MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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List the characteristics of the binomial distribution.
Write out the formula/equation of the binomial distribution
Write out, in a sentence each, what the two parts of the equation mean (what they are for, what
each part does).
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Transcribed Image Text:List the characteristics of the binomial distribution. Write out the formula/equation of the binomial distribution Write out, in a sentence each, what the two parts of the equation mean (what they are for, what each part does).
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Step 1

The characteristics of binomial experiment are:

  • For each trial, there are only two possible outcomes, success and failure
  • The probability of success, p remains the same from trial to trial.
  • The trials are independent to each other.
  • The number of trials, n is finite.
Step 2

Binomial distribution:

The binomial distribution gives the probability of number of successes out of n trials in a series of Bernoulli trials.

The probability mass function (pmf) of a binomial random variable X is given as:

PX=x=nx px qn-x ; for x=0,1,...,n where 0<p<1 and q=1-p0, otherwise.

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