Question

what type of data distribution is shown on the graph? coin toss number of heads: x probability p(x) 0 0.2 0.4 0.6

Explanation:

1. The graph shows the probability \( P(X) \) for the number of heads (\( X \)) in coin tosses.
2. It has discrete values for \( X \) (0, 1, 2) with corresponding probabilities, so it represents a discrete probability distribution (the visual is a probability histogram, a type of bar graph for discrete probability distributions).
3. For a coin toss (a binomial trial with \( n \) trials, here likely \( n = 2 \) as \( X \) can be 0, 1, 2), the probabilities of getting \( k \) heads follow a binomial probability distribution, and this graph displays the probabilities for each possible value of \( X \).

Answer:

Probability Distribution (specifically a Discrete Probability Distribution, likely for a binomial experiment like coin tosses, and the graph is a Probability Histogram)