2. This is our
member
Đoàn Nguyễn Hà Phương - K224050717
Nguyễn Thanh Thảo - K224050722
Trần Bội Quân - K224050718
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Nguyễn Thảo Vân - K224050730
Cao Thị Huyền Trân - K224050724
Bùi Phương Hoài - K224030434
3. What we'll discuss ?
- Definition and illustration of Law
of Large Number.
- History of Law of Large
Number.
- Some Applications in Game,
Business and Insurance.
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5. "An unknow Proportion
can reach a degree of
accurancy through an
appropriate number of
trials "
- Jacob Bernoulli -
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6. The number of trials or observations increases,
the empirical probability will get closer and
closer to the actual or the theoretical
probability of the event.
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7. The number of trials or observations increases,
the empirical probability will get closer and
closer to the actual or the theoretical
probability of the event
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17. An observed sample average
from a large sample will be close
to the true population average
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18. A small sample will reflect the true
population characteristics
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19. The law of large numbers indicates a
bigger sample will represent a
population mean
The central tendency theorem states
a bigger sample will represent a
population's distribution
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24. 1501 - 1575
GerolamoCardano
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He found that as more trials are conducted, the
result will become closer to the desired result.
But he can't proved it!
This is the foundation of the Law of Large
number.
25. JacobBernoulli
1713
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He proved the Law of Large number in 1713
It took him 20 years to develop a sufficiently
rigorous mathematical proof
It became generally known as "Bernoulli's theorem"
27. 1867
PafnutyChebyshev
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There is also a more general version of the
law of large numbers for averages, proved
more than a century later by the Russian
mathematician Pafnuty Chebyshev
35. In 2020: $24.604 billions.
Increase of roughly 79%
The law indicates that as
Tesla continues to grow !
36. - The relationship between scale and growth
rates.
- As a company becomes bigger, it will experience
difficulties maintaining percentage targets.
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43. - Companies often acquiring smaller growth companies that
can infuse scalable growth.
- They also attempt to become more efficient and utilize
their size for manufacturing, ordering, or distribution
benefits.
- Last, companies can be more attentive to dollar goals as
opposed to percent goals.