Question
In: Statistics and Probability
Suppose 2 boxes: - Box #1 contains: + 5 Black balls. + 6 White balls. -...
Suppose 2 boxes:
- Box #1 contains:
+ 5 Black balls.
+ 6 White balls.
- Box #2 contains:
+ 8 Black balls.
+ 4 White balls.
- Two balls are drawn from Box #2 and placed into Box #1.
- A ball is drawn from Box #1.
1- What is the probability that the ball drawn from Box #1 is
White?
2- Suppose that the ball drawn from Box #1 is White, then what is
the probability that at least one White
ball was transferred to Box #1?
Solutions
orchestra answered 2 years agoRelated Solutions
Suppose 2 boxes: - Box #1 contains: + 5 Black balls. + 6 White balls. -...
Suppose 2 boxes:
- Box #1 contains:
+ 5 Black balls.
+ 6 White balls.
- Box #2 contains:
+ 8 Black balls.
+ 4 White balls.
- Two balls are drawn from Box #2 and placed into Box #1.
- A ball is drawn from Box #1.
1- What is the probability that the ball drawn from Box #1 is
White?
2- Suppose that the ball drawn from Box #1 is White, then what is
the probability that at...
There are 2 boxes. The first box contains 2 white and 5 black balls. The second...
There are 2 boxes. The first box contains 2 white and 5 black
balls. The second box contains 4 white and 7 black balls. A random
box is chosen and from it a random ball is drawn. a) What is the
probability that the ball is white? b) If the ball is known to be
white, what is the probability that it came from the 1st box?
Following are three boxes containing balls. Box #1 contains 2 black balls and 1 white ball....
Following are three boxes containing balls. Box #1 contains 2
black balls and 1 white ball. Box #2 contains 2 black balls and 2
white balls. Box #3 contains 1 black ball and 2 white ball. Draw a
ball from Box 1 and place it in Box 2. Then draw a ball from Box 2
and place it in Box 3. Finally draw a ball from Box 3 . What is the
possibility that the last ball drawn, from Box...
Two boxes are labelled I and II. Box I contains 4 black balls and 6 white...
Two boxes are labelled I and II. Box I contains 4 black balls
and 6 white balls. Box II contains 2 black balls and 8 white balls.
A player randomly selects one box and then randomly draws 2 balls
without replacement from the selected box.
1) What is the probability of obtaining 2 black balls?
2) Given that 2 black balls are obtained, what is the
probability that Box I is selected?
3) Suppose that 20 players conduct the game...
Problem 1 A box A contains 5 white and 4 black balls; another box B contains...
Problem 1
A box A contains 5 white and 4 black balls; another box B
contains 3 white balls and 5 black ones. 3 balls are transferred
from box A to box B and one ball is taken from box B. What is the
probability that it is white?
Box 1 contains 3 red balls, 5 green balls and 2 white balls. Box 2 contains...
Box 1 contains 3 red balls, 5 green balls and 2 white balls. Box
2 contains 5 red balls, 3 green balls and 1 white ball. One ball of
unknown color is transferred from Box 1 to Box 2. (a) What is the
probability that a ball drawn at random from Box 2 is green? (b)
What is the probability that a ball drawn from Box 1 is not
white?
A box contains three white balls, two black balls, and one red ball. Three balls are...
A box contains three white balls, two black balls, and one red
ball. Three balls are drawn at random without replacement. Let Y1
be the number of white balls drawn, and Y2 the number of black
balls drawn. Find the distribution of Z = Y1 × Y2
There are 2 white balls, 9 black balls and 29 green balls in a box. We...
There are 2 white balls, 9 black balls and 29 green balls in a
box. We draw a ball twice, without replacement. Let X and Y denote
the number of white and black balls, respectively, among the drawn.
Calculate Cov(X,Y).
Suppose 400 balls are distributed into 200 boxes in such a way that no box contains...
Suppose 400 balls are distributed into 200 boxes in such a way
that no box contains more than 200 balls and each box has at least
one ball. Then there are some boxes that together contain exactly
200 balls.
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).
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