Monthly proportions of customer

Reference no: EM13973700

A personal computer manufacturer produces both desktop computers and notebook computers. The monthly proportions of customer orders received for desktop and notebook computers that are shipped within one weeks time can be viewed as the outcome of a bivariate random variable (X, Y) with joint probability density f( x, y) = (2 - x - y)I10,1J (x)l10,1J(Y)

a. In a given month, what is the probability that more than 75 percent of notebook computers and 75 per cent of desktop computers are shipped within one week of ordering?

b. Assuming that an equal number of desktop and notebook computers are ordered in a given month, what is the probability that more than 75 percent of all orders received will be shipped within one week?

c. Are the random variables independent?

d. Define the conditional probability that less than 50 percent of the notebook orders are shipped within one week, given that x proportion of the desktop orders are shipped within one week (the probability will be a function of the proportion x). How does this probability change as x increases?

Reference no: EM13973700

Questions Cloud

Write a paper about parents should not spank thier children : Write a paper about "parents should not spank thier children". This paper should be broken down into an introduction, the liberal perspective, the conservative perspective.

Probability density function : a. Are there any constraints on the choice of a for f(x) to be a probability density function? If so, precisely what are they? b. Is the random variable X a discrete or a continuous random variable? Why?

Find the joint density function : The joint cumulative distribution function for (X, Y) is given by F(x, y) = ( 1 - e-x/ID - e-y/l + e-lx+SyJ/I0)/10,001 (x)I10,oodY). a. Find the joint density function of (X, Y).

Most unions have opposed free trade agreements : Most unions have opposed free trade agreements, such as NAFTA. On the other hand, most employer lobbying groups have supported such agreements. Is each side's viewpoint justified? How? Please explain.

Monthly proportions of customer : A personal computer manufacturer produces both desktop computers and notebook computers. The monthly proportions of customer orders received for desktop and notebook computers that are shipped within one weeks time can be viewed as the outcome of..

Mobile and wireless : "Mobile and Wireless"Decide whether or not mobile computing and wireless computing are synonymous. Provide at least two (2) reasons to support your assertion and justify your response.

What is the poems basic story and what happens in the poem : What happens in the poem? What is the poem's basic story? What is the trouble or conflict in this poem? Where is the poem set? Where was it written? What does this setting say about the poem overall?

Find the total kinetic energy increase in the process : An unstable atomic nucleus of mass 1.60 x 10-26 kg initially at rest disintegrates into three particles. Find the Velocit of partical 3, and find the total kinetic energy increase in the process

A gentle introduction to optimization : 4. ("A Gentle Introduction to Optimization", by B. Guenin, J. K¨onemann and L. Tun¸cel, CambridgeUniversity Press, 2014) You wish to build a house and you have divided the processinto a number of tasks, namely:

User Account

All Pages