satwikap3304
05.03.2020 •
Mathematics
Data collected at Toronto Pearson International Airport suggest that an exponential distribution with mean value 2,725 hours is a good model for rainfall duration. What is the probability that the duration of a particular rainfall event at this location is at least 2 hours?
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Ответ:
And we can calculate this with the complement rule like this:
And using the cdf we got:
Step-by-step explanation:
Previous concepts
The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:
And 0 for other case. Let X the random variable of interest:
Solution to the problem
We want to calculate this probability:
And we can calculate this with the complement rule like this:
And using the cdf we got:
Ответ:
this 8th grade work right
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Step-by-step explanation: