Question

a particular employee arrives at work sometime between 8:00 a.m. and 8:50 a.m. based on past experience the company has determined that the employee is equally likely to arrive at any time between 8:00 a.m. and 8:50 a.m. find the probability that the employee will arrive between 8:30 a.m. and 8:35 a.m. round your answer to four decimal places, if necessary.

Answer 1

The probability that the employee arrives between 8:30 a.m. and 8:35 a.m. is 0.1000 or 10%, calculated using the uniform distribution over a 50-minute interval.

Step-by-step explanation:

To find the probability that the employee will arrive between 8:30 a.m. and 8:35 a.m., we can use the concept of uniform distribution since the employee is equally likely to arrive at any time between 8:00 a.m. and 8:50 a.m. The total time span from 8:00 a.m. to 8:50 a.m. is 50 minutes. The time span for the employee to arrive between 8:30 a.m. and 8:35 a.m. is 5 minutes.

The probability = (Desired Time Span) / (Total Time Span) = 5 minutes / 50 minutes = 0.1. To round this to four decimal places, we have 0.1000.

Therefore, the probability that the employee arrives between 8:30 a.m. and 8:35 a.m. is 0.1000 or 10%.

Answer 2

The probability that the employee will arrive between 8:30 a.m. and 8:35 a.m. is 0.1 or, rounded to four decimal places, 0.1000.

Step-by-step explanation:

The probability that the employee will arrive between 8:30 a.m. and 8:35 a.m. can be calculated using the uniform distribution model, as it is stated that arrival time is equally likely between 8:00 a.m. and 8:50 a.m. The total time interval from 8:00 a.m. to 8:50 a.m. is 50 minutes. The employee arriving between 8:30 a.m. and 8:35 a.m. is a 5-minute window.

To find the probability, we divide the time interval of interest by the total time interval:

Probability = Time Interval of Interest / Total Time Interval
Probability = 5 minutes / 50 minutes
Probability = 0.1

So, the probability that the employee arrives between 8:30 a.m. and 8:35 a.m. is 0.1 or, when rounded to four decimal places, 0.1000.