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:

  1. How would the probability distribution change if we tossed 5 coins instead of 4?
  2. What is the expected number of heads when tossing four coins?
  3. How can we calculate the variance and standard deviation of the number of heads?
  4. Can you explain how binomial distributions are related to this problem?
  5. 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