Difference between revisions of "Manuals/calci/BERNOULLI"

Latest revision as of 14:01, 7 December 2016

BERNOULLIDISTRIBUTED(k,p)

This function gives the value of the Bernoulli distribution.
It is a discrete probability distribution.
Bernoulli distribution is the theoretical distribution of the number of successes in a finite set of independent trials with a constant probability of success.
The Bernoulli distribution is simply BINOM(1,P).
This distribution best describes all situations where a trial is made resulting in either success or failure, such as when tossing a coin, or when modeling the success or failure.
$BERNOULLIDISTRIBUTED(k,p)$ , $k$ represents the number of variables.
$p$ is the probability value. The $p$ vaule is ranges from 0 to 1.
The Bernoulli distribution is defined by: $f(x)=p^{x}(1-p)^{1-x}$ for x=0,1, where $p$ is the probability that a particular event will occur.
The probability mass function is : $f(k,p)={\begin{cases}pif&k=1\\1-pif&k=0.\end{cases}}$
This function will give the result as error when

      1. Any one of the argument is nonnumeric.
      2. The value of p<0 or p>1.

The syntax is to calculate this function in ZOS is .
- $a$ represents the number of variables.
- $b$ is the probability value.
For e.g.,BERNOULLIDISTRIBUTED(5,0.4)
BERNOULLIDISTRIBUTED(3..7,0.7)

@@ Line 12: / Line 12: @@
 *<math>p</math> is the probability value. The <math>p</math> vaule is ranges from 0 to 1.
 *The Bernoulli distribution is defined by:<math>f(x)=p^x(1-p)^{1-x}</math> for x=0,1, where <math>p</math> is the probability that a particular event will occur.
-*The probability mass function is :<math>f(k,p) = \begin{cases}p &if& k=1\\
+*The probability mass function is :<math>f(k,p) = \begin{cases}p if& k=1\\
--p &if &k=0.
+-p if &k=0.
                                                     \end{cases}</math>
 *This function will give the result as error when