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?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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