Probability of an event being active

[cloud200]

Hi,
This is my first time here and I hope that I am asking for help in the correct place.
This is the problem I need to figure out:


This is the given set of data:
Over a 1000 second interval
Time of event P = 12 seconds
Chance of event P occuring = 11.25%
Frequency of F = 2.8325 seconds

every 2.8325 seconds event F occurs. 11.25% of the time that F occurs, event P will occur. event P lasts for 12 seconds.

The problem:
On average, how many times will event P have occurred?
What is the average amount of time that event P will be active?



Thank you for your time and help!

Edit: Sorry! i made a typo and wrote K in the problem instead of P

 

[cloud200]

I am not asking for a direct answer to the problem. I just dont know how to go about solving for the overlapping time on event p.

any hints pointing me in the correct direction would be appreciated.