Six jurors are to be selected from a pool of 20 potential candidates to hear a c

Question

Six jurors are to be selected from a pool of 20 potential candidates to hear a civil case involving a lawsuit between two families. Unknown to the judge or any of the attorneys, 4 of the 20 prospective jurors are potentially prejudiced by belng acquainted with one or more of the litigants. They will not disclose this during the jury selection process. If 6 jurors are selected at random from this group of 20, find the probability that the number of potentially prejudiced jurors among the 6 selected jurors is exactly 1 Round your answer to four decimal places. P(exactly 1)- the tolerance is +/-296

Explanation / Answer

Solution:- The probability thta the number of potentially prejuciced jurors among 6 selected jurors is exactly one is 0.3932.

p = 4/20

p = 0.20

n = 6

x = 1

By applying binomial distributiion:-

P(x,n) = nCx*px*(1-p)(n-x)

P(x = 1) = 0.3932

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