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. 0.031 1 0.156 2 0.313 3 0.313 4 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.
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. 0.031 1 0.156 2 0.313 3 0.313 4 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.
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...
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON