There are 6 Blue and 6 Red chips in a box. We take 4 chips without...

There are 6 Blue and 6 Red chips in a box. We take 4 chips without replacement. The number of taken Blue chips is shown by X and the number of taken Red chips is shown by Y. the correlation coefficient between X and Y equals:

Expert Solution

orchestra answered 1 year ago

Suppose 4 blue and 4 red chips are in a hat. Each time we draw a...

Suppose 4 blue and 4 red chips are in a hat. Each time we draw a chip we look at its color. If it is blue, we replace it along with one new blue chip. If it is red, we replace it along with two new red chips. What is the probability that, in successive drawing of chips, the second one is blue?

1. Box #1 contains 4 red chips and 1 white chip. Box #2 contains 3 red,...

1. Box #1 contains 4 red chips and 1 white chip. Box #2 contains 3 red, 1 black and 6 white chips. The experiment consists of randomly picking a box, then randomly picking a chip from it. Find the probability that: (a) A red chip is drawn from Box #1: ___________________________________ (b) A red chip is drawn, given that Box #1 was picked: ________________________________ (c) Box #1 was picked, given that the chip is black: _____________________________

Box I contains 4 red and 8 blue marbles while box II contains 5 red and...

Box I contains 4 red and 8 blue marbles while box II contains 5 red and 3 blue marbles. An unfair coin is tossed – whose probability of turning up heads is 40%. If the coin comes up heads box I is chosen and a random marble is chosen, otherwise if it is tails the marble is chosen from box II. Suppose after the first marble is chosen – the experiment is repeated. Assume the first marble is NOT put...

A box contains 7 red and 5 blue marbles. Suppose we select one marble at a...

A box contains 7 red and 5 blue marbles. Suppose we select one marble at a time with replacement. a. Determine the probability that the first blue marble appears on the fourth selection. b. Determine the probability that out of the first 10 selection, there are at least 2 red marbles. c. For part (b), determine the expected and variance number of red marbles selected.

Suppose that there are 8 blue credit cards, 6 red credit cards and 4 blue debit...

Suppose that there are 8 blue credit cards, 6 red credit cards and 4 blue debit cards in a box. It is known that color and card type are to be independent when a card is selected at random from this box. a) How many red debit cards must be present? b) Suppose that, 6 cards are randomly selected in a row with replacement. What is the probability that 2 blue credit cards and 2 blue debit cards are selected?...

13 Balls are in an urn. 4 are blue, 3 are black, 6 are red. If...

13 Balls are in an urn. 4 are blue, 3 are black, 6 are red. If two balls are taken out of the urn at the same time, what is the probability that the balls are of different color? What is the probability that the balls would be different colors if you took one ball and put it back before drawing the second?

Box I contains three blue and two red marbles, Box II contains three blue and three...

Box I contains three blue and two red marbles, Box II contains three blue and three red marbles. Suppose one marble is drawn from Box I and placed in Box II and then one marble is drawn from Box II. Find the conditional probability that the marble drawn from Box I is blue given that the marble drawn from Box II is red.

3. A box contains 5 red balls, 3 blue balls and 1 black balls. Take two...

3. A box contains 5 red balls, 3 blue balls and 1 black balls. Take two balls out randomly. Let X be number of red balls and Y be the number of black balls. (1) Find the joint distribution of (X, Y ). (2) Find P(X = 1|Y = 1).

13) A box contains 5 green marbles, 6 blue marbles, and 8 red marbles. Three marbles...

13) A box contains 5 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 first two marbles selected are not red, and the last marble is red. Round your answer to four decimal places.

A box contains 5 red marbles, 9 blue marbles, and 11 green marbles. We draw two...

A box contains 5 red marbles, 9 blue marbles, and 11 green marbles. We draw two marbles randomly without replacement. Which ones are correct? The probability that the first one is red equals . The probability that the first one is red and the second one is blue equals Given that the first one is NOT blue, the probability that the second marble is blue equals The probability that neither is green equals

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