## Transducer Types and Their Applications

###### 01-08-2019

What is transducer? What are transducer types? Find out more about transducer types and their applications on HangOuter.

What is transducer? What are transducer types? Find out more about transducer types and their applications on HangOuter.

The Central Limit Theorem or CLT in short says that the distribution of **scaled** random variable approaches a normal distribution.

According to law the sample mean \(\bar X\) of a large number of i.i.d.(independent identically distributed) random variables, with high probability, is very close to the mean, from a distribution for which it was taken.

If we have sequence of random variables \(X_1, X_2, ... X_n\), we can define Sample Mean \(\bar X\) as their average:
$$\bar X = {1 \over n}(X_1 + X_2 + ... + X_n)$$

Says that the proability that X is far away from its mean, is bounded by quantity that increases as Var(X) increases.

Puts bound on how much probability can be at arbitrarily large values once its mean is specified:
$$if \;\;P(X \ge 0) = 1 $$ then
$$P(X \ge t) \le {E(X) \over t}, where ~t > 0$$