Question
In: Statistics and Probability
An urn contains 4 marbles, either blue or green. The number of blue marbles is equally...
An urn contains 4 marbles, either blue or green. The number of blue marbles is equally likely to be 0, 1, 2, 3, or 4. Suppose we do 3 random draws with replacement, and the observed sequence is: blue, green, blue. What is the probability the urn contains just 1 blue marble?
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orchestra answered 2 years agoRelated Solutions
An urn contains 4 marbles, either blue or green. The number of blue marbles is equally...
An urn contains 4 marbles, either blue or green. The number of
blue marbles is equally likely to be 0, 1, 2, 3, or 4. Suppose we
do 3 random draws with replacement, and the observed sequence is:
blue, green, blue. What is the probability the urn contains just 1
blue marble?
An urn contains 5 blue marbles and 4 red marbles. You draw a certain number of...
An urn contains 5 blue marbles and 4 red marbles. You draw a
certain number of marbles from the urn at random with replacement .
. .
(A) You win $243.00 if you draw more blue marbles than red
marbles. Assuming that you want to win, which is better: drawing 20
marbles or 200 marbles? Explain your answer
briefly.
(B) You win $177.00 if the percentage of red marbles that you
draw is less than 42%. Assuming that you want...
An urn contains three blue and seven green marbles. Alice chooses two marbles at random from...
An urn contains three blue and seven green marbles. Alice
chooses two marbles at random
from the urn. If they have the same color, Bob will pay her $7;
but if they have different colors, Alice will pay Bob $8
a) Give the probability distribution for Alice’s payoffs of this
game. Use proper headings for the table.
b) What are Alice expected winnings in this game?
Is it a fair game?
Experiment: An urn contains 4 blue marbles and 8 orange marbles. Two marbles are drawn without...
Experiment: An urn contains 4 blue marbles and 8 orange marbles.
Two marbles are drawn without replacement. What is the probability
that a blue and orange marble are drawn? A) 0.4444 B) 0.2424 C)
0.1212 D) 0.4848 E) 0.2222
The answer is D I just don't understand how my professor got
it.
An urn contains 5 blue marbles and 4 yellow marbles. One marble is removed, its color...
An urn contains 5 blue marbles and 4 yellow marbles. One marble
is removed, its color noted, and not replaced. A second marble is
removed and its color is noted.
(a) What is the probability that both marbles are blue?
yellow?
(b) What is the probability that exactly one marble is
blue?
A tree diagram has a root that splits into 2 branches labeled
blue and yellow. Each primary branch splits into 2 secondary
branches, labeled blue and
yellow.yellowblueblueblueyellowyellow
(4) An urn contains 7 red marbles labeled {1,2,3,4,5,6,7} and 5 green marbles labeled {1,2,3,4,5}.Four marbles...
(4) An urn contains 7 red marbles labeled {1,2,3,4,5,6,7} and 5
green marbles labeled {1,2,3,4,5}.Four marbles are pulled out at
once (i.e. with no particular order). What is the probability that
...
(a) ... all four marbles are red?
(b) ... more of the marbles are green than red?
(c) ... both red and green marbles are present?
(d) ... two of the marbles chosen are both labeled "5"?
A jar contains 4 Orange, 3 Blue, and 2 Green marbles. (a) Two marbles are selected...
A jar contains 4 Orange, 3 Blue, and 2 Green marbles.
(a) Two marbles are selected one at a time at random without
replacement, so order is observed in the sample. Define the
events:A=“the first marble is Orange”, B= “the second marble is
Orange”. Find(i)P(A), (ii)P(B), (iii)P(A∪B) =P(at least one Orange
marble is obtained in the 2 draws).
Show your work.
(b) Suppose instead three marbles are chosen at random from the
jar by choosing 3 in one hand; no...
Urn A contains 5 green and 4 red balls, and Urn B contains 3 green and...
Urn A contains 5 green and 4 red balls, and Urn B contains 3
green and 6 red balls. One ball is drawn from Urn A and transferred
to Urn B. Then one ball is drawn from Urn B and transferred to Urn
A. Let X = the number of green balls in Urn A after this process.
List the possible values for X and then find the entire probability
distribution for X.
Urn A contains 5 green and 4 red balls, and Urn B contains 3 green and...
Urn A contains 5 green and 4 red balls, and Urn B contains 3
green and 6 red balls. One ball is drawn from Urn A and transferred
to Urn B. Then one ball is drawn from Urn B and transferred to Urn
A. Let X = the number of green balls in Urn A after this process.
List the possible values for X and then find the entire probability
distribution for X.
A box contains 5 green marbles, 8 blue marbles, and 8 red marbles. Three marbles are...
A box contains 5 green marbles, 8 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.
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