Question

chapter 4.2 homework
score: 41/83 answered: 24/38
question 25
4.2 theoretical probability. complement.
xyz airlines reports that 92.6% of its flights arrive on time. what percent of its flights do not arrive on time?
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Explanation:

Step1: Recall probability - complement rule

The sum of the probability of an event occurring and the probability of its complement occurring is 100% or 1 in decimal form. Let $P(A)$ be the probability of flights arriving on - time and $P(\overline{A})$ be the probability of flights not arriving on - time. Then $P(A)+P(\overline{A}) = 100\%$.

Step2: Substitute the given value

We know that $P(A)=92.6\%$. So, $P(\overline{A})=100\% - P(A)$.
$P(\overline{A})=100 - 92.6$
$P(\overline{A}) = 7.4$

Answer:

7.4