3. A candy company distributes boxes of chocolates with a mixture of creams, toffees,and cordials. Suppose that the weights of the creams, toffees, and cordials vary frombox to box, let X and Y represent the weights of the creams and toffees,respectively, and suppose that the joint density function of these variables isf(x, y) = {24xy,0,0sxS 1,0 s y s 1,x+ ys1elsewhere.a. Find the probability that in a given box the cordials account for more than ½ ofthe weight.b. Find the marginal density for the weight for the creams.c. Find the probability that the weight of the toffees in a box is less than 1/8 of akilogram if it is known that the creams constitute ¾ of the weight.

given Joint density function is, f(x,y)=24xy ;0≤x≤1 , 0≤y≤1, x+y⩽10 ;elsewhere Divide…

A candy company distributes boxes of chocolates with a mixture of creams, toffees, and cordials. Suppose that the weights of the creams, toffees, and cordials vary from box to box, let X and Y represent the weights of the creams and toffees, respectively, and suppose that the joint density function of these variables is 0sxS 1,0 sys 1, S(x, y) = (24xy, x + ys1 0, elsewhere. a. Find the probability that in a given box the cordials account for more than % of the weight. b. Find the marginal density for the weight for the creams. c. Find the probability that the weight of the toffees in a box is less than 1/8 of a kilogram if it is known that the creams constitute % of the weight.

A candy company distributes boxes of chocolates with a mixture of creams, toffees, and cordials. Suppose that the weights of the creams, toffees, and cordials vary from box to box, let X and Y represent the weights of the creams and toffees, respectively, and suppose that the joint density function of these variables is 0sxS 1,0 sys 1, S(x, y) = (24xy, x + ys1 0, elsewhere. a. Find the probability that in a given box the cordials account for more than % of the weight. b. Find the marginal density for the weight for the creams. c. Find the probability that the weight of the toffees in a box is less than 1/8 of a kilogram if it is known that the creams constitute % of the weight.

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...

See similar textbooks

Related questions

Q: a. What value of c will make f(x) a valid density? b. What is P(X = 1)? What about P(X = 1 or X =…

A: The value of c that makes probability density function valid is obtained below: From the given…

Q: If the measurements of the length and width of a rectangle have the joint density of f(x,y) = 1/ab…

A: Given,the length and breadth is given by the pdf - To find the mean and variance of the…

Q: The Weber-Fechner law states that if Y is the physical intensity of sound and X is the perceived…

A: From the given information, fY(y)=ye-y22, y>0 And X=klog(Y)Xk=logYeXk=Yexk*1k=dydx

Q: 1. The density function of X is given by f(x)=², 1≤1≤b. == If median is e³, find a and b.

Q: A candy company distributes boxes of chocolates with a mixture of creams, toffees, and cordials.…

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

Q: A curve has area 0.425 to the left of 4 and area 0.685 to the right of 4. Could this curve be a…

A: In general, the area under the density of the curve is always equal to 1.

Q: There is a bivariate joint density function between the variables Y and X where Y takes the values:…

A: Given that Y = {-2, -4, -6} And E(X|Y=-2) < E(X|Y=-4) < E(X|Y=-6)

Q: The joint probability density of X and Y is f(x, y). Find the marginal density of Y at 1.4. Round to…

A: The joint probability distribution is given by, f(x,y) = 2xy0<x<1, 0<y<2,…

Q: A farmer is planning to fence and fertilize a rectangular plot. Let X and Y represents the width and…

Q: An electronic system has one each of two different types of components in joint oper- ation. Let Y₁…

A: According to guidlines we are supposed to solve first three subparts only and rest can be…

Q: ne marginal de

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: (a) Find the marginal density function for Y,. f2(Y2) = , where (b) For what values of y, is the…

Q: I need to solve this please

A: Solving the Candy Company Distribution ProblemThe candy company distributes boxes of chocolates with…

Q: pressure

A: e)

Q: The proportion of flour Panera Bagel Company uses each day can be explained by a random variable Y…

A: We have given that the probability density function of random variable Y and we need to find the…

Q: A candy company distributes boxes of chocolates with a mixture of creams, toffees, and cordials.…

A: Step 1Step 2Step 3 :Step 4

Q: 7. The joint density function of X and Y is given by f(x,y) = ze (+1) *> 0, y > 0. Find the density…

A: We have to find out the pdf of product of two random variables.

Q: A privately owned iquor store operates both a drive-in facility and a walik-in facility. On a…

A: marginal density function can be defined as the one that gives the marginal probability of a…

Q: At a bus stop, there are two buses available (bus numbers 1 and 2). For i = 1, 2, the waiting time…

Q: After coming back from the sets of “Nailed it!" Jacques decided to bake a pyramid shaped gradient…

Question

3. A candy company distributes boxes of chocolates with a mixture of creams, toffees,
and cordials. Suppose that the weights of the creams, toffees, and cordials vary from
box to box, let X and Y represent the weights of the creams and toffees,
respectively, and suppose that the joint density function of these variables is
f(x, y) = {24xy,
0,
0sxS 1,0 s y s 1,
x+ ys1
elsewhere.
a. Find the probability that in a given box the cordials account for more than ½ of
the weight.
b. Find the marginal density for the weight for the creams.
c. Find the probability that the weight of the toffees in a box is less than 1/8 of a
kilogram if it is known that the creams constitute ¾ of the weight.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Double Integration$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

"Medians, etc problem." Suppose X has density x−2 for x ≥ 1. Find the density function for Y = X2.
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.)