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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.
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What percent of the figure below is shaded? Break the rectangle into eighths as shown below. The shaded part is 6/8 or 3/4 ; 3/4 is 75%.
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