Question 1183558: is this a binominal distribution?
x | 0 | 1 | 2 | 3 |
____________________________________
p(x)| 0.027 | 0.189 | 0.441 | 0.343
choices:
1- the distribution does not represent a binomial distribution
2- the distribution represents a binomial distribution
find:-
the value of n is ___ and the value of p is ___
Answer by robertb(5830)   (Show Source):
You can put this solution on YOUR website! As it stands the table of values do NOT represent a binomial distribution.
There is a problem with the probabilities for x = 2 and x = 3 -- they should be interchanged.
But even more damning reason to say that this is not necessarily a binomial experiment
is the fact that the pmf only by itself alone does NOT define a distribution.
A distribution is defined by its underlying experiment, and in this case, there is no description of a binomial experiment ever happening.
A binomial experiment is a series of Bernoulli experiments, where each experiment/trial is characterized by a "yes-no" (1-0) outcome,
and the probability for the "yes" or the "no" doesn't change in each repetition of the Bernoulli experiment.
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