53. Assemblers at a job-shop are required to submit materials requisition forms inperson to a store clerk at the warehouse to get parts for their current project. Therequests for parts are modeled by an exponential distribution with a mean of 15minutes. A store clerk can handle 10 requests per hour. Answer the followingquestions assuming that there is 2 clerks on duty.a. On average, how many assemblers would be at the counter, including those beingserved?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 clerkswould be optimal in terms of minimizing cost?

a) To find out how many assemblers would be at the counter, including those being served, on…

Answered: 53. Assemblers at a job-shop are…

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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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.
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15. A company is researching the effectiveness of a new website design to decrease the time to access a website. Five website users were randomly selected, and their times (in seconds) to access the website with the old and new designs were recorded. To compare the times, they computed new website design time design time. The results are shown here. old website User Old Website Design New Website Design A 30 25 45 30 25 20 32 30 E 28 27 B
6. Accidents on highways are one of the main causes of death or injury in developing countries and the weather conditions have an impact on the rates of death and injury. In foggy, rainy, and sunny conditions, 1/4, 1/8, and 1/21 of the accidents result in death, respectively. Sunny conditions occur 60% of the time, while rainy and foggy conditions each occur 20% of the time. Given that an accident without deaths occurred, what is the conditional probability that it was foggy at the time?
Step 3: Assess the Evidence (Calculate the test statistic for the observed sample mean. Sketch the T-distribution and identify the position of the observed test statistic. Shade the area that represents the P-value. Use the test statistic to find the P-value.)
5 Imagine that a company sells portable walkie-talkie radios to construction crews. The batteries for these radios last for an average of 55 hours. The purchasing manager for this company receives a brochure in the mail that advertises a new brand of batteries. This new brand of batteries is cheaper than the brand that the company currently uses. However, the purchasing manager is concerned that the cheaper batteries may have a shorter average battery life than the current brand. (Note: The number of hours that batteries last is called their battery life.) The pricing manager installs 40 randomly selected batteries of the cheaper brand in the company's walkie-talkie radios. He finds that the mean battery life for the sample is 52 hours, with a standard deviation of 10 hours. He wants to perform a statistical test at the 1% level of significance to determine whether the cheaper batteries have a shorter average battery life span than the average life span of the brand of batteries the…
a) The average temperature (Centigrade) in London varies from 14C to 31C during the year. i. Calculate indices based on March, base = 100 ii. What is the %age variation between the highest and the lowest temperatures? Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Temp C 15 22 19 24 29 28 31 28 27 22 18 14 Index b) Below are the no of customers, visiting a local Tesco Express, in the first week of holiday season. The store manager would like to avoid stock out in the busy period. Provide forecast of sales on Saturday next week, using 3 point moving average and seasonal variation. Assume same seasonal variation next period.
Two varieties of corn are grown in 4 different locations. Each location provides a value in pounds for each variety.The table below lists the results. Find the standard error for the difference in the production of the two corn varieties to two decimal places. Variety 1 Variety 2 difference location 1 32.1 34.5 -2.4 location 2 30.6 32.6 -2.0 location 3 33.7 34.6 -0.9 location 4 29.7 31.6 -1.3 mean value 31.53 33.18 -1.65 standard deviation 1.76 1.72 0.68 1.23 0.75 0.34 0.98

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