To be a “valid” binomial distribution, the proceduremust meet all of the followi

Question

To be a “valid” binomial distribution, the proceduremust meet all of the following requirements:

1.     The procedure has a fixed numberof trials. [n]

2.     The trials must beindependent. (The outcome of any individual trialdoesn’t affect the probabilities in the other trials).

3.     Each trial must have all outcomesclassified into two categories – successes andfailures, yes’s and no’s, etc.

4.     The probabilities must remainconstant for each trial. [p is probability ofsuccess, q is probability of failure]

Determine whether the given procedure results in abinomial distribution. For those that are not binomial, identify atleast one requirement that is not satisfied.

Explanation / Answer

Yes, that's binomial. There are two outcomes (5 or not 5), constantprobability of success (even though we don't know what theprobability of rolling a 5 is, it shouldn't change), independenttrials (one roll shouldn't influence another) and a fixed number oftrials (50)/

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