal places as needed.)
A farmer was interested in determining how many grasshoppers were in his field. He knows that the distribution of grasshoppers may not be normally distributed in his field due to growing conditions. As he drives his tractor down each row he counts how many grasshoppers he sees flying away. After several rows he figures the mean number of flights to be 57 with a standard deviation of 12. What is the probability of the farmer will count 60 or more flights on average in the next 40 rows down which he drives his tractor? Round to four decimal places. OA. 0.4429 OB. 0.0569 OC. 0.9429 OD. 0.5710
1. Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 10.0 minutes and standard deviation of 4.0 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 41, customers in the first line and m₂ = 51 customers in the second line. Find the probability that the difference between the mean service time for the shorter line and the mean service time for the longer X₂ one ¹2 is more than 0.4 minutes. Assume that the service times for each customer can be regarded as independent random variables.

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