13299220232+1329220232
2 answers:
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Problems a through c are asking you what the values would be at those values.
What will the value of be at
? Let's look at the graph.
It seems at ,
, meaning that
Let's do the same for the others.
At ,
At ,
For the last question, it is giving us the value and asking us which
values would give us that.
At ,
.
*Note* this function is continuous to the right, meaning that there is another point where .
Hope this helps.
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Answer:
13.53% probability that no earthquakes with a magnitude of 6.5 or greater strike the San Francisco Bay Area in the next 40 years
Step-by-step explanation:
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
is the Euler number
is the mean in the given time interval.
According to geologists, the San Francisco Bay Area experiences five earthquakes with a magnitude of 6.5 or greater every 100 years.
One earthquake each 100/5 = 20 years.
What is the probability that no earthquakes with a magnitude of 6.5 or greater strike the San Francisco Bay Area in the next 40 years?
40 years, so
This probability is P(X = 0).
13.53% probability that no earthquakes with a magnitude of 6.5 or greater strike the San Francisco Bay Area in the next 40 years