Question 2.2The weight of a cookie box can be at most 1 lb and the probability of X isgiven by the following functions (pdf): f(x) = a + bx³ for 0≤x≤1. Also E(X)=4/6. Find a andb.EditViewInsertFormatToolsTable

Here, we have given the pdf and the expectation value. Then we have to find the value of a and b.

Answered: Question 2.2 The weight of a cookie box…

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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4. As fallen trees lie on the forest floor they slowly decay. Will the amount of light present have an impact on the rate of decay? In the following table x is a random variable representing the remaining percentage of total mass of a log after it was exposed to the elements for three weeks while y represents the numbers of hours of direct sunlight the log received each day. X 0.60 .70 .65 .82 .87 y 1.0 2.3 3.0 4.0 4.5 (a) Plot a scatter diagram of the data. Remember to label your axes appropriately and choose a consistent scale. (b) Based on a scatter diagram, would you estimate the correlation coefficient to be positive, close to zero, or negative? Please circle one of the following choices: A. Positive B. Close to zero C. Negative (c) Interpret your results from parts (a) and (b). 16 tv
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gua-L8.5 CW.p X A Maya Paniagua - Copy of H X 5B"16VW7-mB9MvFajLes2zwUztrRR_ZFrd2e"%5D%2C"acti odf 100% 14 202 L1l.4 23 2045?=23 4. 5, 7. =180 38 mz1 = m25 = %3D %3D m22 = m26 = m23 = m27 = %3D m24 = m28 = %3D

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Question 2.2 The weight of a cookie box can be at most 1 lb and the probability of X is given by the following functions (pdf): f(x) = a + bx³ for 0≤x≤ 1. Also E(X)=4/6. Find a and b.