Binomial Probability Formula, Mean, Variance, Standard Deviation Name Making Con

Question

Binomial Probability Formula, Mean, Variance, Standard Deviation Name Making Connections from Sample Space to Probability and Binomial Distributions 1. List the four requirements for a Binomial Probability Distribution 2. Using a sample space, list the eight (2) outcomes of flipping 3 coins 3. Using the sample space. complete the following probability distribution chart: #Heads -"(11) | 4. Using the chart, determine the probability of getting exactly 2 Heads P(exaetly 2 H)- s. Does this activity describe a binomial probability distribution? Why or why not? 6. Defining a Head as a "success". identify the following if you want to find the probability of getting exactly 2 Heads when flipping three coins 15

Explanation / Answer

1.) Four requirements of binomial distribution:

2.) The list of outcomes of flipping 3 coins:

The list of possible outcomes are:

HHH, HHT, HTH, HTT, THH, THT, TTH and TTT.

3.) Probability distribution table:

4.) The probability of getting exactly 2 heads:

P(H=2)= 3/8

5.) Yes, this is a binomial probability distribution because it follows all the above conditions.

6.) n=8 ,X=2 , p=3/8 , q=1-3/8=5/8

# Heads P(H) 3 1/8 2 3/8 1 3/8 0 1/8

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