Please provide a clear and understandable solutions Example 3A basket contains 10 red balls and 4 white balls. If three balls are taken fromthe basket one after the other, determine the possible values of the random variableR representing the number of red balls.Solution:StepsSolution1. List the sample spaceS = {RRR, RRWW, RWR, WRR, WWR, WRW,RWW, WwW}2. Count the number of redballs in each outcome andOutcomeNumber of Red ballsassign this number to this(Value of R)outcome.RRR3.RRWRWRWRRWWR1WRW1RWW1wwwThe values of the random variable R (number of3. Conclusionred balls) in this experiment are 0, 1, 2, and 3.2. Direction: Complete the table below by constructing and illustrating theprobability distribution of Example 3 (refer to page 7).SolutionSteps1. List the sample space2. Count the number of tailsin each outcome andassign this number to thisoutcome.3. Construct the frequencydistribution of the values ofthe given random variable.4. Construct the probabilitydistribution of the givenrandom variable by gettingthe probability ofoccurrence of each value ofthe random variable.5. Construct the probabilityhistogram.

Answered: Image /qna-images/answer/7562667d-d3d1-4556-bcb0-bdd6fd428442.jpg

Direction: Complete the table below by constructing and probability distribution of Example 3 (refer to page 7. Solution Steps 1. List the sample space 2. Count the number of tails in each outcome and assign this number to this outcome. 3. Construct the frequency distribution of the values of the given random variable. 4. Construct the probability distribution of the given random variable by getting the probability of occurrence of each value of the random variable. 5. Construct the probability histogram.

Direction: Complete the table below by constructing and probability distribution of Example 3 (refer to page 7. Solution Steps 1. List the sample space 2. Count the number of tails in each outcome and assign this number to this outcome. 3. Construct the frequency distribution of the values of the given random variable. 4. Construct the probability distribution of the given random variable by getting the probability of occurrence of each value of the random variable. 5. Construct the probability histogram.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Please provide a clear and understandable solutions

Example 3
A basket contains 10 red balls and 4 white balls. If three balls are taken from
the basket one after the other, determine the possible values of the random variable
R representing the number of red balls.
Solution:
Steps
Solution
1. List the sample space
S = {RRR, RRWW, RWR, WRR, WWR, WRW,
RWW, WwW}
2. Count the number of red
balls in each outcome and
Outcome
Number of Red balls
assign this number to this
(Value of R)
outcome.
RRR
3.
RRW
RWR
WRR
WWR
1
WRW
1
RWW
1
www
The values of the random variable R (number of
3. Conclusion
red balls) in this experiment are 0, 1, 2, and 3.
2.

Direction: Complete the table below by constructing and illustrating the
probability distribution of Example 3 (refer to page 7).
Solution
Steps
1. List the sample space
2. Count the number of tails
in each outcome and
assign this number to this
outcome.
3. Construct the frequency
distribution of the values of
the given random variable.
4. Construct the probability
distribution of the given
random variable by getting
the probability of
occurrence of each value of
the random variable.
5. Construct the probability
histogram.

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