STAT15_2: Arad has 9 different pairs of socks in the drawer - 6 of which are...

STAT15_2:

Arad has 9 different pairs of socks in the drawer - 6 of which are dark and 3 are bright. He removes two pairs of random socks from the drawer. Define the following random variables:
X - The number of pairs of dark socks that Ard issued.
Y - Receives the value 1 if the two pairs removed are dark or both light and the value 2 if one pair is dark and the other bright.

A. Find the joint probability function of X and Y and the marginal probability functions.
B. Are X and Y uncoordinated? Are they independent?
C. At least one pair of socks removed is known to be bright. What is the probability that a pair of dark socks was taken out?

Solutions

Expert Solution

orchestra answered 2 years ago

Next > < Previous

Related Solutions

1) a) A drawer contains 9 white socks and 7 black socks. Two different socks are...

1) a) A drawer contains 9 white socks and 7 black socks. Two different socks are selected from the drawer at random. What is the probability that both of the selected socks are white? b) A box contains 10 white marbles and 7 black marbles. Suppose we randomly draw a marble from the box, replace it, and then randomly draw another marble from the box. (This means that we might observe the same marble twice). What is the probability that...

One drawer in a dresser contains 9 blue socks and 5 white socks. A second drawer...

One drawer in a dresser contains 9 blue socks and 5 white socks. A second drawer contains 5 blue socks and 1 white socks. One sock is chosen from each drawer. What is the probability that they match? Express the answer in decimals.

Revisit Bryden’s sock drawer from earlier in the test (4 Cool socks, 6 Hunk socks, 2...

Revisit Bryden’s sock drawer from earlier in the test (4 Cool socks, 6 Hunk socks, 2 Genius socks). If Mr. Smith draws out two socks, one at a time for Bryden to wear, what is the probability that they do not match?

A drawer of socks contains seven black socks, eight blue socks, and nine green socks. Two...

A drawer of socks contains seven black socks, eight blue socks, and nine green socks. Two socks are chosen in the dark. a. What is the probability that they match? b. What is the probability that a black pair is chosen? pls give the exact value of probability

Mixed in a drawer are 2 blue socks, 2 white socks, and 2 gray socks. You...

Mixed in a drawer are 2 blue socks, 2 white socks, and 2 gray socks. You pull out two socks, one at a time, without looking. Find the probability of getting 2 socks of the same color.

Socks in a drawer: In your sock drawer you have 4 blue, 5 gray, and 3...

Socks in a drawer: In your sock drawer you have 4 blue, 5 gray, and 3 black socks. Half asleep one morning you grab 2 socks at random and put them on. Find the probability you end up wearing (Round each answer to four decimal places if necessary.) 2 blue socks. no gray socks. at least 1 black sock. a green sock. matching socks.

Pairs of Red Socks per Worker per Hour (RS) Pairs of White Socks per Worker per...

Pairs of Red Socks per Worker per Hour (RS) Pairs of White Socks per Worker per Hour (WS) Manchester 3 3 Arsenal 2 1 The above table describes the Production Possibility Frontier (PPF) of two cities in the country of footballia. 1. Without trade, what is the price of white socks in terms of red socks in Manchester and in Arsenal? 2. Which city has an absolute advantage in the production of each color sock? Which city has a comparative...

1. 2. 3. A drawer contains black, brown, and white socks. How many socks ensure two...

1. 2. 3. A drawer contains black, brown, and white socks. How many socks ensure two of the same color? With 2,0,3 and 6 how many three digits even numbers can be generated without replacements? We selected 20 persons by the random. What is the probability that only 3 of them have the same birthday at August? Find the probability that only 3 of them have the common month for their birthday?

Sock Problem: Your sock drawer is very unorganized! No socks are paired, and they are all...

Sock Problem: Your sock drawer is very unorganized! No socks are paired, and they are all just thrown randomly into the drawer. You do know that the drawer has four red socks and four blue socks in it. You want to get some socks to wear in the morning, but you do not want to turn on a light for fear of waking up your family. If you draw two, what is the probability of a red pair match? If...

I have four socks in a drawer; each is either black or white. Suppose that my...

I have four socks in a drawer; each is either black or white. Suppose that my null hypothesis is H0 : There are exactly two black socks. We decide on the following test: we take out two socks at random (all at once and without replacement). We reject H0 if the two socks are the same color. [Note: this test doesn’t make a whole lot of sense; this is just to practice the ideas.] a) What is the significance level...

Subjects