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=12, p = 0.4, x≤4 The probability of x ≤4 successes is (Round to four decimal places as needed.)

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A binomial probability experiment is conducted with the given parameters. Compute the probability of \( x \) successes in the \( n \) independent trials of the experiment.

\( n = 12, \, p = 0.4, \, x \leq 4 \)

The probability of \( x \leq 4 \) successes is [ \_\_\_\_ ]. (Round to four decimal places as needed.)

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Transcribed Image Text:A binomial probability experiment is conducted with the given parameters. Compute the probability of \( x \) successes in the \( n \) independent trials of the experiment. \( n = 12, \, p = 0.4, \, x \leq 4 \) The probability of \( x \leq 4 \) successes is [ \_\_\_\_ ]. (Round to four decimal places as needed.) There are no graphs or diagrams to explain in this image.
Expert Solution
Step 1: Determine the parameters

For the Binomial probability experiment, the parameters are given as follows:

The number of trials, n=12.

The probability of success, p=0.4.

For the variable, XBinomial(n,p), the probability mass function is given as:

P(X=x)=nCxpx(1p)x;x=0,1,2,...n

                  =0; Otherwise



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