Answer:
0.3888
Step-by-step explanation:
To solve the exercise we need a neutral time, so we define at 12:00 as time 0.
If the man arrives in a uniformly distributed time between 11:40 and 12:10, the time is distributed from -20 to 10.
If the woman arrives in a time evenly distributed between 11:45 and 12:20, the time is distributed from -15 to 20.
Assuming that each one arrives at 12: X and 12: Y for men and women, then the space of our time is defined as
Man [-20,10]
Woman [-15,20]
So,
Then,
The probability of finding an arrival less than 5 minutes is