Difference between revisions of "Manuals/calci/BERNOULLIDISTRIBUTED"
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− | == | + | <div style="font-size:30px">'''BERNOULLIDISTRIBUTED (Numbers,Probability)'''</div><br/> |
+ | *<math>Numbers </math> is the number of variables. | ||
+ | *<math>Probability</math> is the value range from 0 to 1. | ||
+ | |||
+ | ==Description== | ||
+ | *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 <math>BERNOULLIDISTRIBUTED(Numbers,Probability)</math> ,<math>Numbers</math> represents the number of variables. | ||
+ | *<math>Probability</math> is the probability value. | ||
+ | *The <math>Probability</math> 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 :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} | ||
+ | *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. |
Revision as of 13:42, 7 December 2016
BERNOULLIDISTRIBUTED (Numbers,Probability)
- is the number of variables.
- is the value range from 0 to 1.
Description
- 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 , represents the number of variables.
- is the probability value.
- The 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 :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}
- 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.