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.Com
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)   (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.
==============

RELATED QUESTIONS

Suppose the National Hurricane Center forecasts that hurricanes will hit the strike area... (answered by stanbon)
The probability that a region prone to hurricanes will be hit by a hurricane in any... (answered by stanbon)
Find the indicated probabilities using the geometric distribution, the Poisson... (answered by Boreal)
19. Find the indicated probabilities using the geometric distribution or Poisson... (answered by ewatrrr)
Find the indicated probabilities using the geometric​ distribution, the Poisson​... (answered by Boreal)
Find the indicated probabilities using the geometric​ distribution, the... (answered by Boreal)
Find the indicated probabilities using the geometric​ distribution, the... (answered by robertb)
For the past 107 ​years, a certain state suffered 28 direct hits from major​... (answered by MathLover1)
For the past 111 years, a certain state suffered 32 direct hits from major(category 3 to... (answered by mathmate)