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
days absent: x | probability: p(x)
0 | 0.78
1 | 0.14
2 | 0.03
3 | 0.01
4 | 0
5 | 0.04
0.08
0.14
0.78
0.92

Explanation:

Step1: Identify relevant events

"Absent no more than 1 day" means \(X=0\) or \(X=1\).

Step2: Sum their probabilities

Add \(P(X=0)\) and \(P(X=1)\):
\(P(X \leq 1) = P(X=0) + P(X=1) = 0.78 + 0.14\)

Step3: Calculate the total

Compute the sum:
\(0.78 + 0.14 = 0.92\)

Answer:

0.92