A candy company distributes boxes of chocolates with a mixture of creams, toffees, and cordials. Suppose that the weight of each box is kilogram, but the individual weights of the creams,toffees, and cordials vary from box to box. For a randomly selected box, let X and Y represent the weights of the creams and the toffees, respectively, and suppose that the joint density function ofthese variables is as shown. Find the covariance between the weight of the creams and the weight of the toffees in these boxes of chocolates.1384xy, 0≤x≤f(x,y) =0,elsewherex+ys.

Detailed explanation: To find the covariance between the weight of the creams XXX and the weight of…

Answered: A candy company distributes boxes of…

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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In the gas pipeline of Cactus, Tab. to Reynosa, Tamps. The cost W(Ton/hr) is determined periodically during the day, the results are presented in the following table. t(hrs) O 1.2 8 1.1 4 W(Ton/hr) 1.3 Calculate the amount of gas that is pumped in 20 hours using Simpson's generalized rule. 12 1.4 16 1.25 20 1.2
Let Y be uniformly distributed in [0, 1], and X = In(Y+1). Find the cumulative distributionfunction of X and the density function of X.
A penny and a nickel are tossed. The penny has probability 0.4 of coming up heads, and the nickel has probability 0.6 of coming up heads. Let X = 1 if the penny comes up heads, and let X = 0 if the penny comes up tails. Let Y = 1 if the nickel comes up heads, and let Y = 0 if the nickel comes up tails. a) Find the probability mass function of X. b) Find the probability mass function of Y. c) Is it reasonable to assume that X and Y are independent? Why? d) Find the joint probability mass function of X and Y.
Which of the following functions represent instantaneous rates of change? Group of answer choices a) A position function b) A marginal cost function c) A velocity function d) A volume function e) A linear density function f ) The derivative of a performance function for someone learning a new skill g )An function modeling electric current h )An average rate of change i )A function describing the number of bacteria present in a culture
"Medians, etc problem." Suppose X has density x−2 for x ≥ 1. Find the density function for Y = X2.
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The volume V (in m³) and pressure P (in kPa) of a gas in a cylinder is measured in an experiment and the results are shown in the table below: V 0,1 9,01 | 8,23 Make use of Simpson's rule to calculate the work done W by the gas on the face of the piston. 0,3 0,5 0,7 0,9 P 8. 5,90 4,03
Let X and Y be random variables having joint density functiona. What is the value of C?b. What is the probability that X is greater than 1⁄2 and Y is less than 3/2?c. Determine the marginal density function of X and Y.d. Find E(X), E(Y), Var(X), Var(Y), σ(x), , σ(y)e. Are X and Y independent, show your solutionf. Find the correlation between X and Y variable and interpret your findings, show yoursolution.g. Find the conditional density for X given Y=y, conditional density for Y given X=x
A candy company distributes boxes of chocolates with a mixture of creams, toffees, and cordials. Suppose that the weight of each box is 4 kilograms, but the individual weights of the creams, toffees, and cordials vary from box to box. For a randomly selected box, let X and Y represent the weights of the creams and the toffees, respectively, and suppose that the joint density function of these variables is as shown. Find the covariance between the weight of the creams and the weight of the toffees in these boxes of chocolates. f(x,y) = 32xy, 0≤x≤4,0sy≤4, x+y≤4 0, elsewhere
Xavier and Yolanda both have classes that end at noon and they agree to meet every day after class. They arrive at the coffee shop independently. Xavier's arrival time is X and Yolanda's arrival time is Y, where X and Y are measured in minutes after noon. The individual density functions are given.(Xavier arrives sometime after noon and is more likely to arrive promptly than late. Yolanda always arrives by 12:10 PM and is more likely to arrive late than promptly.) After Yolanda arrives, she'll wait for up to 45 minutes for Xavier, but he won't wait for her. Find the probability that they meet. (Round your answer to three decimal places.)
Please solve for c and d

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