A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment.n=11, p=0.75,x>=8

Reggie

Reggie

Answered question

2021-08-15

With the supplied parameters, an experiment in binomial probability is carried out. 
Compute the probability of x successes in the n independent trials of the experiment.n=11,p=0.75,x8

Answer & Explanation

Neelam Wainwright

Neelam Wainwright

Skilled2021-08-16Added 102 answers

We have a formula for the nominal distribution (X has binomial distributions with parameters n, p)
P(X=x)=nCxpx(1p)nx
In our case n=11,p=0.75,x>=8. Hence
P(X<5)=i=811Ci0.75i0.2511i0.2581+0.2581+0.15486+0.042235=0.713295
Result: 0.713295

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