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Properties of bionomial distribution, Exercises of Statistics

what are the properties of bionomial distribution

Typology: Exercises

2018/2019

Uploaded on 04/29/2019

naveeng123
naveeng123 🇺🇸

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Binomial Distribuon
A binomial random variable is the number of successes x in n repeated trials of a binomial
experiment. The probability distribuon of a binomial random variable is called a binomial
distribuon.
Suppose we ip a coin two mes and count the number of heads (successes). The binomial
random variable is the number of heads, which can take on values of 0, 1, or 2. The binomial
distribuon is presented below.
Number of heads Probability
0 0.25
1 0.50
2 0.25
The binomial distribuon has the following properes:
The mean of the distribuon (μx) is equal to n * P .
The variance (σ2x) is n * P * ( 1 - P ).
The standard deviaon (σx) is sqrt[ n * P * ( 1 - P ) ].

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Binomial Distribu�on A binomial random variable is the number of successes x in n repeated trials of a binomial experiment. The probability distribu�on of a binomial random variable is called a binomial distribu�on.

Suppose we flip a coin two �mes and count the number of heads (successes). The binomial random variable is the number of heads, which can take on values of 0, 1, or 2. The binomial distribu�on is presented below.

Number of heads Probability 0 0. 1 0. 2 0. The binomial distribu�on has the following proper�es:

The mean of the distribu�on (μx) is equal to n * P. The variance (σ2x) is n * P * ( 1 - P ). The standard devia�on (σx) is sqrt[ n * P * ( 1 - P ) ].