Question

the number of siblings each student at a softball game has is recorded. the graph below shows the probability distribution of having any number of siblings, \\(x\\), for a randomly selected student. which number of siblings is least likely?

Explanation:

Identify the target of the question

Using the Probability Distribution and Discrete Random Variable knowledge points
The question asks which number of siblings, \(X\), is least likely. This corresponds to finding the value of \(X\) with the lowest probability \(P(X)\) on the graph.

Analyze the bar heights for each value

Using the Probability Distribution knowledge point

• \(0\text{ siblings}\): \(P(0) \approx 0.21\)
• \(1\text{ sibling}\): \(P(1) \approx 0.33\)
• \(2\text{ siblings}\): \(P(2) \approx 0.24\)
• \(3\text{ siblings}\): \(P(3) \approx 0.15\)
• \(4\text{ siblings}\): \(P(4) = 0\) (no bar is visible)
• \(5\text{ siblings}\): \(P(5) \approx 0.09\)

Determine the least likely outcome

Using the Probability Distribution knowledge point
Comparing the probabilities, \(P(4) = 0\) is the lowest value, making \(4\text{ siblings}\) the least likely outcome.

Answer:

• 0 siblings
• 3 siblings
• 4 siblings (Correct answer)