Question

The mail arrival time to a department has a uniform distribution over 0 to 60 minutes. What is the probability that the mail arrival time is more than 30 minutes on a given day?

Answer 1

To find the probability that the mail arrival time is more than 30 minutes, calculate the area under the probability distribution curve from 30 to 60 minutes. The probability is 0.5.

Step-by-step explanation:

To find the probability that the mail arrival time is more than 30 minutes, we need to calculate the area under the probability distribution curve from 30 to 60 minutes.

Step-by-Step Solution:

1. First, we determine the total area under the probability distribution curve, which is equal to 1.
2. Next, we calculate the area under the curve from 0 to 30 minutes, which is equal to 30/60 = 0.5.
3. Finally, we subtract the area under the curve from 0 to 30 minutes from 1 to get the probability that the mail arrival time is more than 30 minutes: 1 - 0.5 = 0.5.

Therefore, the probability that the mail arrival time is more than 30 minutes on a given day is 0.5.