4. The time (in minutes) that it takes a mechanic to change oil has an exponential...
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12. The time it takes a mechanic to change oil has an exponential distribution with mean 20· +' a) Set up an integral to find P(15 < X < 25), then evaluate the integral.+ 4 b) Find the 40th percentile
The time it takes a mechanic to change the oil in a car is exponentially distributed with a mean of 5 minutes. What is the probability that it will take a mechanic up to 6 minutes to change the oil?
Two mechanics are changing oil filters for the arriving customers. The service time has an Exponential distribution with mean 12 minutes for the first mechanic, and mean 3 minutes for the second mechanic. When you arrive to have your oil filter changed, your probability of being served by the faster mechanic is 0.8. Use simulation to generate 10000 service times and estimate the mean service time for you. Using R code
The time taken by an auto mechanic to complete an oil change is random with mean 30.5 minutes and standard deviation of 2 minutes. a) What is the probability that 40 oil changes take more than 1250 minutes? b) What is the probability that a mechanic can complete 60 or more changes in less than 1850 minutes?
7) The Speedy Oil Change Company advertises that the average mean time it takes to change a customer's oil is 30 minutes. After receiving complaints from dissatisfied customers, the management at Speedy Oil Change headquarters hired a researcher to investigate the complaints to determine if the oil change took significantly longer than 30 MAT 102 DAH Test# 3 Form A NAME 8 minutes. The researcher randomly investigates 16 oil changing jobs and computes the sample mean time to change a...
The Speedy Oil Change Company advertises that the average mean time it takes to change a customer's oil is 10 minutes. After receiving complaints from dissatisfied customers, the management at Speedy Oil Change headquarters hired a researcher to investigate the complaints to determine if the oil change took significantly longer than 10- 8minutes. The researcher randomly investigates 20 oil changing jobs and computes thesample mean time to change a customer’s oil is 11.3 minutes with a sample standard deviation of...
The time that it takes for a mechanic to fix a car has a uniform distribution from 4 to 9 days. Find the probability that it takes the mechanic 6 or more days to fix the car.
The owner of an oil change shop would like to know the mean time it takes to do an oil change at the shop. He takes a random sample of 16 cars that are serviced and finds a sample average of 20.5 minutes and a standard deviation of 7.4 minutes Construct a 90% confidence interval for the true mean time to do an oil change to a car. a) Lower Bound b) Upper Bound
The time required for an oil change at a certain service station follows a distribution with mean 11.4 minutes and standard deviation 3.2 minutes. A random sample of 40 oil changes is selected. (a) Explain why the sampling distribution of ¯ x, the mean time of 40 oil changes, is approximately normally. (b) Find the mean and the standard deviation of the sampling distribution of ¯ x. Round your answers to one decimal place. (c) What is the probability that...
The time (in minutes) between telephone calls at an insurance claims office has the exponential probability distribution: f(x) = 0.20 -0.202 for x 20 a. What is the mean time between telephone calls? Mean time (u) = minutes b. What is the probability of 36 seconds or less between telephone calls? (Note: 36 seconds = 0.60 minutes) If required, round your answer to four decimal places. P(x S 0.60) - c. What is the probability of 3 minute or less...