Hello, I have a science project and I need to write an essay about a NON FAMOUS scientist any suggestions?
2 answers:
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Hello!
Use the Pythagorean Theorem to solve for the hypotenuse:
a² + b² = c²
Plug in the given values:
12² + 4² = c²
144 + 16 = c²
160 = c²
Take the square root of both sides:
c = √160
c ≈ 12.65.
Answer:
a) The probability that at least 3 months elapse before the first earthquake of destructive magnitude occurs is P=0.7788
b) The probability that at least 7 months elapsed before the first earthquake of destructive magnitude occurs knowing that 3 months have already elapsed is P=0.7165
Step-by-step explanation:
Tha most appropiate distribution to model the probability of this events is the exponential distribution.
The cumulative distribution function of the exponential distribution is given by:
The destructive earthquakes happen in average once a year. This can be expressed by the parameter λ=1/year.
We can express the probability of having a 3 month period (t=3/12=0.25) without destructive earthquakes as:
Applying the memory-less property of the exponential distribution, in which the past events don't affect the future probabilities, the probability of having at least 7 months (t=0.58) elapsed before the first earthquake given that 3 months have already elapsed, is the same as the probability of having 4 months elapsed before an earthquake.