Activity: Tossing 5 coins Conduct a small experiment on probability distribution by tossing 5 coins. Perform the experiment by tossing 5 coins 20 times, Observe the number of heads that will occur. The possible values of X or the number of heads in 5 coin tosses are 0,1,2,3,4, and 5. Keep track of the number of times each outcome occurred and complete the table below. Probability Distribution of the Random Variable X (Number of heads when tossing 5 coins) Relative Frequency [Frequency of Occurrence + Total Number of Times the 5 Coins Were Tossed] (Approximate Probability) Number of Heads Frequency of Occurrence Actual Probability P(x) 0.031 1 0.156 0.313 3. 0.313 4 0.156 5 0.031 After the experiment, answer the following questions based on your observations. a. Compare the approximate probability values and the actual probability values. How can you make the approximate probability values very close to the actual probability values? b. What is then expected mean and variance of the random variable X? Use the actual probability in your solution.

Activity: Tossing 5 coins Conduct a small experiment on probability distribution by tossing 5 coins. Perform the experiment by tossing 5 coins 20 times, Observe the number of heads that will occur. The possible values of X or the number of heads in 5 coin tosses are 0,1,2,3,4, and 5. Keep track of the number of times each outcome occurred and complete the table below. Probability Distribution of the Random Variable X (Number of heads when tossing 5 coins) Relative Frequency [Frequency of Occurrence + Total Number of Times the 5 Coins Were Tossed] (Approximate Probability) Number of Heads Frequency of Occurrence Actual Probability P(x) 0.031 1 0.156 0.313 3. 0.313 4 0.156 5 0.031 After the experiment, answer the following questions based on your observations. a. Compare the approximate probability values and the actual probability values. How can you make the approximate probability values very close to the actual probability values? b. What is then expected mean and variance of the random variable X? Use the actual probability in your solution.

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Description: Activity: Tossing 5 coinsConduct a small experiment on probability distribution by tossing 5 coins. Perform theexperiment by tossing 5 coins 20 times. Observe the number of heads that will occur. Thepossible values of X or the number of heads in 5 c

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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Concept explainers

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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Question

Activity: Tossing 5 coins
Conduct a small experiment on probability distribution by tossing 5 coins. Perform the
experiment by tossing 5 coins 20 times. Observe the number of heads that will occur. The
possible values of X or the number of heads in 5 coin tosses are 0,1,2,3,4, and 5. Keep track
of the number of times each outcome occurred and complete the table below.
Probability Distribution of the Random Variable X (Number of heads when tossing 5
coins)
Relative Frequency
[Frequency of Occurrence +
Total Number of Times the 5
Coins Were Tossed]
(Approximate Probability)
Number of
Frequency of
Occurrence
Actual Probability
P(x)
Heads
0.031
1
0.156
0.313
0.313
0.156
0.031
After the experiment, answer the following questions based on your observations.
a. Compare the approximate probability values and the actual probability values. How
can you make the approximate probability values very close to the actual probability
values?
b. What is then expected mean and variance of the random variable X? Use the actual
probability in your solution.
234

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