5. There are 4 red balls, 6 blue balls and 2 white balls in a bag. Suppose on every single turn, you randomly select a ball, see the color of it and put it back in the bag. Let's say, you do this 6 times. a. What is the probability that you get exactly 3 blue balls after 6 turns? b. What is the probability that you pick more than 4 blue balls after 6 turns? c. What is the mean number of red balls picked after 48 turns? d. What is the standard deviation of the number of white balls picked after 36 turns?
5. There are 4 red balls, 6 blue balls and 2 white balls in a bag. Suppose on every single turn, you randomly select a ball, see the color of it and put it back in the bag. Let's say, you do this 6 times. a. What is the probability that you get exactly 3 blue balls after 6 turns? b. What is the probability that you pick more than 4 blue balls after 6 turns? c. What is the mean number of red balls picked after 48 turns? d. What is the standard deviation of the number of white balls picked after 36 turns?
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 14T: An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten...
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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![5. There are 4 red balls, 6 blue balls and 2 white balls in a bag. Suppose on every single turn, you
randomly select a ball, see the color of it and put it back in the bag. Let's say, you do this 6 times.
a. What is the probability that you get exactly 3 blue balls after 6 turns?
b. What is the probability that you pick more than 4 blue balls after 6 turns?
c. What is the mean number of red balls picked after 48 turns?
d. What is the standard deviation of the number of white balls picked after 36 turns?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5453ccd-d042-4e15-81ac-2370246bdadf%2F59ead183-b08a-4d7e-a76e-7067f91de50c%2F6oevim_processed.png&w=3840&q=75)
Transcribed Image Text:5. There are 4 red balls, 6 blue balls and 2 white balls in a bag. Suppose on every single turn, you
randomly select a ball, see the color of it and put it back in the bag. Let's say, you do this 6 times.
a. What is the probability that you get exactly 3 blue balls after 6 turns?
b. What is the probability that you pick more than 4 blue balls after 6 turns?
c. What is the mean number of red balls picked after 48 turns?
d. What is the standard deviation of the number of white balls picked after 36 turns?
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