The Johnson & Johnson Company operates 6 identical machines that are serviced by asingle technician when they breakdown. These breakdowns occur according to thePoisson distribution and average 0.03 breakdowns per machine operating hour. Averagerepair time for a machine is 5 hours and follows the exponential distribution.a) What percent of the technician's time is spent repairing machines? Answer in 4decimal places. Blank 1b) On average, how long is a machine out of service because of a breakdown? Answer in2 decimal places. Blank 2c) On average, how many machines are out of service? Answer in 1 decimalplace. Blank 3Blank 1Blank 2Blank 3Add your answerAdd your answerAdd your answer

Answered: Image /qna-images/answer/fbda239d-ee8c-49fa-84f2-845f2c5c0f6d.jpg

Answered: The Johnson & Johnson Company operates…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A crew is building a series of identical day spas around the United States for a lifestyle company. They build the first one in 160 days from groundbreaking to ribbon-cutting. If the crew's learning curve rate is 97%, it will take nearest 1/10th, to construct the fifth day spa. days, to the
In March 2017, 9,195 men took trips with median duration of 300 seconds, and 2,439 women took trips with median duration of 319 seconds, on New York City's ride sharing program, Citibike. Overall, what was the median duration of all Citibike ride trips that month? A. 304 seconds B. 315 seconds C. 309.5 seconds D. None of these. E. Cannot be determined
23. A population of 30 chemical processing units is to be sampled by a two-person crew. The mean time between calls for this operation is 68 minutes. If the mean service rate is one unit per minute, the cost of the crew and instruments will be $16 per minute. This cost will decrease to $12, $9, and $7 for service intervals of 2,3, and 4 minutes, respectively. The time between calls for service and the service duration are distributed exponentially. If lost profit is $28 per hour for each unit that is idle, find the minimum cost service interval.
6. Consider a coffee shop that uses a single-server queue. The inter-arrival time is exponentially distributed with a mean of 10 minutes and the service time is also exponentially distributed with a mean of 8 minutes. Calculate the: (i) mean wait in the queue (2) (ii) mean number in the queue (2) (iii) the mean wait in the system (2) (iv) mean number in the system (2) (v) proportion of time the server is idle. (2) [10] 7. The arrival of customers at a bank follows a Poisson distribution with a mean arrival rate of 10 customers per hour. The service time at the bank follows an exponential distribution with a mean service rate of 6 minutes per customer. Calculate the average number of customers in the system (including those being served and waiting) and the average time a customer spends in the system. How is the system performing? [8]
Two geysers that are near to each other are labelled as Geyser A and Geyser B. The time between eruptions for a given geyser follows an exponential distribution. The eruption times of the two geysers are independent of one another. The mean amount of time between eruptions of Geyser A is 39 minutes, and the mean amount of time between eruptions of Geyser B is 66 minutes. Given that exactly one of the geysers erupts within the next 49 minutes, determine the probability that it will be Geyser A. O 0.6654 0.7850 O 0.7252 O 0.6953 O 0.7551
A study-aid desk staffed by a graduate student has been established to answer students' questions and help in working problems in your OSCM course. The desk is staffed eight hours per day. The dean wants to know how the facility is working. Statistics show that students arrive at a rate of five per hour and the distribution is approximately Poisson. Assistance time averages 10 minutes, distributed exponentially. Assume population and line length can be infinite and queue discipline is FCFS. a. Calculate the percentage utilization of the graduate student. (Round your answer to 1 decimal place.) b. Calculate the average number of students in the system, including the graduate student service desk. (Round your answer to 1 decimal place.) c. Calculate the average time in the system. (Round your answer to 1 decimal place.) d. Calculate the probability of four or more students being in line or being served. (Round your intermediate calculations to 3 decimal places and final answer to…
53. Assemblers at a job-shop are required to submit materials requisition forms in person to a store clerk at the warehouse to get parts for their current project. The requests for parts are modeled by an exponential distribution with a mean of 15 minutes. A store clerk can handle 10 requests per hour. Answer the following questions assuming that there is 2 clerks on duty. a. On average, how many assemblers would be at the counter, including those being served? b. What is the probability that an assembler would have to wait for service? c. If an assembler has to wait, how long would the average wait in line be? d. What percentage of time are the clerks idle? e. If clerks cost $20 per hour and assemblers cost $40 per hour, what number of clerks would be optimal in terms of minimizing cost?
A researcher who studies mental health is interested in the length of time (in days) that a patient stays in the hospital after they have presented to emergency having suicidal ideation. The researcher follows the first 30 patients during the month of January and follows them until each one of them is released. Below is the histogram of the data obtained from the 30 patients. 1. What is the shape of this distribution and please construct a frequency table. Given the shape and type of data, which measure of central tendency would you be more likely to report? Why?
Suppose you compile all possible samples of 25 children of preschool age in your school district. If you calculate the mean of each sample (M) and create a frequency distribution of these means, this distribution is referred to as the

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