1.The article "Reliability of Domestic-Waste Biofilm Reactors" (J. of Envir. Engr.,1995: 785–790) suggests that substrate concentration of influent to a reactor isnormally distributed with u = 0.3 and o =0.06.What is the probability that the concentrationa. exceeds .25?b. is at most .10?c. lies between 0.15 and 0.35?

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Answered: 1.The article "Reliability of…

A First Course in Probability (10th Edition)

10th Edition

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Author:Sheldon Ross

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Chapter1: Combinatorial Analysis

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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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60. Let .. X, be an iid. sample from an exponential distribution with the density function g. Find the form of an exact confidence interval for τ.
Recall that Benford's Law clalms that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a v leading digit is about 0.301. Now suppose you are the auditor for a very large corporation. The revenue file contains millons of numbers in a large computer data bank. You draw a random sample of n = 229 numbers from this file and r 85 have a first nonzero digit of 1. Let p represent the population proportion of all numbers in the computer file that have a leading digit of 1. large data file, the probability of getting a number with "1" as the () Test the dalm that p is more than 0.301. Use a 0.10. (a) what is the level of signifcance? State the null and alternate hypotheses. O Hg: p = 0.301; H p> 0.301 O Hgi P = 0.301; Hip 0.301; Hp- 0.301 O Ho: P= 0.301; H: p- 0.301 (b) what sampling distribution will you use? O The Student's t, since np > 5 and ng > 5. O The…
Suppose that X has a Weibull distribution with β = 2 and δ = 2400. Determine the following. a. P(X > 5000) = b. For an exponential random variable with the same mean as the Weibull distribution P(X > 5000) =
Let X,, X,, and x, represent the times necessary to perform three successive repair tasks at a certain service facility. Suppose they are independent, normal rv's with expected values 4,, Hz, and uz and variances o,2, 0,2, and o,2, respectively. (Round your answers to four decimal places.) A USE SALT 2 (a) If H1 = H2 = H3 = 60 and o,? = 0,2 . = 18, calculate P(T, s 204) and P(144 s T, s 204). P(T, s 204) = 0.9995 P(144 s T,s 204) = (b) Using the us and os given in part (a), calculate both P(54 s X) and P(58 s Xs 62). P(54 s X) P(58 s Xs 62) = 0.568 0.568 %3D (c) Using the u's and o's given in part (a), calculate P(-12 s X, - 0.5X2 - 0.5X3 s 6). P(-12 s X, - 0.5X, - 0.5x, s 6) = 0.8665
Test the claim about the difference between two population means µ, and H2 at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: H, sH2; a = 0.10. Assume o #o3 Sample statistics: X1 = 2413, s, = 177, n, = 13 and X2 = 2308, s2 = 55, n2 = 10 %3D Hạ: H1 H2 Find the standardized test statistic t.
Contaminated water: Polychlorinated biphenyls (PCBS) are a group of synthetic oil-like chemicals that were at one time widely used as insulation in electrical equipment and were discharged into rivers. They were discovered to be a health hazard and were banned in the 1970s. Assume that water samples are being drawn from a river in order to estimate the PCB concentration. Suppose that a random sample of size 80 has a sample mean of 1.90 parts per billion (ppb). Assume the population standard deviation is o = 0.26 ppb. Part 1 of 3 ▬▬ esc (a) Construct a 98% confidence interval for the PCB concentration. Use tables or technology. Round your answers to at least two decimal places. The confidence interval is 1.83 1.97 Part 2 of 3 Skip Part Check Type here to search 12 2 # * 3 14 $ 4 D Et % 5 6 & 7 4+ Save For Later © 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center 55°F 8 9 ho Submit. ► 11 d 1 3/

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