SOLUTION: The probability that a certain state will be hit by a major tornado (category F4 or F5) in any single year is one thirteenth
. Use this information to answer the question b
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-> SOLUTION: The probability that a certain state will be hit by a major tornado (category F4 or F5) in any single year is one thirteenth
. Use this information to answer the question b
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Question 1146723: The probability that a certain state will be hit by a major tornado (category F4 or F5) in any single year is one thirteenth
. Use this information to answer the question below.
What is the probability that the state will be hit by a major tornado at least once in the next ten years?
You can put this solution on YOUR website! Use the Binomial Probability formula to solve this problem
:
Probability(P) (k successes in n trials) = nCk * p^k * (1-p)^(n-k), where p is the probability of success, nCk = n!/(k! * (n-k)!)
:
P(the state will be hit by a major tornado at least once in the next ten years) = 1 - P(k = 0 in n = 10 trials)
:
= 1 - 10!/(0! * (10 - 0)!) * (1/13)^0 * (1 - 1/13)^(10 - 0)
:
= 1 - 1 * 1 * (12/13)^10
:
= 1 - 0.4491
:
= 0.5509 is approximately 0.55
:
Probability the state will be hit by a major tornado at least once in the next ten years is 0.55
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