Suppose the time it takes a data collection operatorto fill out an electronic form for a database isuniformly distributed between 3 and 4.5 minutes.The cumulative distribution function of the time ittakes to fill out the form is given below:0,for x < 3F(x) =k(x – 3), for 3 < x < 4.5-1,for 4.5 < xDetermine the value of k. Give your answer to twodecimal places.

Answered: Suppose the time it takes a data…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Let X be the number of microorganisms in a proliferation culture whose Function of Cumulative Distribution (fda) is given by: F(x) = 1 − e−λx, for x > 0. What is the value of λ such that P(X ≥ 10.14) = 0.8
If F(x1, x2, x3) is the value of the joint distribution function of X1, X2, and X3 at (x1, x2, x3), show that the joint marginal distribution function of X1 and X3 is given by M(x1, x3) = F(x1, q, x3) for −q < x1 < q, −q < x3 < q and that the marginal distribution function of X1 is given by G(x1) = F(x1, q, q) for −q < x1 < q With reference to Example 19, use these results to find (a) the joint marginal distribution function of X1 and X3; (b) the marginal distribution function of X1.
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The following table gives the millions of metric tons of carbon dioxide emissions in a certain country for selected years from 2010 and projected to 2032. Year 2010 2012 2014 2016 2018 2020 CO2 Emissions 337.5 361.5 395.1 425.8 451.1 496.4 Year 2022 2024 2026 2028 2030 2032 CO2 Emissions 558.2 592.9 628.7 662.1 709.1 742.7 (a) Create a linear function that models these data, with x as the number of years past 2010 and y as the millions of metric tons of carbon dioxide emissions. (Round all numerical values to two decimal places.)y(x) = (b) Find the model's estimate for the 2028 data point. (Round your answer to two decimal places.) million metric tons(c) Find the slope of the linear model. (Round your answer to two decimal places.)Interpret the slope of the linear model. For each year since ---Select--- 2009 2010 2015 2028 2032 , carbon dioxide emissions in the U.S. are expected to change by million metric tons.
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The time for the first widget to be manufactured each morning is random between 1 and 3 seconds with a pdf of f(x)=1/162(x-3)^2(x+6) for 0 < x < 6What is the cumulative distribution function, F(x)? What is the probability of a widget being made earlier than 4 s?Answer to four decimal places What is the probability of a widget being made later than 1.3 s?Answer to four decimal places
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