savagerivers808
savagerivers808 savagerivers808
  • 21-01-2019
  • Mathematics
contestada

in a given binominal distribution, there are 625 trials, and the probability of success is p=0.29. What is the variance?

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remotecontrolbrain
remotecontrolbrain remotecontrolbrain
  • 21-01-2019

Answer:

The variance is 129

Step-by-step explanation:

The variance of a binomial distribution is defined as

[tex]np(1-p)[/tex]

where n is the number of trials, and p is the prob of success. So in your case the variance is:

[tex]625\cdot 0.29\cdot 0.71 \approx 129[/tex]

(I am intentionally rounding to nearest integer to make the variance a meaningful value, since the events are discrete and not fractional measurements)

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