SOLUTION: The National Hurricane Center forecasts that hurricanes will hit the strike areas with a .95 probability. What is the probability that 10 hurricanes reach landfall in the strike a

Algebra ->  Probability-and-statistics -> SOLUTION: The National Hurricane Center forecasts that hurricanes will hit the strike areas with a .95 probability. What is the probability that 10 hurricanes reach landfall in the strike a      Log On


   



Question 970343: The National Hurricane Center forecasts that hurricanes will hit the strike areas with a .95 probability. What is the probability that 10 hurricanes reach landfall in the strike area? What is the probability at least one of the 10 hurricanes reaches land outside the strike area?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The National Hurricane Center forecasts that hurricanes will hit the strike areas with a 0.95 probability. What is the probability that 10 hurricanes reach landfall in the strike area?
Ans: 0.95^10 = 0.6
--------------------------
What is the probability at least one of the 10 hurricanes reaches land outside the strike area?
--------------
P(strick outside) = 0.1
P(x = 1) = 10C1*0.1*0.9^9 = 0.3874
==============
Cheers,
Stan H.
==============