Exponential: atomic decay. Assume atomic time-to-decay obeys exponential df with (inverse) mean rate of decay = 3, 3e-3r x > 0, f(a) = { 0, otherwise. Section 3. The Uniform and Exponential Distributions (LECTURE NOTES 5) density, pdf f(x) probability, cdf F(x) = P(X < x) 4 3 2 2 1 1 X X 4 Figure 3.7: f(x) and F(x) (a) Find F(x).

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Exponential: atomic decay. Assume atomic time-to-decay obeys exponential
df with (inverse) mean rate of decay A= 3,
3e-3r
x > 0,
f(x) = {
0,
otherwise.
Section 3. The Uniform and Exponential Distributions (LECTURE NOTES 5)
density, pdf f(x)
probability, cdf F(x) = P(X < x)
4
3
3
2
2
1
1
X
4
Figure 3.7: f(x) and F(x)
(а) Find F(a).
Transcribed Image Text:Exponential: atomic decay. Assume atomic time-to-decay obeys exponential df with (inverse) mean rate of decay A= 3, 3e-3r x > 0, f(x) = { 0, otherwise. Section 3. The Uniform and Exponential Distributions (LECTURE NOTES 5) density, pdf f(x) probability, cdf F(x) = P(X < x) 4 3 3 2 2 1 1 X 4 Figure 3.7: f(x) and F(x) (а) Find F(a).
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