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
○ 0.88
○ 0.14
○ 0.78
○ 0.92

Explanation:

Step1: Identify relevant probabilities

We need the probability that a student is absent no more than 1 day, which means \( X = 0 \) or \( X = 1 \). The probabilities are \( P(0) = 0.78 \) and \( P(1) = 0.14 \).

Step2: Sum the probabilities

To find the total probability, we add \( P(0) \) and \( P(1) \): \( 0.78 + 0.14 = 0.92 \).

Answer:

0.92