Red_Wings_For_Cup

No homework help here...just curious as to what range of answers I'll get.

There are three cards in a hat. One is red on both sides, one is white on both sides, and one is red on one side and white on the other side. You close your eyes, pull a card from the hat, and set it on the table. The side facing up is red. What is the probability that the other side is also red?

(No...it is not 1/2.)

This is probably a stupid question, but I'll take a stab at it anyway. I have a printer (hp deskjet 5940), which I used for my old laptop. It is not compatible with my new laptop, however, because the latter has Windows Vista on it. My question is, can I somehow make it compatible? Is there something I can download to make this work?

We pick six numbers from the list of 45 numbers 1, 2, 3,...., 44, 45. We repeat this process 30 times. What is the probability that each number is picked at least once?

I know that the probability that a given number is picked is 6/45. If we model using Poisson, we get lambda=np=30(6/45)=180/45. But I am not sure where to go from here. How do I use Poisson to approximate??

I conduct an experiment which consists of a series of independent trials. Each trial succeeds with probability p. X is the number of trials until we have a successful trial. Find E[X].

A and B play a game. On each play, they each bet $1. There is a 1/3 probability that A wins, 1/3 that B wins, and 1/3 that it's a tie (so no money changes hands). A starts with $2 and B with $3. The game ends when one of them runs out of money. Find the probability that A wins.

Consider two scenarios:

1) You flip a fair coin until you get two heads in a row.

2) You flip a fair coin until you get a head immediately followed by a tail.

After lengthy calculations, we found that the expected number of tosses was 6 for situation (1) and 4 for situation (2). Explain the difference, from a logical standpoint. Shouldn't the expected values be equal?

Sorry, it's been a while since I've done this...

The series is [(2/5)^n][(3/5)^(n-1)]

How do I find this sum? I can't just find each series separately and multiply them, can I?

You have 10 different marbles and want to distribute them among 5 different boxes. There are no restrictions as to how many can go in a box (so 10 in box 1 and 0 in the other 4 boxes is an option, as is 2 per box). How many ways can this be done? How many ways can it be done if the marbles are all identical?

How many ways can 10 people, named A, B, C, ...J, be arranged in a row such that A is to the right of B (somewhere to the right, not necessarily the next seat)?

notyou--No real reason, other than the fact that I often write in the most snarky and pompous manner possible :)

Thanks for your help.

If dR/dt=J and dJ/dt=-R+J, find formulas for R(t) and J(t) assuming that R(0)=1 and J(0)=0.

Hi all,

I am trying to access a pdf file from a web page of a university with which I am not affiliated. When I do that, I get a "Forbidden" message, telling me that I do not have permission to access the file on this server. I have this same problem when trying to access various pdf files on different web pages. For anyone good with computers, is there a way that I could access the file(s)? I am not particularly well-versed in computers, and when I google this particular problem, most of the explanations go way over my head (they involve lots of tech-lingo, info about Linux, etc).

Help would be enormously appreciated.

A DNA chip is hybridized with fluorescently labeled reverse-transcribed DNA, where the control mRNA (C ) is labeled with a green fluor and the experimental mRNA (E ) with a red fluor. Indicate what you can conclude about the relative levels of expression of a spot in the mircroarray that fluoresces:

a)Red

b)Green

c)Yellow

d)Orange

e)Lime Green

Ok, this is going to sound like a stupid question, but I'm asking anyway. If I am ending a sentence with something that already has a "period" (i.e., I am a big fan of the movie E.T.), do I then end it with one period or two? I mean, which of these is right?

a) I am a big fan of the movie E.T.

b) I am a big fan of the movie E.T..

I need to prove that E[X+Y]=E[X]+E[Y] for two cases:

i)X and Y are independent

ii)general case--no independence

A proof or a link to such a proof would be great.

A, B, and C are independent random variables and each is uniformly distributed on (0,1). What is the joint cumulative distribution function of A, B, and C?

You roll a die twice.

A: Event that at least one of the numbers is 3.

B: Event that the sum of the two numbers is 7.

C: Event that both numbers are odd.

a) Are A and B independent? Are they mutually exclusive?

b) Are A and C independent? Are they mutually exclusive?

You have 4 letters (A,B,C,D) and 2 boxes, one red and one blue.

a) You want to divide the letters, 2 per box. How many ways can you do this?

b) How would your answer to part (a) differ if both boxes were red?

Now consider six letters (A-F), and 3 boxes (red, blue, yellow).

a) How many ways can we divide up the letters among the three boxes, 2 letters per box?

b) How would your answer to part (a) change if all 3 boxes were one color?

Suppose that each of 5 men in a room throws his hat into the center of the room. The hats are mixed up and then each man randomly selects a hat. What is the probability that exactly 3 men select their own hats?

Air has a dielectric strength of 3 megavolts per meter. Consider a capacitor with a 1cm air gap. Find the maximum voltage that can be placed across it without having a spark jump the gap.

Do I just convert cm to m and multiply by 3?