To explain the pros and cons of binomial probability tables.

Jerold

Jerold

Answered question

2021-10-02

To explain the pros and cons of binomial probability tables.

Answer & Explanation

Roosevelt Houghton

Roosevelt Houghton

Skilled2021-10-03Added 106 answers

Binomial probability tables eliminate most of the computations required in calculating the probability for binomial distributions case. However, they contain only a relevant small number of different value of trials (n) and success probability (p). For binomial distribution, the probability of getting x number of success in n trails is given by:
px=(nx)px(1p)nx
(n)
0 and 1
Where p is the success probability in 1 trail. The binomial probability table have the probabilities calculated for different combinations of n,p and x. But the table does not include all the possible values. For example: For n=3,p=0.227 and x=2, the binomial probability table does not have the probability value for this combination. Hence, in this case, the probability of getting 2 successes in 3 trails need to be calculated manually.

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