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Get Full Access to Probability And Statistics For Engineers And The Scientists - 9 Edition - Chapter 4 - Problem 34e
Get Full Access to Probability And Statistics For Engineers And The Scientists - 9 Edition - Chapter 4 - Problem 34e

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# The article “Reliability of Domestic-Waste Biofilm ISBN: 9780321629111 32

## Solution for problem 34E Chapter 4

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Problem 34E

The article “Reliability of Domestic-Waste Biofilm Reactors” (?J. of Envir. Engr., 1995: 785–790) suggests that substrate concentration (mg/cm3 )of influent to a reactor is normally distributed with ? = .30and ?= .06. a.? hat is the probability that the concentration exceeds .25? b.? hat is the probability that the concentration is at most .10? c.? ?How would you characterize the largest 5% of all concentration values?

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Step 1 of 3

Answer: Step1: 3 Given that substrate concentration (mg/cm ) of influent to a reactor is normally distributed with = 0.30 and = 0.06. Step2: a). To find the probability that the concentration exceeds 0.25. That is, x P( x > 0.25) = (Z > ) 0.250.3 = ( Z > 0.06 ) = ( Z > -0.8333) = 1 - ( Z < -0.8333) = 1 - 1.7975 ( this value from standard normal table) = 0.7975. Therefore,the probability that the concentration exceeds 0.25 is 0.7975. Step3: b). To find the probability that the concentration at most 0.10. That is, P( x 0.10) = ( Z 0.10.) 0.06 = ( Z -3.33) = 0.0004 (this value from standard normal table) Therefore, the probability that the concentration at most 0.10 is 0.0004. Step4: c). To find the largest 5% of all concentration values. The largest 5% of all concentration values fall at or above the 95th percentile. Hence we need to find the 95th percentile of the normal distribution with mean 0.3 and and standard deviation 00.6. From the table the 95th percentile of the standard normal distribution is 1.6449. Thus, Z ~ N(0,1). z 0.3 + 0.06(1.645) z = 0.3987. Therefore, the largest 5% of all concentration values are the ones at or above 0.3987.

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##### ISBN: 9780321629111

The full step-by-step solution to problem: 34E from chapter: 4 was answered by , our top Statistics solution expert on 05/06/17, 06:21PM. The answer to “The article “Reliability of Domestic-Waste Biofilm Reactors” (?J. of Envir. Engr., 1995: 785–790) suggests that substrate concentration (mg/cm3 )of influent to a reactor is normally distributed with ? = .30and ?= .06. a.? hat is the probability that the concentration exceeds .25? b.? hat is the probability that the concentration is at most .10? c.? ?How would you characterize the largest 5% of all concentration values?” is broken down into a number of easy to follow steps, and 66 words. Since the solution to 34E from 4 chapter was answered, more than 1051 students have viewed the full step-by-step answer. Probability and Statistics for Engineers and the Scientists was written by and is associated to the ISBN: 9780321629111. This textbook survival guide was created for the textbook: Probability and Statistics for Engineers and the Scientists, edition: 9. This full solution covers the following key subjects: concentration, Probability, hat, largest, distributed. This expansive textbook survival guide covers 18 chapters, and 1582 solutions.

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