Intermediate Mathematics - Binomial probability function and distribution
Binomial probability function and distribution
A random variable (X = the number of successes in a fixed number of
Bernoulli trials) has a binomial distribution. 
The Binomial distribution is the most frequently used discrete
Note the following important characteristics of a binomially distributed
* the outcome of a single trial has only two possible outcomes: success
* there is a fixed, non-random, number of trials, n,
* the outcome of any trial should be independent of the outcomes of all
previous trials, and
* the probability of success, p, should not change from trial to
trial.The number of trials, n, and the probability of success, p, are
called the parameters  of the distribution.
A fair coin is tossed 4 times.
X = the number of heads in the four tosses.
Explain why X has a binomial distribution.
* Each toss can only result in one of two options: a head (success) or a
* _n _= 4 is a fixed, non-random number of trials.
* The outcome of each toss is not influenced by the outcome of any
previous toss. That is, the trials are independent.
* The probability of success is constant from trial to trial:_ p_ = Pr (a
head) = 0.5.
This variable has a binomial distribution, since the distribution has the
above four characteristics.
Determine and display the probability distribution, N, for the number of
heads obtained when a fair coin is tossed four times.
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