Question

Suppose you are a lawyer representing a Hispanic individual in a criminal trial. Twelve jurors are randomly selected by the state from a population that you know to be 60% Hispanic. a. How many jurors would you expect to be Hispanic?

b. The select process produces a jury with 1 Hispanic individuals What proportion of the jury is Hispanic? (Enter your answer as a decimal, rounded to four decimal places)

c. Use the binomial distribution and find the probability that 1 or fewer jurors would be Hispanic.

d. Create a graph of the distribution with the area corresponding to the previous answer shaded in. Choices for creating a graph include: Excel, Binomial Distribution Calculator (in resources menu), TI-84 (take a pic), hand drawn, other software, websites. Upload your finished graph below.

Answer 1

Result:

Suppose you are a lawyer representing a Hispanic individual in a criminal trial. Twelve jurors are randomly selected by the state from a population that you know to be 60% Hispanic.

1. How many jurors would you expect to be Hispanic?
   
   n=12, p=0.60

Expected value = n*p=12*0.60 =7.2

Or

7( rounded).

b. The select process produces a jury with 1 Hispanic individuals What proportion of the jury is Hispanic? (Enter your answer as a decimal, rounded to four decimal places)
P=0.0003

Binomial Probabilities
Data
Sample size	12
Probability of an event of interest	0.6
Statistics
Mean	7.2
Variance	2.8800
Standard deviation	1.6971
Binomial Probabilities Table
	X	P(X)
	0	0.0000
	1	0.0003
	2	0.0025
	3	0.0125
	4	0.0420
	5	0.1009
	6	0.1766
	7	0.2270
	8	0.2128
	9	0.1419
	10	0.0639
	11	0.0174
	12	0.0022

1. Use the binomial distribution and find the probability that 1 or fewer jurors would be Hispanic.
   
   P( x ?1) =P( x=0)+P( x=1) =0.0000+0.0003 = 0.0003

d. Create a graph of the distribution with the area corresponding to the previous answer shaded in. Choices for creating a graph include: Excel, Binomial Distribution Calculator (in resources menu), TI-84 (take a pic), hand drawn, other software, websites. Upload your finished graph below.