Difference between revisions of "Manuals/calci/BERNOULLIDISTRIBUTED"

Revision as of 13:56, 7 December 2016

BERNOULLIDISTRIBUTED (Numbers,Probability)

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.
In $BERNOULLIDISTRIBUTED(Numbers,Probability)$ , $Numbers$ represents the number of variables.
$Probability$ is the probability value.
The $Probability$ 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 :math>f(k,p) = \begin{cases}p &if& k=1\\

                                                            1-p &if &k=0. 
                                                  \end{cases}</math>

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

@@ Line 13: / Line 13: @@
 *The <math>Probability</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 p is the probability that a particular event will occur.
-*The probability mass function is :Failed to parse(PNG conversion failed; check for correct installation of latex and dvipng (or dvips + gs + convert)): f(k,p) = \begin{cases}p &if& k=1\\ 1-p &if &k=0. \end{cases}
+*The probability mass function is :math>f(k,p) = \begin{cases}p &if& k=1\\
+-p &if &k=0.
+                                                   \end{cases}</math>
 *This function will give the result as error when
 . Any one of the argument is nonnumeric.
 . The value of p<0 or p>1.