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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.
Two events A and B are independent events if the occurrence of event A is in no way related to the occurrence or non-occurrence of event B. Likewise for independent
f(x)=5x^-6 on the interval [1,infinity)
The curve (y+1) 2 =x 2 passes by the points (1, 0) and (- 1, 0). Does Rolle's Theorem clarify the conclusion that dy dx vanishes for some value of x in the interval -1≤x≤1?
cos inverse x -cos inverse 2x=pie\2
First, see that the right hand side of equation (2) is a polynomial and thus continuous. This implies that this can only change sign if this firstly goes by zero. Therefore, if the
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the sides of a quad taken at random are x+3y-7=0 x-2y-5=0 3x+2y-7=0 7x-y+17=0 obtain the equation of the diagonals
Solve the equation for x and check each solution. 2/(x+3) -3/(4-x) = 2x-2/(x 2 -x-12)
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