Question

1.) A binomial experiment consists of 19 trials. The probability of success on trial 12 is 0.54. What is the probability of success on trial 16?

• 0.54
• 0.15
• 0.39
• 0.88
• 0.5
• 0.11

2. Assume that 12 jurors are randomly selected from a population in which 86% of the people are Asian-Americans. Refer to the probability distribution table below and find the indicated probabilities.

xx	P(x)P(x)
0	0+
1	0+
2	0+
3	0+
4	0+
5	0.0004
6	0.0028
7	0.0148
8	0.0569
9	0.1553
10	0.2863
11	0.3197
12	0.1637

Find the probability of exactly 7 Asian-Americans among 12 jurors.
P(x=7)=P(x=7)=

Find the probability of 7 or fewer Asian-Americans among 12 jurors.
P(x≤7)=P(x≤7)=

Does 7 Asian-Americans among 12 jurors suggest that the selection process discriminates against Asian-Americans?

• no
• yes

Answer 1

Answer 1

The probability of success in a binomial experiment remains the same across all trials.

Answer 2

Yes, because the probability of that happening is just 0.0148 = 1.48%. So if only 7 Asian-Americans among 12 jurors are present that means that the selection process discriminates against Asian-Americans.

Calculations

The probabilities are provided as:

X	P(X=x)
0	0.0000
1	0.0000
2	0.0000
3	0.0000
4	0.0000
5	0.0004
6	0.0028
7	0.0148
8	0.0569
9	0.1553
10	0.2863
11	0.3197
12	0.1637

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