show work please 12. The time it takes a mechanic to change oil has an exponential...
4. The time (in minutes) that it takes a mechanic to change oil has an exponential distribution with mean 25 a) Find PX22), P(X> 15), and P(15 <X<22) b) Find the median.
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 amount of time a service technician needs to change the oil in a car is uniformly distributed between 10 and 23 minutes. Let X = the time needed to change the oil on a car. Write the distribution. Find P (x > 20). Find the 65th percentile.
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 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...
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 shape of the distribution of the time required to get an oil change at a 20-minute oil-change facility is unknown. However, records indicate that the mean time is 21.6 minutes, and the standard deviation is 4.6 minutes. Solve : Suppose the manager agrees to pay each employee a $50 bonus if they meet a certain goal. On a typical Saturday, the oil-change facility will perform 45 oil changes between 10 A.M. and 12 P.M. Treating this as a random...
The shape of the distribution of the time required to get an oil change at a 15-minute oil-change facility is unknown. However, records indicate that the mean time is 16.1 minutes, and the standard deviation is 4.8 minutes. (c) Suppose the manager agrees to pay each employee a $50 bonus if they meet a certain goal. On a typical Saturday, the oil-change facility will perform 45 oil changes between 10 A.M. and 12 P.M. Treating this as a random sample,...
The shape of distribution of the time required to get an oil change at a 20 minute oil change faciality is unknown. however records indicate that the mean time is 21.4 minutes and the standard deviation is 4.9 minutes. (c) suppose the manager agrees to pay each employee a $50 bonus If they meet a certain goal. On a typical Saturday the oil change facility will perform 40 oil changes between 10am and 12 pm. Treating this as a random...