An urn has 2 red, 5 white, and 4 blue balls in an urn and two...
An urn has 2 red, 5 white, and 4 blue balls in an urn and two
are drawn one after another without replacement. What is the
probability that the two balls are both red given that they are the
same color?
An urn contains 7 black balls, 4 red balls, 3 white balls and 1
blue ball, and a player is to draw one ball. If it is black, he
wins $1, if it is red, he wins $2, if it is white he wins $3 and if
it is blue, he pay $25.
a. Set up the empirical probability distribution for the random
variable X, the payoff of the game.
Game Payoff (X)
Probability [P(X)
$1
$2
$3
$4
b....
An urn contains 5 red, 3 orange, and 2 blue balls. Two balls are
randomly selected simultaneously.
(a) What is the sample space?
(b) Define an RV X as the number of orange balls selected. Show
the map from the sample space to X.
(c) Find the PMF of X.
(d) Find the CDF of X.
i have the solutions can one show how to find the probablity on
4c
An urn contains 4 white balls and 6 red balls. A second urn
contains 8 white balls and 2 red balls. An urn is selected, and a
ball is randomly drawn from the selected urn. The probability of
selecting the first urn is 0.7. If the ball is white, find the
probability that the second urn was selected. (Round your answer to
three decimal places.)
An urn contains 4 white balls and 6 red balls. A second urn
contains 7 white balls and 3 red balls. An urn is selected, and the
probability of selecting the first urn is 0.1. A ball is drawn from
the selected urn and replaced. Then another ball is drawn and
replaced from the same urn. If both balls are white, what are the
following probabilities? (Round your answers to three decimal
places.)
- (a) the probability that the urn...
An
urn contains 4 red, 5 blue, 2 yellow, and 9 green balls. A group of
5 balls is selected at random without replacement. What is the
probability that the sample contains:
a. atleast one of each color?
b. at most 3 green balls?
An urn contains 5 red balls and 5 blue balls.
(a) If 3 balls are selected all at once, what is the
probability that 2 are blue and 1 is red?
(b) If 3 balls are selected by pulling out a ball, noting its
color, and putting it back in the urn before the next section,
what is the probability that only the first and third balls drawn
are blue?
(c) If 3 balls are selected one at a...
An urn contains five red balls, six white balls, and seven blue
balls, and a sample of five balls is drawn at random without
replacement.
(a) What is the size of the sample space?
(b) Compute the probability that the sample contains three red
balls, one white ball and one blue ball.
(c) Compute the probability that the sample contains at least
one ball of each color.
(d) Compute the probability that all of the balls in the sample
are...
An urn contains 6 red balls, 7 white balls, and 8 blue
balls.
a) If three balls are sampled without replacement, find
probability that all are different colors
b) If three balls are sampled with replacement, find the
probability that are different colors.
c) i n balls sampled with replacement, find probability that all
are red.
d) If nballs sampled with replacement, find the probability that
all are the same color.
Suppose that there is a white urn containing two white balls and
three red balls and there is a red urn containing two white balls
and four red balls. An experiment consists of selecting at random a
ball from the white urn and then (without replacing the first
ball) selecting at random a ball from the urn having the color of
the first ball. Find the probability that the second ball is
red.