the number of absences for one week for all students at a high school were compiled, and the probability…

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?\nprobability distribution\ndays absent: x probability: p(x)\n0 0.78\n1 0.14\n2 0.03\n3 0.01\n4 0\n5 0.04\n0.08\n0.14\n0.78\n0.92

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?\nprobability distribution\ndays absent: x probability: p(x)\n0 0.78\n1 0.14\n2 0.03\n3 0.01\n4 0\n5 0.04\n0.08\n0.14\n0.78\n0.92

Answer

Explanation:

Step1: Identify relevant probabilities

We want the probability of being absent 0 or 1 day. The probability of being absent 0 days is $P(X = 0)=0.78$ and the probability of being absent 1 day is $P(X = 1)=0.14$.

Step2: Use addition rule for mutually - exclusive events

Since a student can't be absent 0 days and 1 day at the same time (mutually - exclusive events), the probability of being absent no more than 1 day is $P(X\leq1)=P(X = 0)+P(X = 1)$. $P(X\leq1)=0.78 + 0.14$ $P(X\leq1)=0.92$

Answer:

0.92