Question
In: Statistics and Probability
PROBLEM 2. 20 pts. An urn contains 4 Red balls and 6 Green balls. If 4 balls are...
PROBLEM 2. 20 pts. An urn contains 4 Red balls and 6 Green balls.
- If 4 balls are taken one at a time with replacement. Find the probability that one is R. Find also the expected number of R and the standard deviation of R
- If 4 two balls are taken one at a time without replacement. Find the probability that only one is Red
Solutions
orchestra answered 2 years agoRelated Solutions
PROBLEM 2. 20 pts. An urn contains 4 Red balls and 6 Green balls. If 4...
PROBLEM 2. 20 pts. An urn contains 4 Red balls and 6 Green
balls. If 4 balls are taken one at a time with replacement. Find
the probability that one is R. Find also the expected number of R
and the standard deviation of R If 4 two balls are taken one at a
time without replacement. Find the probability that only one is
Red
An urn contains 6 red balls and 4 green balls. A sample of 7 balls is...
An urn contains 6 red balls and 4 green balls. A sample of 7
balls is selected at random.
a. How many different samples are possible?
b. How many samples contain 5 red and 2 green balls?
c. How many sample contain all red balls?
d. How many samples contain at least 4 red balls?
e. What is the probability in a draw of 7 balls there is 3 red
and 4 green?
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.
Urn 1 contains 8 green balls and 10 red balls. Urn 2 contains 7 green balls...
Urn 1 contains 8 green balls and 10 red balls. Urn 2 contains 7
green balls and 5 red balls. A die is rolled, if a 1 or 2 is
rolled, a ball is chosen from urn 1, if a 3, 4, 5, or 6 is rolled,
a balls is chosen from urn 2. What is the probability of selecting
a green ball? Please show all work.
An urn contains 6 red balls and 4 green balls. Three balls are chosen randomly from...
An urn contains 6 red balls and 4 green balls. Three balls are
chosen randomly from the urn, without replacement.
(a) What is the probability that all three balls are red? (Round
your answer to four decimal places.)
(b) Suppose that you win $20 for each red ball drawn and you
lose $10 for each green ball drawn. Compute the expected value of
your winnings.
Conditional Probability Problem: An urn contains 5 red balls, 4 green balls, and 4 yellow balls...
Conditional Probability Problem: An urn contains 5 red balls, 4
green balls, and 4 yellow balls for a total of 13 balls. If 5 balls
are randomly selected without replacement what is the probability
of selecting at least two red balls given that at least one yellow
ball is selected?
a) 0.59
b) 0.61
c) 0.63
d) 0.65
e) 0.67
An urn contains 5 red balls, 4 green balls and 4 yellow balls, for a total...
An urn contains 5 red balls, 4 green balls and 4 yellow balls,
for a total of 13 balls.
if five balls are randomly selected without replacement, what is
the probability of selecting at least two red balls, given that at
least one yellow ball is selected?
An urn contains 4 white balls and 6 red balls. A second urn contains 8 white...
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...
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...
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