3. Predicting when a Florida hurricane occurs (Southeastern Geographer (Summer 2009)) In an effort to minimize the monetary losses that result from a devastating Florida hurricane, part of the researchers' analysis included a graphic showing the sequence number of tropical storms within a season that are most likely to develop into a hurricane. Data for 67 hurricanes are summarized in the table. Let x represent the sequence number of a Florida tropical storm within a season that develops into a hurricane ence Number 10 12 13 14 15 a) Explain why x represents a discrete random variable b) Specify the probability distribution for x c) Find P(x-5) d) Find P(x < 5) e) Find E(x) and interpret the result f) Is it likely to observe a hurricane after the 15th tropical storm of the season? Explain

Question
3. Predicting when a Florida hurricane occurs (Southeastern Geographer (Summer 2009))
In an effort to minimize the monetary losses that result from a devastating Florida hurricane, part
of the researchers' analysis included a graphic showing the sequence number of tropical storms
within a season that are most likely to develop into a hurricane. Data for 67 hurricanes are
summarized in the table. Let x represent the sequence number of a Florida tropical storm within
a season that develops into a hurricane
ence
Number
10
12
13
14
15
a) Explain why x represents a discrete random variable
b) Specify the probability distribution for x
c) Find P(x-5)
d) Find P(x < 5)
e) Find E(x) and interpret the result
f) Is it likely to observe a hurricane after the 15th tropical storm of the season? Explain
Expand
Transcribed Image Text

3. Predicting when a Florida hurricane occurs (Southeastern Geographer (Summer 2009)) In an effort to minimize the monetary losses that result from a devastating Florida hurricane, part of the researchers' analysis included a graphic showing the sequence number of tropical storms within a season that are most likely to develop into a hurricane. Data for 67 hurricanes are summarized in the table. Let x represent the sequence number of a Florida tropical storm within a season that develops into a hurricane ence Number 10 12 13 14 15 a) Explain why x represents a discrete random variable b) Specify the probability distribution for x c) Find P(x-5) d) Find P(x < 5) e) Find E(x) and interpret the result f) Is it likely to observe a hurricane after the 15th tropical storm of the season? Explain

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