3. The juror pool for the upcoming murder trial of a celebrity actor contains the names of 100000 individuals in the population who may be called for jury duty. It is known that 40% of the available jurors in the pool are Hispanics. A jury of size 12 is selected at random from this pool (that each of the 100000 individuals is equally likely to be selected). LetX = the number of Hispanics selected to be jurors for this jury. (a) Is it reasonable to assume that X has an (approximate) binomial distribution? If so, please i) specify what constitutes a Bernoulli trial in this case , ii) verify the Binomial conditions, and iii) identify the values of n and p. If not, explain why not.
3. The juror pool for the upcoming murder trial of a celebrity actor contains the names of 100000 individuals in the population who may be called for jury duty. It is known that 40% of the available jurors in the pool are Hispanics. A jury of size 12 is selected at random from this pool (that each of the 100000 individuals is equally likely to be selected). LetX = the number of Hispanics selected to be jurors for this jury. (a) Is it reasonable to assume that X has an (approximate) binomial distribution? If so, please i) specify what constitutes a Bernoulli trial in this case , ii) verify the Binomial conditions, and iii) identify the values of n and p. If not, explain why not.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:3. The juror pool for the upcoming murder trial of a celebrity actor contains the names of 100000 individuals
in the population who may be called for jury duty. It is known that 40% of the available jurors in the pool
are Hispanics. A jury of size 12 is selected at random from this pool (that each of the 100000 individuals
is equally likely to be selected). LetX = the number of Hispanics selected to be jurors for this jury.
(a) Is it reasonable to assume that X has an (approximate) binomial distribution? If so, please i) specify
what constitutes a Bernoulli trial in this case , ii) verify the Binomial conditions, and iii) identify
the values ofn and p. If not, explain why not.
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