Binomial Distribution Assignment Help (1 Viewer)

[LightSunset]

In 1953 there was an historic case concerning jury selection. A jury in Fulton County, Georgia had convicted Avery, an African-American, of a serious felony. The facts of the jury selection were as follows:  There were no African-Americans on the jury.  There were 165 814 African-Americans in Fulton County, which had a population of 691 797.  The list of 21 624 potential jurors had 1115 African-Americans.  A jury pool of 60 people was selected from the list of 21 624 potential jurors, from which the final pool of 12 actual jurors was selected. The pool of 60 people had no African-Americans in it.
Note: You may require an online high-precision calculator which displays more decimal places than a handheld calculator to compute some of these probabilities.

1. If 12 jurors were selected at random from the population of Fulton County, estimate the probability that there would be no African-Americans on the jury.

2. Can having only 1115 African-Americans on the list of 21 624 potential jurors be attributed to chance?
3. The jury pool of 60 people was selected from the list of 21 624 potential jurors. Can getting no African-Americans in the jury pool be attributed to chance?

I need help for question 2 and 3. I solved question 1 which is 525983C12/ 691797C12 . How do I do 2 and 3?

 

[Drongoski]

Question too bloody long!