Question

An urn has n − 3 green balls and 3 red balls. Draw balls with replacement....

An urn has n − 3 green balls and 3 red balls. Draw balls with replacement. Let B denote the event that a red ball is seen at least once. Find P(B) using the following methods

.(a) Use inclusion-exclusion with the events Ai = {ith draw is red}. Hint. Use the general inclusion-exclusion formula from Fact 1.26 and the binomial theorem from Fact D.2.

(b) Decompose the event by considering the events of seeing a red ball exactly k times, with k = 1, 2,..., .

(c) Compute the probability by considering the complement Bc.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
An urn contains 29 red, 22 green and 10 yellow balls. Draw two balls with replacement....
An urn contains 29 red, 22 green and 10 yellow balls. Draw two balls with replacement. What is the probability that the number of red balls in the sample is exactly 1 or the number of yellow balls in the sample is exactly 1 (or both)?
Urn A has 8 Red balls and 5 Green balls while Urn B has 1 Red...
Urn A has 8 Red balls and 5 Green balls while Urn B has 1 Red ball and 3 Green balls. A fair die is tossed. If a “5” or a “6” are rolled, a ball is drawn from Urn A. Otherwise, a ball is drawn from Urn B. (a) Determine the conditional probability that the chosen ball is Red given that Urn A is selected? (b) Determine the conditional probability that the chosen ball is Red and Urn B...
An urn contains 10 balls, 2 red, 5 blue, and 3 green balls. Take out 3...
An urn contains 10 balls, 2 red, 5 blue, and 3 green balls. Take out 3 balls at a random, without replacement. You win $2 for each green ball you select and lose $3 for each red ball you select. Let the random variable X denote the amount you win, determine the probability mass function of X.
An urn contains five blue, six green and seven red balls. You choose five balls at...
An urn contains five blue, six green and seven red balls. You choose five balls at random from the urn, without replacement (so you do not put a ball back in the urn after you pick it), what is the probability that you chose at least one ball of each color?(Hint: Consider the events: B, G, and R, denoting respectively that there are no blue, no green and no red balls chosen.)
An urn contains 25 red, 21 green, and 11 yellow balls. Draw two balls without replacement....
An urn contains 25 red, 21 green, and 11 yellow balls. Draw two balls without replacement. What is the the probability that both balls in the sample are red?probability = What is the probability that the number of red balls in the sample is exactly 1 or the number of yellow balls in the sample is exactly 1 (or both)?probability = Draw two balls with replacement. What is the probability that the number of red balls in the sample is...
Urn A contains 5 green and 3 red balls, and Urn B contains 2 green and...
Urn A contains 5 green and 3 red balls, and Urn B contains 2 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 A contains 6 green and 4 red balls, and Urn B contains 3 green and...
Urn A contains 6 green and 4 red balls, and Urn B contains 3 green and 7 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.
We have three urns: the first urn has 6 red balls and 4 green balls; the...
We have three urns: the first urn has 6 red balls and 4 green balls; the second urn has 15 red balls and 5 green balls and the third urn has 20 red balls and 10 green balls. We pick 4 balls from the first urn (sampling with replacement); we select 5 balls from the second urn (sampling with replacement) and we select 10 balls from the third urn (sampling with replacement). Let X1 denote the number of red balls...
2. Urn A contains 6 green and 4 red balls, and Urn B contains 3 green...
2. Urn A contains 6 green and 4 red balls, and Urn B contains 3 green and 7 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.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT