How can I get the probability of a binomial distribution

slaggingV

slaggingV

Answered question

2021-09-23

How can I get the probability of a binomial distribution if the values are between 6 and 9, and the number of trials is 19?

Answer & Explanation

Liyana Mansell

Liyana Mansell

Skilled2021-09-24Added 97 answers

Step 1
According to the provided data, the number of trials, n is 19 and the probability of success is p.
The basic formula to obtain the probability of a binomial distribution is,
P(X=x)=nCxpx(1p)nx
Step 2
The probability of this binomial distribution can be obtained as:
P(6X9)=P(X=6)+P(X=7)+P(X=8)+P(X=9)
=({19}C6p6(1p)196+19C7p7(1p)197+19C8p8(1p)198+19C9p9(1p)199)

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