pay your bills: a company audit showed that of 519 bills that were sent out, 331 were paid on time, 105 were…

pay your bills: a company audit showed that of 519 bills that were sent out, 331 were paid on time, 105 were paid up to 30 days late, 67 were paid between 31 and 90 days late, and 16 remained unpaid after 90 days. one bill is selected at random. part 1 of 2 (a) what is the probability that the bill was paid on time? round your answer to four decimal places. the probability that the bill was paid on time is 0.6378 part: 1 / 2 part 2 of 2 (b) what is the probability that the bill was not paid on time? round your answer to four decimal places. the probability that the bill was not paid on time is
Answer
Explanation:
Step1: Recall probability formula
The probability of an event $A$ not occurring, denoted as $P(\overline{A})$, is given by $P(\overline{A})=1 - P(A)$. Here, event $A$ is the bill being paid on - time. We know from part (a) that $P(A) = 0.6378$.
Step2: Calculate non - on - time probability
$P(\overline{A})=1 - 0.6378$ $P(\overline{A}) = 0.3622$
Answer:
$0.3622$