Question

the number of absences for one week for all students at a high school were compiled, and the probability distribution below was created. what is the probability in any given week that a randomly selected student will be absent no more than one day?

probability distribution
\

$$\begin{tabular}{|c|c|} \\hline days absent: x & probability: p(x) \\\\ \\hline 0 & 0.78 \\\\ \\hline 1 & 0.14 \\\\ \\hline 2 & 0.03 \\\\ \\hline 3 & 0.01 \\\\ \\hline 4 & 0 \\\\ \\hline 5 & 0.04 \\\\ \\hline \\end{tabular}$$

• 0.08
• 0.14
• 0.78

Explanation:

Identify the target event

Using the Probability Distribution knowledge point
The problem asks for the probability that a randomly selected student is absent "no more than one day." This corresponds to the event:

$$ X \le 1 $$

This event includes the outcomes where the number of days absent \(X\) is either \(0\) or \(1\).

Sum the corresponding probabilities

Using the Probability Addition Rule knowledge point

$$
LATEXBLOCK0
$$

Answer:

• (A) 0.08
• (B) 0.14
• (C) 0.78
• (D) 0.92 (Correct answer)