Math Problem Statement
Construct the probability distribution for the number of heads obtained when tossing four coins. Draw a graph of the distribution.
Solution
Here is the graph of the probability distribution for the number of heads obtained when tossing four coins. The x-axis represents the number of heads, and the y-axis shows the probability of getting that number of heads.
Do you have any questions or would you like more details about this process?
Here are 5 follow-up questions:
- How would the probability distribution change if we tossed 5 coins instead of 4?
- What is the expected number of heads when tossing four coins?
- How can we calculate the variance and standard deviation of the number of heads?
- Can you explain how binomial distributions are related to this problem?
- What would the probability of getting at least 3 heads be?
Tip: When dealing with multiple coin tosses, you can use the binomial distribution formula to quickly find probabilities for any number of successes (heads).
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Math Problem Analysis
Mathematical Concepts
Probability
Binomial Distribution
Formulas
Binomial Probability Formula: P(X = k) = C(n, k) * p^k * (1-p)^(n-k)
Theorems
Binomial Theorem
Law of Large Numbers
Suitable Grade Level
Grades 9-12
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