Pay Your bills: A company audit showed that of 912 bills that were sent out, 602 were paid on time, 117 were paid up to 30 days late, 57 were paid between 31 and 90 days late, and 136 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 0.6601 . 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 $\times \quad 5$
Solution
Step 1 ：The total number of bills sent out is 912.
Step 2 ：The number of bills paid on time is 602.
Step 3 ：The number of bills not paid on time is the sum of the number of bills paid up to 30 days late, the number of bills paid between 31 and 90 days late, and the number of bills unpaid after 90 days, which is 117 + 57 + 136 = 310.
Step 4 ：To calculate the probability of an event, we divide the number of ways the event can occur by the total number of outcomes.
Step 5 ：The probability that the bill was paid on time is \(\frac{602}{912} = 0.6601\).
Step 6 ：The probability that the bill was not paid on time is \(\frac{310}{912} = 0.3399\).
Step 7 ：Final Answer: The probability that the bill was paid on time is \(\boxed{0.6601}\). The probability that the bill was not paid on time is \(\boxed{0.3399}\).
