A grocery chain conducted a random survey to determine the favorite flavor of a new potato crisp. The results are shown on the t
2 answers:
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Answer:
a) 0.3293 = 32.93% probability that the number of major hurricane to strike U.S mainland in any any give year is exactly one.
b) 0.878 = 87.8% probability that the number of major hurricane to strike U.S mainland in any any give year is at most one.
c) 0.122 = 12.2% probability that the number of major hurricane to strike U.S mainland in any any give year is more than one.
Step-by-step explanation:
We have the mean during an interval, which means that the Poisson distribution is used to solve this question.
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
During the 20th century the mean number of the major hurricanes to strike U.S mainland per year was 0.6.
This means that
Find the probability that the number of major hurricane to strike U.S mainland in any any give year is:
a) Exactly one
This is P(X = 1). So
0.3293 = 32.93% probability that the number of major hurricane to strike U.S mainland in any any give year is exactly one.
b) At most one
This is:
Then
0.878 = 87.8% probability that the number of major hurricane to strike U.S mainland in any any give year is at most one.
c) More than one
This is:
0.122 = 12.2% probability that the number of major hurricane to strike U.S mainland in any any give year is more than one.