Two pencils are selected at random from a box that contains 3 blue, 2 red, and 3 green pencils. L...

Question

Question

Two pencils are selected at random from a box that contains 3 blue, 2 red, and 3 green pencils. Let X be the number of blue pencils (rows) and Y be the number of red pencils (columns) selected. The joint PMF is: 21-28 00 1 343-14 0 0 3 28 9-28 3-28 2

(a) Find the conditional distribution of the number of blue pencils given the number of red pencils.

(b) Find the conditional mean of the number of blue pencils given the number of red pencils is y.

(c) Find the conditional variance of the number of blue pencils given the number of red pencils is y.

math Statistics-And-Probability

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

SOLUTION:

Given that

Solubion andon and 3 9vetn Pinuly he The value thol a akeand X Can 2- (7 าร์ให้ 0 3 14 2 selectry only ull ani So c,ク Selech ed ontY but bal rird 3

Add a comment

Answer 2

Similar Homework Help Questions

Two pencils are selected at random from a box that contains 3 blue, 2 red, and...

Two pencils are selected at random from a box that contains 3 blue, 2 red, and 3 green pencils. Let X be the number of blue pencils (rows) and Y be the number of red pencils (columns) selected. The joint PMF is: (a) Find the conditional distribution of the number of blue pencils given the number of red pencils. (b) Find the conditional mean of the number of blue pencils given the number of red pencils is y. (c) Find...
A box contains 6 red balls, 3 green balls, 7 blue balls, and 2 white balls....

A box contains 6 red balls, 3 green balls, 7 blue balls, and 2 white balls. If two balls are two be selected with replacement, find the probability of selecting a red and blue ball. Oa. 0.10 O b.0.15 Oc. 0.13 Od.0.08
There is a box of 20 marbles. Of these marbles, 6 are red, 8 are green...

There is a box of 20 marbles. Of these marbles, 6 are red, 8 are green and 6 are blue. 6 marbles are randomly selected from the box without replacement. Let X be the number of marbles that are red or blue, and let Y be the number of marbles that are blue. a. What is the probability the first and second marbles are red, the third and fourth are blue and the fifth and sixth are green? b. What...

Box1: 40 green balls, 3 red balls, 28 blue balls Box2: 22 green balls, 24 red...

Box1: 40 green balls, 3 red balls, 28 blue balls Box2: 22 green balls, 24 red balls, 30 blue balls Experiment: Randomly select one of the two boxes with a 75% of selecting box 1, and 25% chance of selecting box 2, and then draw two balls from the selected box. Record the box number as the r.v. i, and the colors of the two balls as b1, b2. Compute P( i = 1 | b1 = blue) [Round to...
A box contains 9 green marbles, 6 blue marbles, and 8 red marbles. Three marbles are...

A box contains 9 green marbles, 6 blue marbles, and 8 red marbles. Three marbles are selected at random from the box, one at a time, without replacement. Find the probability that the three marbles selected are all different colors.
A ball is taken at random from an urn containing 2 red balls and 3 blue...

A ball is taken at random from an urn containing 2 red balls and 3 blue balls. If the ball is red a fair coin is tossed three times. If the ball is blue non-fair coin is tossed three times; for this second coin the probability of heads is .6. In either case we count the number of heads in the three tosses and call that number X. (a) Compute the conditional probability that X-2 if it is known that...

Problems 9 and 10 A box contains 2 red balls, 3 white and 1 blue balls....

Problems 9 and 10 A box contains 2 red balls, 3 white and 1 blue balls. Three balls are selected at random without replacement Find the probability that at most one ballis red. (C) 00.2 01 O 0.6 0.12 0.8 Question 10 2 pts A box contains 2 red balls, 3 white and 1 blue balls. Three balls are selected at random without replacement Find the probability that {at most one ball is red (C) given that at least one...
There are two boxes with red and blue balls in them. Box I has 1 red...

There are two boxes with red and blue balls in them. Box I has 1 red and 4 blue balls; Box II has 3 red and 2 blue balls. There is a fair coin with Box I written on one side and Box II written on the other. You toss the coin and then draw 2 balls without replacement out of the box that comes up on the face of the coin. a. Let Y be the number of red...
5. Three boxes are numbered 1, 2 and 3. For k 1, 2, 3, box k contains k blue marbles and 5 - k red marbles. In a two-step experiment, a box is selected and 2 marbles are drawn from it without replace...

5. Three boxes are numbered 1, 2 and 3. For k 1, 2, 3, box k contains k blue marbles and 5 - k red marbles. In a two-step experiment, a box is selected and 2 marbles are drawn from it without replacement. If the probability of selecting box k is proportional to k, then the probability that two marbles drawn have different colours is 6. Two balls are.dropped in such a way that each ball is equally likely to...

. There are two boxes with red and blue balls in them. Box I has 1...

. There are two boxes with red and blue balls in them. Box I has 1 red and 4 blue balls; Box II has 3 red and 2 blue balls. There is a fair coin with Box I written on one side and Box II written on the other. You toss the coin and then draw 2 balls without replacement out of the box that comes up on the face of the coin. a. Let Y be the number of...

Two pencils are selected at random from a box that contains 3 blue, 2 red, and 3 green pencils. L...

Homework Answers

Add Answer to:
Two pencils are selected at random from a box that contains 3 blue, 2 red, and 3 green pencils. L...

Post as a guest

Earn Coins