6.Assume that X is acontinuous random variable with probability density function (pdf)6.{(I+2)27if -2

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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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Using the following infromation please answer the questions in the image. Let F(x)=6x^2 - 4x^4 Find the open intervals on which f is increasing (decreasing). Then determine the x-coordinates of all relative maxima (minima).
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Use the vertical line test to determine whether the curve is a function. Xmin = -10 Ymin = -100 Xmax = 10 Ymax = 100 Xscl = 2 Yscl = 10 The curve is a function. The curve is not a function. State the probable domain and range. Domain: OR X > -40 O x 2 0 -1 -40 O y 2 0
OHaganBooks.com has been promoting a number of books published by Duffin House. The following table shows the number of books purchased each month from Duffin House for the past 5 months. n(t) 2,000 4.2 - 0.7t n(t) = 300(1.6¹) n(t) = 100(4.1t² - 20.4t + 29.5) = n(t) n(t) Purchase (books) n(t) = Month t (a) Calculate the sum-of-squares error for each of the models. (Round your answers to one decimal place.) 3,000 n(t) 1 + 12(2-¹) n(t) Which of the models best approximates the data? 3,000 1 + 12(2-¹) = = = 1 2,000 4.2 - 0.7t n(t) = 300(1.6¹) n(t) = 100(4.1t² - 20.4t + 29.5) rising falling leveling off something else 2,000 4.2 0.7t 2 1,330 520 520 1,340 rising falling leveling off O something else 3 (b) What do each of the following models predict for the number of new users in the next few months: rising, falling, leveling off, or something else? 3,000 1 + 12(2-¹) 4 n(t) = 300(1.6¹) rising falling leveling off O something else n(t) = 100(4.1t² - 20.4t + 29.5) rising O falling O leveling…
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Use the rules of expectations to show that Var(X) E(X-E(X))") E(X)- E(X) and Var(X + Y) = Var(X) + Var(Y) +2Cov(x,Y)

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continu ous rañdôm Värläble 6. (z+2) if -2