Jamal is using the distance formula to find the length, d, of the line segment. His work so far is shown. What is Jamal's next s
tep?
Jamal should find the a(midpoint of each leg) b(midpoint of d) c(length of each leg)
by a(adding the x coordinate and y coordinate) b(squaring x coordinate and y coordinate) c(subtracting x coordinate and y coordinate)
.
Jamal should find the a(midpoint of each leg) b(midpoint of d) c(length of each leg)
by a(adding the x coordinate and y coordinate) b(squaring x coordinate and y coordinate) c(subtracting x coordinate and y coordinate)
.
2 answers:
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Answer:
a) What is the probability that the duration of a particular rainfall event at this location is at least 2 hours?
We want this probability"
At most 3 hours?
b) What is the probability that rainfall duration exceeds the mean value by more than 2 standard deviations?
What is the probability that it is less than the mean value by more than one standard deviation?
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:
The cumulative distribution for this function is given by:
We know the value for the mean on this case we have that :
Solution to the problem
Part a
What is the probability that the duration of a particular rainfall event at this location is at least 2 hours?
We want this probability"
At most 3 hours?
Part b
What is the probability that rainfall duration exceeds the mean value by more than 2 standard deviations?
The variance for the esponential distribution is given by:
And the deviation would be:
And the mean is given by
Two deviations correspond to 5.540, so we want this probability:
What is the probability that it is less than the mean value by more than one standard deviation?
For this case we want this probablity:
Answer:
None of the listed
Step-by-step explanation: