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Q. Illustrate Exponential Distribution?
Ans.
These are two examples of events that have an exponential distribution:
The length of time you wait at a bus stop for the next bus.
The length of time a scientist waits with a Geiger counter until a radioactive particle is recorded.
The exponential distribution occurs when events comply with the following requirements:
Requirements
Events occur randomly over time according to the following:
1. Independence - the number of occurrences in non-overlapping intervals are independent.
2. Individuality - events don't occur too close to each other (i.e. in a short amount of time the probability of 2 or more occurrences is zero.)
3. Uniformity - there is a constant rate at which occurrences occur.
If X represents the length of time we wait for the first occurrence, then X has an exponential distribution.
Integrate following. ∫ -2 2 4x 4 - x 2 + 1dx Solution In this case the integrand is even & the interval is accurate so, ∫ -2 2 4x 4 - x 2 + 1dx = 2∫ o
In triangle ABC, if sinA/csinB+sinB/c+sinC/b=c/ab+b/ac+a/bc then find the value of angle A.
v=u+at s=ut+1/2at^2
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(a+b+c)2=
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