Delivery times for shipments from a central warehouse are exponentially distributed with a mean of 2.64...
calculate: PART A: Delivery times for shipments from a central warehouse are exponentially distributed with a mean of 2.63 days (note that times are measured continuously, not just in number of days). A random sample of 143 shipments are selected and their shipping times are observed. Approximate the probability that the average shipping time is less than 2.29 days. Enter your answer as a number accurate to 4 decimal places. PART B: A manufacturer knows that their items have a...
calculate PART A, PART B, PART C: PART A: An electronic product takes an average of 3 hours to move through an assembly line. If the standard deviation of 0.5 hours, what is the probability that an item will take between 1.7 and 3.3 hours to move through the assembly line? (Round your answer to 3 decimal places.) PART B: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.5 years, and standard deviation...
The times between parts arrive a manufacturing station is exponentially distributed with mean of 0.5 minute. What is the value of parameter? What is the median time between the parts arrive? What is the standard deviation? What is the 80th percentile? Find the probability of that more than 1 minute elapse between part arrivals. After manufacturing, computer disks are tested for errors. Let X be the number of errors detected on a randomly chosen disk. The following table presents the...
A nationwide study on reaction time is conducted on participants in two age groups. The participants in Group X are less than 40 years old. Their reaction times are normally distributed with mean 0.489 seconds and standard deviation of 0.07 seconds.a. A person is selected at random from Group X. Find the probability that their reaction time is greater than 0.65 seconds. The participants in Group Y are 40 years or older. Their reaction times are normally distributedb. The participants...
Suppose that the time duration of a minor surgery is approximately normally distributed with mean equal to 800 seconds and a standard deviation of 40 seconds. Find the probability that a random sample of 16 surgeries will have average time duration of less than 775 seconds. Use the central limit theorem 9-
the patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3 days and a standard deviation of 1.8 days. What is the 80th percentile for recovery times? (Round your answer to two decimal places.) days. ( could you show me how you got your anwser) Terri Vogel, an amateur motorcycle racer, averages 129.71 seconds per 2.5 mile lap (in a 7 lap race) with a standard deviation of 2.28 seconds. The distribution of her...
10. The times between train arrivals at a certain train station is exponentially distributed with a mean of 10 minutes. I arrived at the station while Dayer was already waiting for the train. If Dayer had already spent 8 minutes before I arrived, determine the following a. b. c· The average length of time I will wait until the next train arrives The probability that I will wait more than 5 minutes until the next train arrives The probability that...
Replacement times for televisions are normally distributed with a mean of 8.2 years and a standard deviation of 1.1 years. Find the probability that a randomly selected television will need a replacement time less than 6 years.
The attention span of toddlers when watching a particular TV show is exponentially distributed with a mean of 8 minutes. Suppose X is the random variable equal to the attention span (in minutes) of a randomly chosen toddler while watching the TV show. Suppose a simple random sample of 60 toddlers has their attention span measured while watching the TV show. Use an appropriate version of the CENTRAL LIMIT THEOREM to find the probability (rounded to four decimal places) that...
The average time between failures of a laser machine is exponentially distributed with a mean of 40,000 hours. a) What is the expected time until 4th failure? b) What is the probability that the time to the 5th failure is greater than 80,000 hours?