You are responsible for quality control at Greycloak Hunting Lodge. Recently, you have had a problem with weekly deliveries of supplies to your most remote 14lodges. As far as you can tell, each of the lodges appears to be getting supplies 0.897 of the time, independently of one another.

What is the probability that all of your lodges get their supplies next week?

What is the probability that precisely 7 get their supplies next week?

The hunting season is 6 weeks long. What is the expected number of weeks without any supply problems?

What is the probability that you will have exactly 3 weeks without any supply problems?